2nthrt (problem 3.4.6)
Time bar (total: 26.8s)
| 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)
| 16.8s | 7 012× | 5 | exit |
| 1.9s | 2 880× | 2 | valid |
| 1.2s | 2 875× | 1 | valid |
| 337.0ms | 2 501× | 0 | valid |
| 178.0ms | 1 529× | 0 | exit |
ival-pow: 16.1s (84.1% of total)adjust: 1.8s (9.3% of total)ival-div: 524.0ms (2.7% of total)ival-add: 407.0ms (2.1% of total)ival-sub: 293.0ms (1.5% of total)exact: 18.0ms (0.1% of total)ival-true: 18.0ms (0.1% of total)ival-assert: 11.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 1 | (2.530815344298019e+177 1.92976319228444e+145) | 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))) |
| 37 | 29 | (3.9402599270363514e-141 -7.401301225761298e-117) | 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 | 113 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 66 | 0 |
-.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))) | nan-rescue | 2 | 0 |
| ↳ | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | overflow | 26 | |
| ↳ | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 137 | 0 |
| - | 44 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 137 | 0 | 0 |
| - | 44 | 0 | 75 |
| number | freq |
|---|---|
| 0 | 75 |
| 1 | 181 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 81.0ms | 246× | 1 | valid |
| 76.0ms | 170× | 2 | valid |
| 8.0ms | 96× | 0 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-pow: 102.0ms (71.8% of total)adjust: 21.0ms (14.8% of total)ival-div: 8.0ms (5.6% of total)ival-add: 5.0ms (3.5% of total)ival-sub: 5.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 28 | 71 |
| 2 | 31 | 71 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 16 | 13 |
| 0 | 16 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 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))) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.0% | (-.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 13 to 8 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 |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)))) |
(+ 1 x) |
x |
(exp (/ (log x) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* x (+ 1 (/ 1 x))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ 1 n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 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 | |
|---|---|---|---|---|
| 22.0ms | 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))) |
| 22.0ms | 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))) |
| 7.0ms | 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))) |
| 2.0ms | 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))) |
| 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))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1454 |
| 1 | 845 | 1331 |
| 2 | 3085 | 1284 |
| 0 | 8423 | 1174 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)))) |
(+ 1 x) |
x |
(exp (/ (log x) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* x (+ 1 (/ 1 x))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ 1 n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ 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))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 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)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
x |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+ (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)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) |
(+ (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))))) |
(+.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) |
(* -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)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) x) |
(* -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)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x)) x) |
(* -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)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) (neg.f64 x))) x)) x) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(+ (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))) |
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n))) x)) |
(+ (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))) |
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x)) x)) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n) |
(/ (- (+ (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) |
(-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))) |
(/ (- (+ (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) |
(/.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log1p.f64 x))) (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 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)))) |
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64))) |
(+ 1 (/ (log x) n)) |
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)) |
(* -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)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(* -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)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 59 | 34 |
| 2 | 373 | 34 |
| 3 | 3875 | 34 |
| 0 | 8189 | 30 |
| 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)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
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(fabs.f64 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
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(exp.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
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(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log1p.f64 x))) |
(exp.f64 (*.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log1p.f64 x)) (pow.f64 n #s(literal -1/2 binary64)))) |
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(exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log1p.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
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(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
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(/.f64 (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))) (exp.f64 (log.f64 (-.f64 x #s(literal 1 binary64))))) |
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 x #s(literal 1 binary64)))))) |
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(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64)) |
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(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 x)) |
(+.f64 (cosh.f64 (log1p.f64 x)) (sinh.f64 (log1p.f64 x))) |
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(+.f64 #s(literal 1 binary64) x) |
(+.f64 x #s(literal 1 binary64)) |
(exp.f64 (log1p.f64 x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 x #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
(exp.f64 (log.f64 x)) |
x |
#s(literal 1 binary64) |
(*.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 n #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
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(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 n)) |
(pow.f64 (neg.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 n #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 n)) |
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(/.f64 #s(literal 1 binary64) n) |
(neg.f64 (/.f64 #s(literal -1 binary64) n)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 n))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) |
(neg.f64 (neg.f64 n)) |
n |
(*.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(*.f64 (pow.f64 x (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 x (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
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(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
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(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) |
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(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64))) |
(pow.f64 (pow.f64 x (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x)) |
(pow.f64 (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 x (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n)))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n)))) |
(fabs.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(fabs.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
Compiled 9 749 to 1 377 computations (85.9% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 372 | 10 | 382 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 372 | 11 | 383 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 58.4% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 15.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 21.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 27.9% | (-.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))) | |
| ▶ | 35.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 30.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)) | |
| ▶ | 31.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
| 38.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| ▶ | 59.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 54.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
Compiled 691 to 416 computations (39.8% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(-.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)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.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 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal -1/3 binary64) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(log x) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* 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)) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(- (+ (* 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))) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2))) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x) |
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x)) |
(/ (log x) n) |
(/ (exp (/ (log x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
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(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n)) |
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 40.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) x (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (+ -1/2 (/ 1/2 n)) n) (+ -1/2 (/ 1/2 n)) -1/2 (/ 1/2 n) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/ 1/6 (pow n 3)) 1/6 (pow n 3) 3 (/ (+ -1/3 (/ 1/2 n)) n) (+ -1/3 (/ 1/2 n)) -1/3 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n)) (/ (log x) n) (/ (exp (/ (log x) n)) n)) |
| 32.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) x (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (+ -1/2 (/ 1/2 n)) n) (+ -1/2 (/ 1/2 n)) -1/2 (/ 1/2 n) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/ 1/6 (pow n 3)) 1/6 (pow n 3) 3 (/ (+ -1/3 (/ 1/2 n)) n) (+ -1/3 (/ 1/2 n)) -1/3 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n)) (/ (log x) n) (/ (exp (/ (log x) n)) n)) |
| 21.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) x (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (+ -1/2 (/ 1/2 n)) n) (+ -1/2 (/ 1/2 n)) -1/2 (/ 1/2 n) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/ 1/6 (pow n 3)) 1/6 (pow n 3) 3 (/ (+ -1/3 (/ 1/2 n)) n) (+ -1/3 (/ 1/2 n)) -1/3 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n)) (/ (log x) n) (/ (exp (/ (log x) n)) n)) |
| 13.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) x (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (+ -1/2 (/ 1/2 n)) n) (+ -1/2 (/ 1/2 n)) -1/2 (/ 1/2 n) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/ 1/6 (pow n 3)) 1/6 (pow n 3) 3 (/ (+ -1/3 (/ 1/2 n)) n) (+ -1/3 (/ 1/2 n)) -1/3 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n)) (/ (log x) n) (/ (exp (/ (log x) n)) n)) |
| 12.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) x (log x) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) 1 (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (+ -1/2 (/ 1/2 n)) n) (+ -1/2 (/ 1/2 n)) -1/2 (/ 1/2 n) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) x) (/ 1 n)) (+ (* (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) x) (/ (+ -1/2 (/ 1/2 n)) n)) (- (/ 1/6 (pow n 3)) (/ (+ -1/3 (/ 1/2 n)) n)) (/ 1/6 (pow n 3)) 1/6 (pow n 3) 3 (/ (+ -1/3 (/ 1/2 n)) n) (+ -1/3 (/ 1/2 n)) -1/3 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n)) (/ (log x) n) (/ (exp (/ (log x) n)) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 879 | 4797 |
| 1 | 2903 | 4563 |
| 0 | 8558 | 4303 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(log x) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* 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)) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(- (+ (* 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))) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2))) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x) |
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x)) |
(/ (log x) n) |
(/ (exp (/ (log x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n)))) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(* -1 (/ (log (/ 1 x)) n)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x))))) |
(* -1 (* (pow x 3) (+ (* -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))))) |
(* -1 (* (pow x 3) (+ (* -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 (* n x))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -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 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x))))) |
(* (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))))) |
(* -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))))) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))) x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(+ (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
n |
(exp (/ (log (+ 1 x)) n)) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(/ 1/2 n) |
(/ (+ 1/2 (* -1/2 n)) n) |
(* 1/6 (/ (pow x 3) (pow n 3))) |
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 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)) |
(/ (+ (* 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)) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(* 1/6 (/ x (pow n 3))) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3)) |
(/ 1/6 (pow n 3)) |
(/ (+ 1/6 (* -1/2 n)) (pow n 3)) |
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)) |
(pow n 3) |
(/ (+ 1/2 (* -1/3 n)) (pow n 2)) |
(/ (+ 1/2 (* -1/3 n)) n) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2)))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2)) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) x))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) x)) (* n (+ (exp (/ (log x) n)) (* -1/2 (/ (exp (/ (log x) n)) x))))) (pow n 2)) |
(/ 1/2 (* (pow n 2) x)) |
(/ (+ (* -1/2 (/ n x)) (* 1/2 (/ 1 x))) (pow n 2)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ 1 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(/ -1/2 n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
-1/2 |
(- (* 1/2 (/ 1 n)) 1/2) |
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
(+ 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))))) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(/ (- (* 1/3 x) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n) |
(/ 1/3 n) |
(/ (- 1/3 (* 1/2 (/ 1 n))) n) |
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n) |
(/ -1/3 n) |
(/ (- (* 1/2 (/ 1 n)) 1/3) n) |
-1/3 |
(- (* 1/2 (/ 1 n)) 1/3) |
(/ (- 1 (* 1/2 (/ 1 x))) (* n x)) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n) |
(/ (- 1 (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n))))))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n)))))))))) (* 1/2 (/ 1 x))) n) |
(/ -1/2 (* n x)) |
(/ (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n) |
(/ (+ 1 (/ (log x) n)) n) |
(/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(+ 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))) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (+ 1/2 (* -1/3 x)) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n)) |
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) |
(* -1 (/ (- 1/3 (* 1/2 (/ 1 n))) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n)) |
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n)) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) 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))) |
(- (+ 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))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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))) |
(* -1 (/ (log x) n)) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) x) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (log.f64 x) (neg.f64 n))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(- x (log x)) |
(-.f64 x (log.f64 x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(-.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) (log.f64 x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(-.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) (log.f64 x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(log x) |
(log.f64 x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 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)) |
(+ 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)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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 (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 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)) |
(+ (* 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)) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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)) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(- (+ (* 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))) |
(-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2)) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) n) (*.f64 x x)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) n) x) |
(/ (- (* 1/2 (/ 1 n)) 1/2) (* n x)) |
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) |
(/ (log x) n) |
(/.f64 (log.f64 x) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (exp.f64 (/.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 (/.f64 (log.f64 x) n)) n)) x) |
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(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x))) x) n) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x)) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) x) n) #s(literal -1 binary64) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x))) x)) n) #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x)) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) (neg.f64 n)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x))) n)) (neg.f64 n)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) n) #s(literal -1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x)))) n)) (neg.f64 n)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n)) |
(/.f64 (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) (neg.f64 n)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n)) |
(/.f64 (-.f64 (/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64))) n)) (neg.f64 n)) #s(literal 1 binary64)) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 474 |
| 0 | 82 | 474 |
| 1 | 352 | 470 |
| 2 | 2770 | 470 |
| 0 | 9957 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(-.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)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.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 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) 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)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) |
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
#s(literal -1/3 binary64) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x))) (log.f64 (neg.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(log1p.f64 x) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
(exp.f64 (log.f64 x)) |
x |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
(+.f64 (cosh.f64 (log.f64 n)) (sinh.f64 (log.f64 n))) |
(exp.f64 (log.f64 n)) |
n |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) |
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(fma.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) (/.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) #s(literal 2 binary64)) (-.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)))) |
(-.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))) |
(-.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (-.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))) (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (-.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))) (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (*.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) n))) (*.f64 x x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 n x) (*.f64 (*.f64 n x) #s(literal -1/2 binary64))) (*.f64 (*.f64 n x) (*.f64 n x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 n x) (*.f64 (*.f64 n x) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (*.f64 n x) (*.f64 n x))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n x))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) #s(literal 1/4 binary64)) (*.f64 n x))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (neg.f64 (*.f64 n x))) |
(/.f64 (neg.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) x)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (neg.f64 n)) (neg.f64 x)) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (neg.f64 (neg.f64 x))) |
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) (*.f64 n x)) |
(neg.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) n) (neg.f64 x))) |
(+.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) x)) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 n x)) (/.f64 #s(literal -1/2 binary64) (*.f64 n x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n x)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 n x))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (log.f64 x) n))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (log.f64 x) n))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (log.f64 x) n))))) #s(literal 4 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) (neg.f64 n)))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) (neg.f64 n)))) |
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) n (*.f64 n (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 n n)) |
(/.f64 (neg.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (neg.f64 n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(neg.f64 (/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) n)) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (neg.f64 n))) |
(+.f64 (/.f64 (cosh.f64 (/.f64 (log.f64 x) n)) n) (/.f64 (sinh.f64 (/.f64 (log.f64 x) n)) n)) |
Compiled 65 082 to 6 094 computations (90.6% saved)
31 alts after pruning (30 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 226 | 26 | 1 252 |
| Fresh | 1 | 4 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 232 | 31 | 1 263 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 9.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 17.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 24.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 24.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 29.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 27.9% | (-.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))) | |
| ✓ | 35.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 30.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)) | |
| 59.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) | |
| 59.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) | |
| 45.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 32.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) | |
| ▶ | 59.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 54.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| ▶ | 26.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 32.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| 32.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| ▶ | 34.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
| 55.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| ▶ | 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 28.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 32.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)))) |
Compiled 2 289 to 1 377 computations (39.8% saved)
| Inputs |
|---|
#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) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(log.f64 x) |
(*.f64 n x) |
(/.f64 (log.f64 x) n) |
(/.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (+ 1 x) x) |
1 |
(+ 1 x) |
x |
(/ 1 (* n x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/4 (pow x 4)) |
(/ (- (* 1/3 x) 1/4) (pow x 4)) |
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4)) |
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -1/3 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3)) |
(/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 3)) |
(/ -1/4 (pow x 2)) |
(/ (- (* 1/3 x) 1/4) (pow x 2)) |
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2)) |
(/ 1/4 x) |
(/ (+ 1/4 (* -1/3 x)) x) |
(* -1 x) |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)))) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n) |
(* x (- (* 1/2 (/ 1 n)) 1/2)) |
(exp (/ (log x) n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2))) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) 1/2) (* n x)) |
(/ (- (+ (* -1/2 (/ (log x) (pow n 2))) (+ (* x (+ (/ 1 n) (/ (log x) (pow n 2)))) (/ 1/2 (pow n 2)))) (* 1/2 (/ 1 n))) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) 1/2) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) 1/2) x) |
(/ (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) x) |
(/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) x) |
(/ (+ x (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n)))) x) |
(/ (+ 1/2 (* -1/2 (log x))) (* n x)) |
(+ 1/2 (* -1/2 (log x))) |
(log x) |
(* n x) |
(/ (log x) n) |
(/ 1/2 x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(+ 1 (/ 1 x)) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (* 1/2 (/ 1 x)) 1) |
(- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) |
(- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) |
(/ (- 1/2 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 1/3 (/ 1 x))) x) |
-1/2 |
(- (* 1/3 (/ 1 x)) 1/2) |
(- (* 1/3 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 2)))) |
(/ 1/3 x) |
(/ (- 1/3 (* 1/4 (/ 1 x))) x) |
-1/3 |
(- (* 1/4 (/ 1 x)) 1/3) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n)))) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) n) |
(- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 n)))) (/ 1/2 (* n x))) |
(+ 1 (* -1 (/ (log (/ 1 x)) n))) |
(- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x))))) (* 1/2 (/ 1 x))) |
(+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x))))) |
(+ 1 (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x)))) |
(/ (+ 1/2 (* 1/2 (log (/ 1 x)))) (* n x)) |
(+ 1/2 (* 1/2 (log (/ 1 x)))) |
(* -1 (log (/ 1 x))) |
(* -1 (/ (log (/ 1 x)) n)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) |
(- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) |
(* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x))))) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))) x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(+ (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n) |
(+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (* 1/2 (/ 1 n))) x)) (+ (/ 1 n) (/ (log -1) (pow n 2))))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) n))) x)) (/ (log -1) n)))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (+ (* 1/2 (/ 1 (* n x))) (/ (log -1) n))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (* 1/2 (/ 1 (* n x))))) |
(/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (* n x)) |
(+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (log (/ (+ 1 x) x)) n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2)) |
(* 1/2 (/ x n)) |
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n) |
(/ 1/2 n) |
(/ (+ 1/2 (* -1/2 n)) n) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2)))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2)) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) x))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) x)) (* n (+ (exp (/ (log x) n)) (* -1/2 (/ (exp (/ (log x) n)) x))))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (+ (* 1/2 (/ 1 x)) (* n (- 1 (* 1/2 (/ 1 x))))))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (+ (* 1/2 (/ 1 x)) (* n (- 1 (* 1/2 (/ 1 x))))))) n) |
(/ (+ n (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n) |
(/ (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) n) |
(/ (+ n (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ 1 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(* -1/2 (/ x n)) |
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n) |
(* -1/2 x) |
(+ (* -1/2 x) (* 1/2 (/ x n))) |
(- (* 1/2 (/ 1 n)) 1/2) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (- 1 (* 1/2 (/ 1 x))) (* n x)) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n) |
(/ (- 1 (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n))))))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n)))))))))) (* 1/2 (/ 1 x))) n) |
(- 1 (* 1/2 (/ 1 x))) |
(- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (/ 1/2 (* n x)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (+ (* -1 (- 1 (* 1/2 (/ 1 x)))) (+ (* -1 (/ (log x) n)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (* n x))))) n)) |
(- (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) (* 1/2 (/ 1 x))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 (* n x))))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (/ (- (/ 1/4 x) 1/3) (neg x)) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 (neg x) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (* (- (/ 1/2 n) 1/2) x) n) (* (- (/ 1/2 n) 1/2) x) (- (/ 1/2 n) 1/2) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (+ (* -1/2 (log x)) 1/2) (* n x)) (+ (* -1/2 (log x)) 1/2) -1/2 (log x) (* n x) (/ (log x) n) (/ 1/2 x)) |
| 30.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (/ (- (/ 1/4 x) 1/3) (neg x)) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 (neg x) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (* (- (/ 1/2 n) 1/2) x) n) (* (- (/ 1/2 n) 1/2) x) (- (/ 1/2 n) 1/2) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (+ (* -1/2 (log x)) 1/2) (* n x)) (+ (* -1/2 (log x)) 1/2) -1/2 (log x) (* n x) (/ (log x) n) (/ 1/2 x)) |
| 29.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (/ (- (/ 1/4 x) 1/3) (neg x)) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 (neg x) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (* (- (/ 1/2 n) 1/2) x) n) (* (- (/ 1/2 n) 1/2) x) (- (/ 1/2 n) 1/2) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (+ (* -1/2 (log x)) 1/2) (* n x)) (+ (* -1/2 (log x)) 1/2) -1/2 (log x) (* n x) (/ (log x) n) (/ 1/2 x)) |
| 16.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (/ (- (/ 1/4 x) 1/3) (neg x)) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 (neg x) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (* (- (/ 1/2 n) 1/2) x) n) (* (- (/ 1/2 n) 1/2) x) (- (/ 1/2 n) 1/2) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (+ (* -1/2 (log x)) 1/2) (* n x)) (+ (* -1/2 (log x)) 1/2) -1/2 (log x) (* n x) (/ (log x) n) (/ 1/2 x)) |
| 16.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (+ 1 x) 1 x n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (/ (- (/ 1/4 x) 1/3) (neg x)) (- (/ 1/4 x) 1/3) (/ 1/4 x) 1/4 1/3 (neg x) 1/2 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) x) 1) (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/ (* (- (/ 1/2 n) 1/2) x) n) (* (- (/ 1/2 n) 1/2) x) (- (/ 1/2 n) 1/2) (/ 1/2 n) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (+ (* -1/2 (log x)) 1/2) (* n x)) (+ (* -1/2 (log x)) 1/2) -1/2 (log x) (* n x) (/ (log x) n) (/ 1/2 x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 797 | 4345 |
| 1 | 2589 | 4026 |
| 0 | 8456 | 3800 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (+ 1 x) x) |
1 |
(+ 1 x) |
x |
(/ 1 (* n x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/4 (pow x 4)) |
(/ (- (* 1/3 x) 1/4) (pow x 4)) |
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 4)) |
(/ (- (* x (+ 1/3 (* x (- x 1/2)))) 1/4) (pow x 4)) |
(/ 1/4 (pow x 3)) |
(/ (+ 1/4 (* -1/3 x)) (pow x 3)) |
(/ (+ 1/4 (* x (- (* 1/2 x) 1/3))) (pow x 3)) |
(/ (+ 1/4 (* x (- (* x (+ 1/2 (* -1 x))) 1/3))) (pow x 3)) |
(/ -1/4 (pow x 2)) |
(/ (- (* 1/3 x) 1/4) (pow x 2)) |
(/ (- (* x (+ 1/3 (* -1/2 x))) 1/4) (pow x 2)) |
(/ 1/4 x) |
(/ (+ 1/4 (* -1/3 x)) x) |
(* -1 x) |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)))) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n) |
(* x (- (* 1/2 (/ 1 n)) 1/2)) |
(exp (/ (log x) n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n (pow x 2))) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)) |
(/ (+ (/ (* x (exp (/ (log x) n))) n) (/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 n)) 1/2)) n)) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) 1/2) (* n x)) |
(/ (- (+ (* -1/2 (/ (log x) (pow n 2))) (+ (* x (+ (/ 1 n) (/ (log x) (pow n 2)))) (/ 1/2 (pow n 2)))) (* 1/2 (/ 1 n))) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) 1/2) x) |
(/ (- (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) 1/2) x) |
(/ (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n))) x) |
(/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ 1 n)) (* x (+ 1 (/ (log x) n))))) x) |
(/ (+ x (+ (* -1/2 (/ (log x) n)) (* 1/2 (/ 1 n)))) x) |
(/ (+ 1/2 (* -1/2 (log x))) (* n x)) |
(+ 1/2 (* -1/2 (log x))) |
(log x) |
(* n x) |
(/ (log x) n) |
(/ 1/2 x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(+ 1 (/ 1 x)) |
(* x (+ 1 (/ 1 x))) |
-1 |
(- (* 1/2 (/ 1 x)) 1) |
(- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) |
(- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) |
(/ (- 1/2 (* 1/3 (/ 1 x))) x) |
(/ (- (+ 1/2 (/ 1/4 (pow x 2))) (* 1/3 (/ 1 x))) x) |
-1/2 |
(- (* 1/3 (/ 1 x)) 1/2) |
(- (* 1/3 (/ 1 x)) (+ 1/2 (/ 1/4 (pow x 2)))) |
(/ 1/3 x) |
(/ (- 1/3 (* 1/4 (/ 1 x))) x) |
-1/3 |
(- (* 1/4 (/ 1 x)) 1/3) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n)))) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) n) |
(- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 n)))) (/ 1/2 (* n x))) |
(+ 1 (* -1 (/ (log (/ 1 x)) n))) |
(- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x))))) (* 1/2 (/ 1 x))) |
(+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x))))) |
(+ 1 (+ (* 1/2 (/ (log (/ 1 x)) (* n x))) (/ 1/2 (* n x)))) |
(/ (+ 1/2 (* 1/2 (log (/ 1 x)))) (* n x)) |
(+ 1/2 (* 1/2 (log (/ 1 x)))) |
(* -1 (log (/ 1 x))) |
(* -1 (/ (log (/ 1 x)) n)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) |
(* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) |
(- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) |
(* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(* -1 (* x (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x))))) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x)))) x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(+ (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 n)) 1/2)) (* n x))) |
(/ (+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) n) |
(+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ (* -1 (/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (* 1/2 (/ 1 n))) x)) (+ (/ 1 n) (/ (log -1) (pow n 2))))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1/2 (* -1 (/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) n))) x)) (/ (log -1) n)))) |
(+ 1 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (+ (* 1/2 (/ 1 (* n x))) (/ (log -1) n))))) |
(+ 1 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n x))) (* 1/2 (/ 1 (* n x))))) |
(/ (+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (* n x)) |
(+ 1/2 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (log (/ (+ 1 x) x)) n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2)) |
(* 1/2 (/ x n)) |
(/ (+ (* -1/2 (* n x)) (* 1/2 x)) n) |
(/ 1/2 n) |
(/ (+ 1/2 (* -1/2 n)) n) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) (pow x 2)))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (* -1/2 (/ (exp (/ (log x) n)) (pow x 2))) (/ (exp (/ (log x) n)) x)))) (pow n 2)) |
(* 1/2 (/ (exp (/ (log x) n)) (* (pow n 2) x))) |
(/ (+ (* 1/2 (/ (exp (/ (log x) n)) x)) (* n (+ (exp (/ (log x) n)) (* -1/2 (/ (exp (/ (log x) n)) x))))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (+ (* 1/2 (/ 1 x)) (* n (- 1 (* 1/2 (/ 1 x))))))) (pow n 2)) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n) |
(/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (+ (* 1/2 (/ 1 x)) (* n (- 1 (* 1/2 (/ 1 x))))))) n) |
(/ (+ n (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n) |
(/ (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) n) |
(/ (+ n (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ 1 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(* -1/2 (/ x n)) |
(/ (+ (* -1/2 x) (* 1/2 (/ x n))) n) |
(* -1/2 x) |
(+ (* -1/2 x) (* 1/2 (/ x n))) |
(- (* 1/2 (/ 1 n)) 1/2) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (- 1 (* 1/2 (/ 1 x))) (* n x)) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x)))))))) (/ 1/2 (pow x 2))) n) |
(/ (- (+ (* -1/2 (/ (log x) (* n (pow x 2)))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) (pow x 2)))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) (pow x 2)))) (+ (* 1/2 (/ (log x) (* (pow n 2) (pow x 2)))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1/2 (* n (pow x 2))) (+ (/ 1 x) (/ (log x) (* n x))))))))))) (/ 1/2 (pow x 2))) n) |
(/ (- 1 (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n))))))) (* 1/2 (/ 1 x))) n) |
(/ (- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (* -1/4 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* -1/12 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/4 (/ (pow (log x) 2) (* (pow n 3) x))) (+ (* 1/2 (/ (log x) (* (pow n 2) x))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (+ (/ 1/2 (* n x)) (/ (log x) n)))))))))) (* 1/2 (/ 1 x))) n) |
(- 1 (* 1/2 (/ 1 x))) |
(- (+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) (* 1/2 (/ 1 x))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (+ (/ 1/2 (* n x)) (/ (log x) n)))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (/ 1/2 (* n x)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x)) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x))) x)) (* 1/6 (/ (pow (log x) 3) x))) n)) (+ (* -1 (/ (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x))) x)) (* -1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1 (/ (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))) x)) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (+ (* -1 (- 1 (* 1/2 (/ 1 x)))) (+ (* -1 (/ (log x) n)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (* n x))))) n)) |
(- (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) (* 1/2 (/ 1 x))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 (* n x))))) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) 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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ 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))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(* -1 (/ (log x) n)) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ x (* -1 (log x))) |
(-.f64 x (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(/ 1 (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(- x (log x)) |
(-.f64 x (log.f64 x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
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(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64)) x) (log.f64 x)) n) (/.f64 #s(literal -1/2 binary64) x)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (* -1/2 (pow (log x) 2))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x))) n)) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (- (* 1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/2 (/ (log x) x)))) (+ (* -1 (/ (+ (* -1 (+ (* -1/4 (/ (pow (log x) 2) x)) (* 1/12 (/ (pow (log x) 3) x)))) (* 1/6 (pow (log x) 3))) n)) (* -1/2 (pow (log x) 2)))) n)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) x))) n) #s(literal -1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) x)))) n)) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64))) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (- 1 (* 1/2 (/ 1 x)))) (+ (* -1 (/ (log x) n)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) (* n x))))) n)) |
(/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) x))) (neg.f64 n)) |
(- (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) (* 1/2 (/ 1 x))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64)) x) (log.f64 x)) n)) (/.f64 #s(literal 1/2 binary64) x)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ 1/2 (* -1/2 (log x))) x))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64)) x) (log.f64 x)) n)) |
(+ 1 (+ (* -1/2 (/ (log x) (* n x))) (* 1/2 (/ 1 (* n x))))) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) x) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 676 |
| 0 | 108 | 671 |
| 1 | 422 | 663 |
| 2 | 3368 | 651 |
| 0 | 9511 | 628 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) |
(-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) |
(/.f64 #s(literal 1/4 binary64) x) |
#s(literal 1/4 binary64) |
#s(literal 1/3 binary64) |
(neg.f64 x) |
#s(literal 1/2 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n) |
(*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) |
(-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1/2 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) |
(-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
(log.f64 x) |
(*.f64 n x) |
(/.f64 (log.f64 x) n) |
(/.f64 #s(literal 1/2 binary64) x) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x))))) (neg.f64 (*.f64 n (neg.f64 n)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))) (neg.f64 (*.f64 n n))) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) |
(/.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) (neg.f64 n)) |
(/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) n)) |
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 n))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(log1p.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (log.f64 x)) |
(-.f64 (log.f64 (+.f64 x (*.f64 x x))) (log.f64 (*.f64 x x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x))) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (log.f64 (neg.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x)))) (neg.f64 x)) |
(/.f64 (neg.f64 (+.f64 x (*.f64 x x))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) x) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x))) |
(/.f64 (+.f64 x (*.f64 x x)) (*.f64 x x)) |
(/.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 x #s(literal 1 binary64)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) x)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (*.f64 (neg.f64 n) x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 n) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 n x)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (log.f64 x) (*.f64 n x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n))) x) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 n) x)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 n x) (*.f64 (*.f64 n x) #s(literal 1/2 binary64)))) (neg.f64 (pow.f64 (*.f64 n x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) x) n) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) x) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (*.f64 (neg.f64 n) x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 n x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 n x))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 (log.f64 x) (*.f64 n x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (neg.f64 n) x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 n x)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))) (*.f64 n x)))) |
(/.f64 (fma.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (*.f64 n x) (*.f64 (*.f64 n x) #s(literal 1/2 binary64))) (pow.f64 (*.f64 n x) #s(literal 2 binary64))) |
(/.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n) x) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (*.f64 n x))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))) (*.f64 n x))) |
(/.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 (neg.f64 n) x)) |
(/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 n x)) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))) (*.f64 n x))) |
(neg.f64 (/.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (*.f64 (neg.f64 n) x))) |
(fma.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (log.f64 x) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 1 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) n) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 (/.f64 (log.f64 x) n) (/.f64 #s(literal -1/2 binary64) x) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) (*.f64 n x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (log.f64 x) (*.f64 n x)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) |
(+.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n))) |
(+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) x) n) (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n))) |
(+.f64 (*.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) x) n)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (neg.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))) |
(fma.f64 (log.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal -1/4 binary64)))))) |
(+.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
(*.f64 n x) |
(*.f64 x n) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log.f64 x)))) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 x)) |
(/.f64 #s(literal 1/2 binary64) x) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) x)) |
Compiled 48 676 to 5 195 computations (89.3% saved)
37 alts after pruning (34 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 863 | 13 | 876 |
| Fresh | 4 | 21 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 870 | 37 | 907 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 9.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 17.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 24.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 29.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 27.9% | (-.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))) |
| ✓ | 35.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 59.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) | |
| ▶ | 59.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
| 45.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 32.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) | |
| ✓ | 59.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 54.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 26.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 30.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 8.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) | |
| 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 32.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| 32.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| 23.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n)) | |
| 37.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) | |
| 24.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) | |
| 25.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) | |
| ✓ | 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| ▶ | 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
| ▶ | 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| 28.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 32.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) x) n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n)))) | |
| 32.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) | |
| 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
Compiled 2 730 to 1 659 computations (39.2% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(log1p.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) |
(+.f64 (log.f64 x) (log1p.f64 x)) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
#s(literal 1 binary64) |
(*.f64 n x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x x) n) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) x) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 (neg.f64 n) n) |
(neg.f64 n) |
(*.f64 n #s(literal -1/2 binary64)) |
(*.f64 n (*.f64 (neg.f64 n) n)) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 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))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1)))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(pow (log x) 2) |
(log x) |
(* n (log x)) |
(+ (* n x) (* n (log x))) |
(+ (* n (log x)) (* x (+ n (* -1/2 (* n x))))) |
(+ (* n (log x)) (* x (+ n (* x (+ (* -1/2 n) (* 1/3 (* n x))))))) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* -1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 (* n x)) |
(* n x) |
(/ 1/3 (* n (pow x 3))) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3)) |
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3)) |
(/ 1/3 (* n (pow x 2))) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2)) |
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2)) |
(/ (+ (* 1/3 (/ 1 n)) (/ (pow x 2) n)) (pow x 2)) |
(* n (pow x 2)) |
(/ 1/2 (* n x)) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 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)))) |
(/ x n) |
(exp (/ (log x) n)) |
(+ 1 (* x (+ (* -1 (/ (* x (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) (/ 1 n)))) |
(/ 1 n) |
(+ (* -1 (/ (* x (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) (/ 1 n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (/ (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) |
(/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n))) x) |
(/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))) x) |
(/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (* (pow x 3) (log (/ 1 x)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/6 (* n (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (log (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (log (/ 1 x)))) (* 1/4 (/ 1 (* n (log (/ 1 x))))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 3) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))))) x) |
(* -2 (/ (log (/ 1 x)) x)) |
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x) |
(pow (log (/ 1 x)) 2) |
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2)) |
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* -2 (* n (log (/ 1 x)))) |
(+ (* -2 (* n (log (/ 1 x)))) (/ n x)) |
(+ (* -2 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (/ n x))) |
(+ (* -2 (* n (log (/ 1 x)))) (+ (* -1/2 (/ n (pow x 2))) (+ (* 1/3 (/ n (pow x 3))) (/ n x)))) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(- (/ 1 n) (* 1/2 (/ 1 (* n x)))) |
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) |
(+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (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))) (+ (/ (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))))) |
(* x (+ (/ 1 n) (/ 1 x))) |
(* -1 (/ (* (pow x 2) (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 n) (* 1/2 (pow n 2))) (pow n 3))) (/ 1 (* n x)))) |
(* (pow x 2) (+ (* -1 (/ (+ (* -1/2 n) (* 1/2 (pow n 2))) (pow n 3))) (+ (/ 1 (* n x)) (/ 1 (pow x 2))))) |
(* -1 (/ (* x (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) |
(* x (+ (* -1 (/ (+ (* -1/2 n) (* 1/2 (pow n 2))) (pow n 3))) (/ 1 (* n x)))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (* x (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) x))) x)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (+ (* -1 (/ (log (/ -1 x)) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (/ (log -1) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))))) x)) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) x))) x)) |
(* -1 (/ (+ (* -2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 11/12 (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) (+ (* -1 (/ (- (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (+ (* -1 (/ (log (/ -1 x)) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (/ (log -1) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (+ (* -1/2 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))))) x)) (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) (+ (* -1 (/ (log (/ -1 x)) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))) (+ (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) (/ (log -1) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2)))))) x)) (/ 1 (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))))) (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (* n (pow (+ (* -2 (log (/ -1 x))) (* 2 (log -1))) 2))))) x))) x)) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))) |
(+ (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1)))) (/ n x)) |
(+ (* -1 (/ (+ (* -1 n) (* 1/2 (/ n x))) x)) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) |
(+ (* -1 (/ (+ (* -1 n) (* -1 (/ (+ (* -1/2 n) (* 1/3 (/ n x))) x))) x)) (* n (+ (* -2 (log (/ -1 x))) (* 2 (log -1))))) |
(+ (* -2 (log (/ -1 x))) (* 2 (log -1))) |
(+ (* -2 (log (/ -1 x))) (+ (* 2 (log -1)) (/ 1 x))) |
(+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) (* 2 (log -1)))) |
(+ (* -2 (log (/ -1 x))) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) (* 2 (log -1)))) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (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))) |
(+ (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))) |
(* -1 (* (pow x 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x)))) |
(* (pow x 2) (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (+ (/ 1 (* n x)) (/ 1 (pow x 2))))) |
(* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) |
(* -1 (* x (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (+ (log x) (log (+ 1 x))))) |
(* n (+ (log x) (log (+ 1 x)))) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x)) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n) |
(/ (+ 1 (* 1/3 (/ 1 (pow x 2)))) n) |
(/ 1/2 n) |
(exp (/ (log (+ 1 x)) n)) |
(/ (+ n x) n) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(* -1/2 n) |
(* n (- (* 1/2 n) 1/2)) |
(* -1 (pow n 2)) |
(* -1 n) |
(* -1 (pow n 3)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (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) |
(/ (- (+ (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) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 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)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ 1 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(/ -1/2 n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(* 1/2 (pow n 2)) |
(* (pow n 2) (- 1/2 (* 1/2 (/ 1 n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (log (+ 1 x)) x 2 (pow (log x) 2) (log x) (* (+ (log x) (log (+ 1 x))) n) (+ (log x) (log (+ 1 x))) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ 1/3 (* (* x x) n)) 1/3 (* (* x x) n) (* x x) (/ 1 n) (/ (/ 1/2 n) x) (/ 1/2 n) 1/2 (- (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))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) x) 1) (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) (+ (* -1/2 (* (neg n) n)) (* n -1/2)) -1/2 (* (neg n) n) (neg n) (* n -1/2) (* n (* (neg n) n))) |
| 24.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (log (+ 1 x)) x 2 (pow (log x) 2) (log x) (* (+ (log x) (log (+ 1 x))) n) (+ (log x) (log (+ 1 x))) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ 1/3 (* (* x x) n)) 1/3 (* (* x x) n) (* x x) (/ 1 n) (/ (/ 1/2 n) x) (/ 1/2 n) 1/2 (- (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))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) x) 1) (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) (+ (* -1/2 (* (neg n) n)) (* n -1/2)) -1/2 (* (neg n) n) (neg n) (* n -1/2) (* n (* (neg n) n))) |
| 21.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (log (+ 1 x)) x 2 (pow (log x) 2) (log x) (* (+ (log x) (log (+ 1 x))) n) (+ (log x) (log (+ 1 x))) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ 1/3 (* (* x x) n)) 1/3 (* (* x x) n) (* x x) (/ 1 n) (/ (/ 1/2 n) x) (/ 1/2 n) 1/2 (- (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))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) x) 1) (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) (+ (* -1/2 (* (neg n) n)) (* n -1/2)) -1/2 (* (neg n) n) (neg n) (* n -1/2) (* n (* (neg n) n))) |
| 20.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (log (+ 1 x)) x 2 (pow (log x) 2) (log x) (* (+ (log x) (log (+ 1 x))) n) (+ (log x) (log (+ 1 x))) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ 1/3 (* (* x x) n)) 1/3 (* (* x x) n) (* x x) (/ 1 n) (/ (/ 1/2 n) x) (/ 1/2 n) 1/2 (- (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))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) x) 1) (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) (+ (* -1/2 (* (neg n) n)) (* n -1/2)) -1/2 (* (neg n) n) (neg n) (* n -1/2) (* n (* (neg n) n))) |
| 14.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* (+ (log x) (log (+ 1 x))) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log (+ 1 x)) 2) (log (+ 1 x)) x 2 (pow (log x) 2) (log x) (* (+ (log x) (log (+ 1 x))) n) (+ (log x) (log (+ 1 x))) n (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ 1 (* n x)) 1 (* n x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ 1/3 (* (* x x) n)) 1/3 (* (* x x) n) (* x x) (/ 1 n) (/ (/ 1/2 n) x) (/ 1/2 n) 1/2 (- (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))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) x) 1) (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) (+ (* -1/2 (* (neg n) n)) (* n -1/2)) -1/2 (* (neg n) n) (neg n) (* n -1/2) (* n (* (neg n) n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 752 | 4729 |
| 1 | 2554 | 4112 |
| 0 | 8358 | 3911 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
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(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(* 1/2 (pow n 2)) |
(* (pow n 2) (- 1/2 (* 1/2 (/ 1 n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -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)) |
(* -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)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) 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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ 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))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(* -1 (/ (log x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) x) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)) |
(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (pow x 2) (pow (log x) 2)) |
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(-.f64 (*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 x))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x) x) |
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 11/12 binary64) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1)))) |
(*.f64 (*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -5/6 binary64) x #s(literal 11/12 binary64)) x) #s(literal 1 binary64)) x #s(literal 1 binary64)) x) x) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log x) |
(log.f64 x) |
(* n (log x)) |
(*.f64 (log.f64 x) n) |
(+ (* n x) (* n (log x))) |
(*.f64 n (+.f64 (log.f64 x) x)) |
(+ (* n (log x)) (* x (+ n (* -1/2 (* n x))))) |
(fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (*.f64 (log.f64 x) n)) |
(+ (* n (log x)) (* x (+ n (* x (+ (* -1/2 n) (* 1/3 (* n x))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 n x) #s(literal 1/3 binary64) (*.f64 #s(literal -1/2 binary64) n)) x n) x (*.f64 (log.f64 x) n)) |
(+ x (log x)) |
(+.f64 (log.f64 x) x) |
(+ (log x) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (log.f64 x)) |
(/ 1 (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(* n x) |
(*.f64 n x) |
(/ 1/3 (* n (pow x 3))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 3)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (pow.f64 x #s(literal 3 binary64))) |
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 3)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (pow.f64 x #s(literal 3 binary64))) |
(/ 1/3 (* n (pow x 2))) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n))) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x)) |
(/ (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n))) (pow x 2)) |
(/.f64 (fma.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x x)) |
(/ (+ (* 1/3 (/ 1 n)) (/ (pow x 2) n)) (pow x 2)) |
(/.f64 (/.f64 (fma.f64 x x #s(literal 1/3 binary64)) n) (*.f64 x x)) |
(* n (pow x 2)) |
(*.f64 (*.f64 n x) x) |
(/ 1/2 (* n x)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 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)) |
(+ 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)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.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)) |
(/ x n) |
(/.f64 x n) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(+ 1 (* x (+ (* -1 (/ (* x (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) (/ 1 n)))) |
(fma.f64 (fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 n (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* -1 (/ (* x (+ (* -1/2 n) (* 1/2 (pow n 2)))) (pow n 3))) (/ 1 n)) |
(fma.f64 (neg.f64 x) (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 n (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (exp.f64 (/.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 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (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) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/4 binary64) n))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x))) (fma.f64 (exp.f64 (/.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 (/.f64 (log.f64 x) n)) n))) x) |
(/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n))) x) |
(/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) x) |
(/ (- (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) x)) (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1 binary64)) n) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n))) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) (log.f64 x))) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) x)) #s(literal -1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) x) n)))) x) |
(/ (- (+ (* -1/2 (/ (+ 11/12 (* 1/2 (log (/ 1 x)))) (* n (* (pow x 3) (log (/ 1 x)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* x (log (/ 1 x)))))) (+ (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (* (pow x 2) (log (/ 1 x)))))) (+ (/ 1/6 (* n (* (pow x 3) (log (/ 1 x))))) (+ (/ 1/2 (* n (* x (log (/ 1 x))))) (/ 1 n)))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 2) (log (/ 1 x))))) (+ (* -1/2 (/ (- (* -1/2 (/ (- (* -2/3 (log (/ 1 x))) 1) (* n (log (/ 1 x))))) (+ (* -1/2 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (log (/ 1 x)))) (* 1/4 (/ 1 (* n (log (/ 1 x))))))) (* (pow x 3) (log (/ 1 x))))) (+ (* 1/4 (/ (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (log (/ 1 x))))) (* 1/2 (/ 1 (* n (log (/ 1 x)))))) (* (pow x 3) (log (/ 1 x))))) (* 1/4 (/ 1 (* n (* (pow x 2) (log (/ 1 x)))))))))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 11/12 binary64)) n) (+.f64 (fma.f64 (/.f64 (/.f64 (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1 binary64)) n) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) x)) #s(literal -1/2 binary64) (/.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x)) #s(literal 1/2 binary64)) (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)))) (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) (log.f64 x))) (*.f64 x x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 #s(literal 2/3 binary64) (log.f64 x)) #s(literal 1 binary64))) (*.f64 (neg.f64 n) (log.f64 x))) (fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) (log.f64 x))) (log.f64 x)) (/.f64 #s(literal 1/4 binary64) (*.f64 (neg.f64 n) (log.f64 x))))) (*.f64 #s(literal 1/4 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (neg.f64 n) (log.f64 x))))) (*.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (*.f64 (neg.f64 x) (log.f64 x)) x) n)))) x) |
(* -2 (/ (log (/ 1 x)) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) x) |
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x) |
(/.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x)) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 #s(literal 2 binary64) (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x) |
(/.f64 (-.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 11/12 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) x))))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2)) |
(fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2)))) |
(fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3))) |
(-.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 x #s(literal 3 binary64))) #s(literal -2/3 binary64) (fma.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 x x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) |
(* -1 (log (/ 1 x))) |
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(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n))) x)) |
(+ (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))) |
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))) x)) x)) |
(* -1 (* (pow x 2) (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) |
(*.f64 (*.f64 (neg.f64 x) x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) |
(* (pow x 2) (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x)))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) (*.f64 x x)) |
(* (pow x 2) (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (+ (/ 1 (* n x)) (/ 1 (pow x 2))))) |
(*.f64 (+.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 x x)) |
(* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) |
(* -1 (* x (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))))) |
(*.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (* n (+ (log x) (log (+ 1 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(* n (+ (log x) (log (+ 1 x)))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) (* n x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (* 1/2 (/ 1 x))) n) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) |
(/ (+ 1 (* 1/3 (/ 1 (pow x 2)))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n) |
(/ 1/2 n) |
(/.f64 #s(literal 1/2 binary64) n) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/ (+ n x) n) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(*.f64 (/.f64 (*.f64 x x) n) (/.f64 #s(literal 1/2 binary64) n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/.f64 (fma.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 n n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) (pow n 2)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 x x) #s(literal 1/2 binary64))) (*.f64 n n)) |
(* 1/2 (/ x (pow n 2))) |
(*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64)) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n (*.f64 #s(literal 1/2 binary64) x)) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) (*.f64 n n)) |
(* -1/2 n) |
(*.f64 #s(literal -1/2 binary64) n) |
(* n (- (* 1/2 n) 1/2)) |
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) |
(* -1 (pow n 2)) |
(*.f64 (neg.f64 n) n) |
(* -1 n) |
(neg.f64 n) |
(* -1 (pow n 3)) |
(pow.f64 (neg.f64 n) #s(literal 3 binary64)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) (log.f64 x)) n) |
(/ (- (+ (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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x))) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))) n) |
(/ (- (+ (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) |
(/.f64 (-.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 1/24 binary64) (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x))))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 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)))) |
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)))) |
(+ 1 (/ (log x) n)) |
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n)) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(fma.f64 (*.f64 (/.f64 x n) (/.f64 x n)) #s(literal 1/2 binary64) (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) |
(/ (+ 1 (* -1/2 x)) n) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 x (/.f64 x n)) #s(literal 1 binary64)) n) |
(/ -1/2 n) |
(/.f64 #s(literal -1/2 binary64) n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) |
(* 1/2 (pow n 2)) |
(*.f64 (*.f64 n n) #s(literal 1/2 binary64)) |
(* (pow n 2) (- 1/2 (* 1/2 (/ 1 n)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) (neg.f64 n)) |
(* -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)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n)) |
(* -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)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/24 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(/.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 n)) x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 n)) (log.f64 x)) n)) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) n)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x (*.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64))) n)) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 x n) x)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 477 |
| 0 | 91 | 457 |
| 1 | 356 | 441 |
| 2 | 2866 | 421 |
| 0 | 8447 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(log1p.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) |
(+.f64 (log.f64 x) (log1p.f64 x)) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
#s(literal 1 binary64) |
(*.f64 n x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x) |
(-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) |
(+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) |
#s(literal 1/3 binary64) |
(*.f64 (*.f64 x x) n) |
(*.f64 x x) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) x) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
(-.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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 (neg.f64 n) n) |
(neg.f64 n) |
(*.f64 n #s(literal -1/2 binary64)) |
(*.f64 n (*.f64 (neg.f64 n) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 (log1p.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (log1p.f64 x) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x)))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))) (*.f64 (neg.f64 n) n)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 x x x) n))) (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (log.f64 (pow.f64 (fma.f64 x x x) n)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64))) (fma.f64 (/.f64 (log1p.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (log1p.f64 x) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (fma.f64 x x x) n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (log.f64 (pow.f64 (fma.f64 x x x) n))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (pow.f64 (fma.f64 x x x) n))) (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) n)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (pow.f64 (log.f64 (pow.f64 (fma.f64 x x x) n)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (fma.f64 x x x) n)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))) (log.f64 (pow.f64 (fma.f64 x x x) n)))) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (pow.f64 (fma.f64 x x x) n))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (log.f64 (pow.f64 (fma.f64 x x x) n)))) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 n) (+.f64 (log.f64 x) (log1p.f64 x))))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x))) |
(*.f64 (log1p.f64 x) (log1p.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 x))) |
(pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(log.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (neg.f64 (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (log1p.f64 x))) (fabs.f64 (sqrt.f64 (log1p.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log1p.f64 x) #s(literal 1 binary64)) |
(log1p.f64 x) |
(sqrt.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(-.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (log.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(fabs.f64 (-.f64 (log.f64 (-.f64 #s(literal 1 binary64) x)) (log1p.f64 (*.f64 (neg.f64 x) x)))) |
(fabs.f64 (-.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))))) |
(fabs.f64 (-.f64 (log1p.f64 (-.f64 (*.f64 x x) x)) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) |
(fabs.f64 (-.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (log1p.f64 (pow.f64 x #s(literal 3 binary64))))) |
(fabs.f64 (neg.f64 (log1p.f64 x))) |
(fabs.f64 (log1p.f64 x)) |
(+.f64 (cosh.f64 (log.f64 (log1p.f64 x))) (sinh.f64 (log.f64 (log1p.f64 x)))) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x)))) |
(*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x))) |
(*.f64 (sqrt.f64 x) (sqrt.f64 x)) |
(*.f64 #s(literal 1 binary64) x) |
(*.f64 x #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (neg.f64 x) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(pow.f64 x #s(literal 1 binary64)) |
(sqrt.f64 (*.f64 x x)) |
(fabs.f64 (neg.f64 (neg.f64 x))) |
(fabs.f64 (neg.f64 x)) |
(fabs.f64 x) |
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x))) |
(exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64))) |
(exp.f64 (log.f64 x)) |
x |
#s(literal 2 binary64) |
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 x (log.f64 x))) |
(*.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 x)))) |
(*.f64 (fabs.f64 (sqrt.f64 (log.f64 x))) (fabs.f64 (sqrt.f64 (log.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x))) |
(pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (log.f64 x) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (fabs.f64 (sqrt.f64 (log.f64 x))) (fabs.f64 (sqrt.f64 (log.f64 x))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) #s(literal 0 binary64)) |
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (log.f64 x))) |
(fabs.f64 (log.f64 x)) |
(+.f64 (cosh.f64 (log.f64 (log.f64 x))) (sinh.f64 (log.f64 (log.f64 x)))) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(exp.f64 (log.f64 (log.f64 x))) |
(log.f64 x) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) |
(*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (neg.f64 (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 n (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 n (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (log.f64 x) n (*.f64 (log1p.f64 x) n)) |
(fma.f64 (log1p.f64 x) n (*.f64 (log.f64 x) n)) |
(fma.f64 n (log.f64 x) (*.f64 n (log1p.f64 x))) |
(fma.f64 n (log1p.f64 x) (*.f64 n (log.f64 x))) |
(+.f64 (*.f64 (log.f64 x) n) (*.f64 (log1p.f64 x) n)) |
(+.f64 (*.f64 n (log1p.f64 x)) (*.f64 n (log.f64 x))) |
(+.f64 (*.f64 n (log.f64 x)) (*.f64 n (log1p.f64 x))) |
(+.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) |
(log.f64 (pow.f64 (fma.f64 x x x) n)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log1p.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(fma.f64 (neg.f64 (sqrt.f64 (log1p.f64 x))) (neg.f64 (sqrt.f64 (log1p.f64 x))) (log.f64 x)) |
(fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (neg.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (fabs.f64 (sqrt.f64 (log.f64 x))) (fabs.f64 (sqrt.f64 (log.f64 x))) (log1p.f64 x)) |
(fma.f64 (fabs.f64 (sqrt.f64 (log1p.f64 x))) (fabs.f64 (sqrt.f64 (log1p.f64 x))) (log.f64 x)) |
(fma.f64 (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log1p.f64 x)) #s(literal 1 binary64)) (log.f64 x)) |
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (log1p.f64 x)) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log1p.f64 x)) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(-.f64 (log.f64 (*.f64 x (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(-.f64 (log.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log.f64 (*.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (log.f64 x) (log1p.f64 x)))) |
(+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log1p.f64 x) (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(+.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (fma.f64 x x x)) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64))) (fabs.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (*.f64 n x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 x) n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 n x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (*.f64 n x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) n) |
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 x) n)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) n)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 x) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n x))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) (sinh.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) |
#s(literal 1 binary64) |
(*.f64 n x) |
(*.f64 x n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n)))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) (*.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)))) (neg.f64 (*.f64 x x))) |
(/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n)) (neg.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (neg.f64 x)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x) #s(literal 2 binary64))) (+.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) n) x) (/.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) x))) |
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(fma.f64 (*.f64 (neg.f64 n) n) (/.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 (neg.f64 n) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 n n) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 (neg.f64 n) #s(literal 3 binary64))))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64)))) |
(fma.f64 n (/.f64 #s(literal -1/2 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -1/2 binary64) n) (pow.f64 n #s(literal 3 binary64)))) |
(+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 (neg.f64 n) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64)))) |
(+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 n n)) (pow.f64 n #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 n (pow.f64 (neg.f64 n) #s(literal 3 binary64))))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) (neg.f64 n))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (neg.f64 n) n n)) |
(*.f64 #s(literal -1/2 binary64) (+.f64 n (*.f64 (neg.f64 n) n))) |
(*.f64 n (fma.f64 (neg.f64 n) #s(literal -1/2 binary64) #s(literal -1/2 binary64))) |
(*.f64 n (+.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (pow.f64 (*.f64 (neg.f64 n) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) (*.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 (neg.f64 n) #s(literal -1/2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) n))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 (neg.f64 n) #s(literal 3 binary64)))) (fma.f64 (pow.f64 (*.f64 (neg.f64 n) n) #s(literal 2 binary64)) #s(literal 1/4 binary64) (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) (*.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 (neg.f64 n) #s(literal -1/2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)))) (neg.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) n)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64))) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) n))) |
(/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal 1/4 binary64) (*.f64 n n) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal -1/2 binary64)) n)))) |
(/.f64 (fma.f64 (pow.f64 n #s(literal 3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 n) #s(literal -1/2 binary64)) n (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (neg.f64 n) #s(literal -1/2 binary64)) n (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 n) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) n) (neg.f64 n) (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64) (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) n) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 #s(literal -1/2 binary64) n (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) |
(fma.f64 n (*.f64 (neg.f64 n) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(fma.f64 n (*.f64 (neg.f64 n) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) n)) |
(fma.f64 n #s(literal -1/2 binary64) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) n))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (-.f64 (*.f64 (neg.f64 n) n) n)))) |
(-.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 #s(literal 1/2 binary64) n)) |
(-.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 (neg.f64 n) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 n n) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (neg.f64 (*.f64 (neg.f64 n) #s(literal -1/2 binary64))) n)) |
(-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (neg.f64 (*.f64 (neg.f64 n) n)) #s(literal -1/2 binary64))) |
(-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 n) n))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) n) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/2 binary64) n) (-.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) (pow.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) n) n) #s(literal 2 binary64))))) |
(+.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 (neg.f64 (neg.f64 n)) #s(literal -1/2 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64)) (*.f64 #s(literal -1/2 binary64) n)) |
(+.f64 (*.f64 #s(literal -1/2 binary64) n) (*.f64 (*.f64 (neg.f64 n) n) #s(literal -1/2 binary64))) |
#s(literal -1/2 binary64) |
(*.f64 (neg.f64 n) n) |
(*.f64 n (neg.f64 n)) |
(neg.f64 (*.f64 n n)) |
(neg.f64 n) |
(*.f64 #s(literal -1/2 binary64) n) |
(*.f64 n #s(literal -1/2 binary64)) |
(*.f64 (*.f64 n n) (neg.f64 n)) |
(*.f64 (*.f64 (neg.f64 n) n) n) |
(*.f64 (neg.f64 n) (*.f64 n n)) |
(*.f64 n (*.f64 (neg.f64 n) n)) |
(pow.f64 (neg.f64 n) #s(literal 3 binary64)) |
(neg.f64 (pow.f64 n #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 n)) #s(literal 3 binary64))) |
Compiled 54 308 to 5 898 computations (89.1% saved)
45 alts after pruning (40 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 234 | 19 | 1 253 |
| Fresh | 8 | 21 | 29 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 245 | 45 | 1 290 |
| Status | Accuracy | Program |
|---|---|---|
| 58.4% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 24.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 24.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 29.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 27.9% | (-.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))) |
| ✓ | 35.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 59.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) | |
| 59.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log.f64 x) (log1p.f64 x)))) | |
| 59.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) | |
| 36.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) | |
| 45.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 32.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) | |
| ✓ | 59.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| 54.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 32.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) | |
| 26.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 8.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) | |
| 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| 32.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| 32.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| 23.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 binary64))))) n)) | |
| 37.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) | |
| 24.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) | |
| 24.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) | |
| ✓ | 36.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| 33.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 17.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 29.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) | |
| 32.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) | |
| 39.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) | |
| 43.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) | |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) | |
| 42.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) | |
| ✓ | 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| 42.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) | |
| 40.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) | |
| 28.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 32.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) | |
| 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
Compiled 4 635 to 1 605 computations (65.4% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) x) n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.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 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (+.f64 (log.f64 x) (log1p.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal -1/2 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) n (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) #s(literal 1/2 binary64))) (*.f64 n n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 16.0ms | n |
| 16.0ms | (/.f64 #s(literal 1 binary64) n) |
| 16.0ms | x |
| 13.0ms | (-.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 |
|---|---|---|
| 98.3% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 87.0% | 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))) |
| 74.3% | 3 | x |
| 98.3% | 3 | n |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) x) n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 (-.f64 (sqrt.f64 (/.f64 #s(literal 1/36 binary64) (pow.f64 n #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 14.0ms | n |
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 5 | n |
| 95.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (-.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) (*.f64 n x))) (/.f64 (log.f64 x) n)) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (-.f64 (fma.f64 (/.f64 (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) x) (log.f64 x)) x) n) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1 binary64) x)) (log.f64 x)) x) n) #s(literal -1 binary64) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (neg.f64 n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#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 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n 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))) |
| Outputs |
|---|
#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))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 12.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #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 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.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 (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (log.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
3 calls:
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| 11.0ms | n |
| 8.0ms | (-.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 |
|---|---|---|
| 82.9% | 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))) |
| 88.3% | 5 | n |
| 87.9% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 17 to 14 computations (17.6% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #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 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 11.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #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 (/ (log (/ (+ 1 x) x)) n) (fma.f64 (*.f64 x x) (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 x (log.f64 x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(approx (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (/.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) x) x) #s(literal 1/3 binary64)) x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 11.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.1% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.9% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x)) |
2 calls:
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| 9.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 4 | n |
| 86.4% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (* n (* (neg n) n))) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) (+.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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 #s(approx (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n)) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #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))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
1 calls:
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.3% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) 1) (neg x)) (/.f64 #s(literal -1/4 binary64) (pow.f64 x #s(literal 4 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)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
1 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
4 calls:
| 7.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | n |
| 7.0ms | x |
| 5.0ms | (-.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 |
|---|---|---|
| 61.1% | 2 | x |
| 50.8% | 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))) |
| 63.8% | 6 | n |
| 64.1% | 6 | (/.f64 #s(literal 1 binary64) n) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log 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)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 60.8% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 n x)) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 x)) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 x x) n (*.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n)) (neg.f64 x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) n (*.f64 n #s(literal 1 binary64))) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (*.f64 n x)) (*.f64 n #s(literal -1/3 binary64))) (*.f64 n (*.f64 (neg.f64 x) (*.f64 n x)))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) (*.f64 (sqrt.f64 x) (sqrt.f64 x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x))) |
3 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| 6.0ms | x |
| 6.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.2% | 4 | n |
| 50.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
| 50.7% | 3 | x |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) (neg.f64 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x))) |
1 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (neg.f64 x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n)) |
1 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x))))) |
1 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) n) (*.f64 x x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
4 calls:
| 3.0ms | n |
| 3.0ms | x |
| 3.0ms | (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 48.6% | 3 | x |
| 45.4% | 2 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 50.6% | 3 | n |
| 49.1% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
3 calls:
| 2.0ms | n |
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.2% | 1 | x |
| 46.0% | 3 | n |
| 46.0% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
4 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | 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 |
|---|---|---|
| 36.3% | 1 | x |
| 36.3% | 1 | n |
| 36.3% | 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))) |
| 36.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
4 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | 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 |
|---|---|---|
| 36.3% | 1 | n |
| 36.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 36.3% | 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))) |
| 36.3% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
4 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | x |
| 1.0ms | n |
| 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 |
|---|---|---|
| 35.7% | 1 | n |
| 35.7% | 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))) |
| 35.7% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 35.7% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -2.983962044393941e-16 | -5.597738456055365e-27 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.597249922641081e+137 | 3.3165486792412065e+160 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -2.983962044393941e-16 | -5.597738456055365e-27 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3165486792412065e+160 | 4.540283984020114e+172 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -2.983962044393941e-16 | -5.597738456055365e-27 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3165486792412065e+160 | 4.540283984020114e+172 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -2.983962044393941e-16 | -5.597738456055365e-27 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3165486792412065e+160 | 4.540283984020114e+172 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.3165486792412065e+160 | 4.540283984020114e+172 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.359424275135083e+86 | 4.247156867165684e+91 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.507283445887881e+184 | 5.721384614142722e+189 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.507283445887881e+184 | 5.721384614142722e+189 |
| 0.0ms | 1.5082834510605827e-8 | 5.375375313492621 |
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 0.09049554690843996 | 911.2714589879316 |
| 8.0ms | 49× | 1 | valid |
| 8.0ms | 23× | 2 | valid |
| 4.0ms | 56× | 0 | valid |
| 1.0ms | 15× | 0 | exit |
Compiled 616 to 405 computations (34.3% saved)
ival-pow: 11.0ms (63.9% of total)adjust: 3.0ms (17.4% of total)ival-div: 2.0ms (11.6% of total)ival-add: 1.0ms (5.8% of total)ival-sub: 1.0ms (5.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.09049554690843996 | 911.2714589879316 |
| 6.0ms | 37× | 1 | valid |
| 5.0ms | 16× | 2 | valid |
| 3.0ms | 43× | 0 | valid |
Compiled 608 to 405 computations (33.4% saved)
ival-pow: 8.0ms (67.5% of total)adjust: 2.0ms (16.9% of total)ival-div: 1.0ms (8.4% of total)ival-sub: 1.0ms (8.4% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.004735041003488788 | -6.695656855562603e-9 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.004735041003488788 | -6.695656855562603e-9 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.004735041003488788 | -6.695656855562603e-9 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1016312.6516567818 | -0.004735041003488788 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -447817806292058.8 | -2514493154664.0596 |
Compiled 14 to 14 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 285 | 2598 |
| 1 | 422 | 2558 |
| 2 | 719 | 2555 |
| 3 | 1633 | 2531 |
| 4 | 4891 | 2531 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 #s(approx (+ (* -1/2 (* (neg n) n)) (* n -1/2)) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 499999999999999979708362228175181365745998044824225719834869504903351961475477212758016 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) 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 (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) #s(approx (/ (- (+ (+ 1 (/ (+ (* -1/2 (log x)) 1/2) (* n x))) (/ (log x) n)) (/ 1/2 x)) n) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) #s(literal 1/2 binary64)) n) #s(literal 1/2 binary64)) (*.f64 n x)))) x))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (/ (+ -1/2 (/ 1/2 n)) n) x) (/ 1 n)) (*.f64 (/.f64 x (*.f64 n n)) #s(literal 1/2 binary64))) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 49999999999999998980852208437685758555356472593342082603381605947872422739278055501808572305519799253930125569581478605944175487936819013075944738996003952930215442747098861295896625152 binary64)) (-.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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) x)))))) |
(if (<=.f64 x #s(literal 8106479329266893/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) x) (neg.f64 x)) (*.f64 (neg.f64 x) #s(literal 1 binary64))) (*.f64 x x))) n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n x))) (neg.f64 x)) (/.f64 #s(literal 1 binary64) n))) x)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -400000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| Outputs |
|---|
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1000000000000000032841562489204926078987012566359611695512313426258747006898787995544001315627727412683949504784322435578648490634211491840 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (/ (+ -1/2 (/ 1/2 n)) n) x) (exp (/ (log x) n))) (/ (exp (/ (log x) n)) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2028240960365167/10141204801825835211973625643008 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3022314549036573/151115727451828646838272 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (log (/ (+ 1 x) x)) n) (/.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000001887294662411407443533081825641014488466543294060088134318769385525237556959827145239234763882681864505882216148946029099504910582896334060126208 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 (neg.f64 n) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (/.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(approx (/ (- (/ (- (/ 1/4 x) 1/3) (neg x)) 1/2) (neg x)) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) #s(literal 1 binary64)) (neg.f64 x))) n))) |
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(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1152921504606847/288230376151711744 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) x) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 n x)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(approx (- (+ (/ 1/3 (* (* x x) n)) (/ 1 n)) (/ (/ 1/2 n) x)) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x))) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))) |
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -400000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n (sqrt.f64 (*.f64 x x)))))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -400000000000000 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n (sqrt.f64 (*.f64 x x))) #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 797 | 4345 |
| 1 | 2589 | 4026 |
| 0 | 8456 | 3800 |
| 0 | 46 | 474 |
| 0 | 82 | 474 |
| 1 | 352 | 470 |
| 2 | 2770 | 470 |
| 0 | 9957 | 466 |
| 0 | 879 | 4797 |
| 1 | 2903 | 4563 |
| 0 | 8558 | 4303 |
| 0 | 752 | 4729 |
| 1 | 2554 | 4112 |
| 0 | 8358 | 3911 |
| 0 | 56 | 477 |
| 0 | 91 | 457 |
| 1 | 356 | 441 |
| 2 | 2866 | 421 |
| 0 | 8447 | 415 |
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 59 | 34 |
| 2 | 373 | 34 |
| 3 | 3875 | 34 |
| 0 | 8189 | 30 |
| 0 | 70 | 676 |
| 0 | 108 | 671 |
| 1 | 422 | 663 |
| 2 | 3368 | 651 |
| 0 | 9511 | 628 |
| 0 | 263 | 1454 |
| 1 | 845 | 1331 |
| 2 | 3085 | 1284 |
| 0 | 8423 | 1174 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 596 to 291 computations (88.8% saved)
Compiled 5 218 to 598 computations (88.5% saved)
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