
Time bar (total: 23.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 7 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 8 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 9 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 10 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 11 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 10.7s | 4 930× | 5 | exit |
| 1.6s | 2 840× | 2 | valid |
| 836.0ms | 2 819× | 1 | valid |
| 648.0ms | 2 359× | 1 | exit |
| 378.0ms | 1 651× | 0 | exit |
| 345.0ms | 2 597× | 0 | valid |
| 5.0ms | 5× | 3 | exit |
| 4.0ms | 5× | 2 | exit |
| 3.0ms | 2× | 4 | exit |
ival-pow: 10.2s (78% of total)adjust: 1.4s (10.9% of total)ival-div: 619.0ms (4.7% of total)ival-add: 479.0ms (3.7% of total)ival-sub: 301.0ms (2.3% of total)ival-true: 17.0ms (0.1% of total)exact: 13.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 112 | 1 | (3.071794131148514e+138 9.5269695233081e+184) | 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))) |
| 26 | 35 | (6.29388505977921e-164 8.246851229623912e-26) | 1 | (8.002824363979144e+280 -11.469823166311842) | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 1 | 0 | - | 1 | (8.002824363979144e+280 -11.469823166311842) | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 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 | 60 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 48 | 83 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 48 | 1 | 82 |
| number | freq |
|---|---|
| 0 | 83 |
| 1 | 173 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 104.0ms | 210× | 2 | valid |
| 75.0ms | 212× | 1 | valid |
| 8.0ms | 90× | 0 | valid |
Compiled 119 to 36 computations (69.7% saved)
ival-pow: 104.0ms (72.9% of total)adjust: 16.0ms (11.2% of total)ival-div: 10.0ms (7% of total)ival-add: 6.0ms (4.2% of total)ival-sub: 6.0ms (4.2% of total)ival-true: 1.0ms (0.7% of total)ival-assert: 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 | 43 | 69 |
| 2 | 93 | 67 |
| 3 | 160 | 67 |
| 4 | 251 | 67 |
| 5 | 370 | 67 |
| 6 | 449 | 67 |
| 7 | 493 | 67 |
| 8 | 540 | 67 |
| 9 | 556 | 67 |
| 10 | 564 | 67 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 18 | 13 |
| 2 | 22 | 13 |
| 3 | 28 | 13 |
| 4 | 36 | 13 |
| 5 | 51 | 13 |
| 6 | 83 | 13 |
| 7 | 112 | 13 |
| 8 | 161 | 13 |
| 9 | 177 | 13 |
| 10 | 185 | 13 |
| 0 | 185 | 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 |
|---|---|---|
| ▶ | 55.1% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) | |
| cost-diff | 0 | (+.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| cost-diff | 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))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 0 | 13 | 34 |
| 1 | 18 | 34 |
| 2 | 22 | 34 |
| 3 | 28 | 34 |
| 4 | 36 | 34 |
| 5 | 51 | 34 |
| 6 | 83 | 34 |
| 7 | 112 | 34 |
| 8 | 161 | 34 |
| 9 | 177 | 34 |
| 10 | 185 | 34 |
| 0 | 185 | 34 |
| 1× | iter limit |
| 1× | saturated |
| 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 (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))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 x #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) x) |
x |
#s(literal 1 binary64) |
(/.f64 #s(literal 1 binary64) n) |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (+.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 5.698468937401231 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.73203251017125 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 55.0ms | 106× | 1 | valid |
| 51.0ms | 105× | 2 | valid |
| 4.0ms | 45× | 0 | valid |
Compiled 70 to 18 computations (74.3% saved)
ival-pow: 77.0ms (80.3% of total)adjust: 8.0ms (8.3% of total)ival-div: 5.0ms (5.2% of total)ival-add: 3.0ms (3.1% of total)ival-sub: 3.0ms (3.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 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)) |
(/.f64 #s(literal 1 binary64) 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) |
(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 |
(* 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) |
(/ (- (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 | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 23.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 8.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 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) (/ 1 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) (/ 1 n) (pow x (/ 1 n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1455 |
| 1 | 761 | 1349 |
| 2 | 2161 | 1275 |
| 3 | 7630 | 1269 |
| 0 | 8915 | 1165 |
| 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) |
(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 |
(* 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) |
(/ (- (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) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (/.f64 x n) (expm1.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 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (/.f64 x n) (expm1.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 (*.f64 x x) (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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 x n) (expm1.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 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 (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 (/.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) |
(+.f64 #s(literal 1 binary64) x) |
(exp (/ (log x) n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/ (+ (/ (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.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))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.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))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))) |
(fma.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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))))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) x) (+.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))) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ (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 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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) |
(* -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 (+.f64 (/.f64 (*.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)) (/.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))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) 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 (+.f64 (/.f64 (-.f64 (*.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))) (/.f64 (*.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 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (/.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))) x))) x)) 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)) |
(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 (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) 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.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 (/ (+ (* -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 (/.f64 (+.f64 (/.f64 (*.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)) (/.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))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (-.f64 (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 (/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (log1p.f64 x)) (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(-.f64 (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log1p.f64 x) #s(literal 4 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 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)))) n) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64))) |
(+ 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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) 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 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) 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))) |
(+.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 (-.f64 (log1p.f64 x) (log.f64 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)) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n) (-.f64 (log.f64 x) (log1p.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 (log.f64 x) (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 #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))) n)) (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 (log.f64 x) (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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (*.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))) (neg.f64 n))) n)) (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))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) (log1p.f64 x)) n)) |
(+ 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))) |
(-.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 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 407 | 31 |
| 3 | 4335 | 31 |
| 0 | 8424 | 27 |
| 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)) |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (neg.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #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 (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)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) 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 -1 binary64))) |
(*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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)))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal -1 binary64))) (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) |
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 18 binary64))) (pow.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 12 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (+.f64 #s(literal 1 binary64) 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)) (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 (+.f64 #s(literal 1 binary64) 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 (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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3 binary64) n)) (+.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) 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 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) |
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(pow.f64 (pow.f64 x #s(literal 1/2 binary64)) (/.f64 #s(literal 2 binary64) n)) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 n #s(literal -1 binary64))) #s(literal -1/2 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 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(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 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) |
(pow.f64 (*.f64 x x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) |
(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 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) 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 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) n))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
Compiled 11 308 to 1 474 computations (87% saved)
8 alts after pruning (8 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 414 | 8 | 422 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 415 | 8 | 423 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 18.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 24.3% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 31.0% | (-.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))) | |
| ▶ | 40.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 43.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
| ▶ | 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| 58.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
Compiled 416 to 252 computations (39.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (/.f64 (log1p.f64 x) n) | |
| cost-diff | 0 | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) | |
| cost-diff | 320 | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) | |
| cost-diff | 7744 | (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 320 | (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) | |
| cost-diff | 320 | (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)) | |
| cost-diff | 384 | (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)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) | |
| cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| cost-diff | 0 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| cost-diff | 0 | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 373 |
| 0 | 56 | 373 |
| 1 | 77 | 373 |
| 2 | 124 | 373 |
| 3 | 291 | 373 |
| 4 | 572 | 366 |
| 5 | 1240 | 366 |
| 6 | 2485 | 346 |
| 7 | 4913 | 340 |
| 8 | 7101 | 340 |
| 0 | 8044 | 334 |
| 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 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
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)) |
x |
(/.f64 #s(literal 1 binary64) n) |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#s(literal 1/2 binary64) |
(*.f64 n n) |
n |
(/.f64 #s(literal 1/2 binary64) n) |
x |
(/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
n |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#s(literal 1/2 binary64) |
(*.f64 n n) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
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)) |
x |
(/.f64 #s(literal 1 binary64) n) |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#s(literal 1/2 binary64) |
(*.f64 n n) |
n |
(/.f64 #s(literal 1/2 binary64) n) |
x |
(/.f64 #s(literal 1 binary64) 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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x)))) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x))) |
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
(*.f64 (-.f64 (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) x) #s(literal -1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
n |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#s(literal 1/2 binary64) |
(*.f64 n n) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 0.17578125 | (/.f64 (log1p.f64 x) n) | |
| accuracy | 25.73203251017125 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 0.0625 | (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) | |
| accuracy | 0.3593903636538794 | (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) | |
| accuracy | 7.671833719124422 | (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) | |
| accuracy | 24.428854724561674 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) | |
| accuracy | 1.0147012230909231 | (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)) | |
| accuracy | 1.7405054671577933 | (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)) | |
| accuracy | 25.73203251017125 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 28.225044033587324 | #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) n) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 12.7894893947993 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 25.73203251017125 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 0.00390625 | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| 197.0ms | 105× | 2 | valid |
| 52.0ms | 80× | 1 | valid |
| 18.0ms | 42× | 0 | valid |
| 7.0ms | 29× | 0 | exit |
Compiled 684 to 62 computations (90.9% saved)
ival-pow: 139.0ms (58.9% of total)ival-div: 29.0ms (12.3% of total)adjust: 18.0ms (7.6% of total)ival-log1p: 13.0ms (5.5% of total)ival-add: 10.0ms (4.2% of total)ival-mult: 10.0ms (4.2% of total)ival-exp: 9.0ms (3.8% of total)ival-sub: 7.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) 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)) |
(/.f64 #s(literal 1 binary64) n) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.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))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(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 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/ x n) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
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)))) |
(/ (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))) 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 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 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)))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(* -1 (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(* -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 (/ (+ (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)) 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 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n 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 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (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 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(* 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 (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (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 (/ (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)) |
(/ (log (+ 1 x)) 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 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(/ 1 x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+ 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 (/ (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 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ -1/2 n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) 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))) (* 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 (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 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 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 (/ (+ (* -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 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) 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 (* 1/2 (/ 1 n))) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 278.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n))) |
| 35.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n))) |
| 22.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n))) |
| 16.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n))) |
| 15.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (pow x (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (/ 1 n) (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (/ 1/2 (* n n)) (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (pow (+ x 1) (/ 1 n)) (/ 1/2 (* n n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 648 | 3533 |
| 1 | 1908 | 3287 |
| 2 | 5661 | 3234 |
| 0 | 8634 | 3042 |
| 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))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(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 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/ x n) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
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)))) |
(/ (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))) 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 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 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)))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(* -1 (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(* -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 (/ (+ (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)) 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 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n 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 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (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 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(* 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 (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (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 (/ (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)) |
(/ (log (+ 1 x)) 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 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(/ 1 x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+ 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 (/ (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 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ -1/2 n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) 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))) (* 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 (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 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 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 (/ (+ (* -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 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) 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 (* 1/2 (/ 1 n))) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) 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 (/.f64 #s(literal 1/2 binary64) n) #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 (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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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)))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(exp (/ (log x) n)) |
(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 (/.f64 #s(literal 1/2 binary64) n) #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 (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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(/ 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 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (/.f64 #s(literal 1 binary64) n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(*.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))) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(*.f64 (/.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)) x)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) (*.f64 x x)) |
(/ x n) |
(/.f64 x n) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 #s(literal 1/3 binary64) n) x (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 binary64) (/.f64 x n) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) 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 (fma.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 (fma.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) |
(/ (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 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) 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 1/3 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 (/.f64 #s(literal 1/2 binary64) n) #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 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (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))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) 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)))) |
(fma.f64 (/.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)) 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)) (/ (* (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))))) |
(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))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 x x))) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(*.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x) x) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n)))) |
(*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(fma.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 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(* -1 (/ (log (/ 1 x)) n)) |
(/.f64 (log.f64 x) n) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (/.f64 (log.f64 x) n)) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(-.f64 (/.f64 (log.f64 x) n) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n) x)) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n) x)) (/.f64 (log.f64 x) n)) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) (log.f64 x)) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (log.f64 x)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) x)) |
(/ (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 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) 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) |
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(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (log.f64 x) x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (/.f64 (log.f64 x) n))))) (/.f64 #s(literal 1/2 binary64) 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) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (log.f64 x) x) #s(literal 1 binary64)) (fma.f64 (/.f64 #s(literal -1/4 binary64) x) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) (fma.f64 (/.f64 #s(literal -1/12 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) x) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) x) (/.f64 (log.f64 x) n)))))))) (/.f64 #s(literal 1/2 binary64) x)) n) |
(/ (- 1 (* 1/2 (/ 1 x))) (* n x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) 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) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (log.f64 x) n) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) n)))) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (log.f64 x) n) (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 n n))) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) n)))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x x)) (/.f64 (log.f64 x) n) (+.f64 (fma.f64 (/.f64 #s(literal -1/12 binary64) (*.f64 x x)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 n #s(literal 3 binary64))) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (/.f64 (/.f64 (log.f64 x) n) n) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (*.f64 n n))) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 x x) n))))))) (fma.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x x)) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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)) |
(/.f64 (-.f64 (log.f64 x) (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))) (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 (log.f64 x) (+.f64 (/.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 (*.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)) n) (log1p.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 (log.f64 x) (+.f64 (/.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 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64) (/.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)) (neg.f64 n))) n) (log1p.f64 x))) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/2 binary64) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x)) n) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n)) n) (/.f64 #s(literal 1 binary64) x)) n) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (neg.f64 (log.f64 x)) x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64))) n) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x)) |
(+ 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 (/.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))) n) (log.f64 x)) n) #s(literal 1 binary64)) |
(+ 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 (/.f64 (+.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)) n) #s(literal 1 binary64)) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(/.f64 (fma.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 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64))) (neg.f64 n)) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) x)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 x (/.f64 x n)) #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x)) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x)))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) n)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64))) n)) n)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal -1/2 binary64) (log.f64 x)) (/.f64 #s(literal 1/2 binary64) x)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (log.f64 x) x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal -1/12 binary64) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/4 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (neg.f64 n)))) n)) n)) #s(literal 1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) x) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64))) n)) n)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) x) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x)) (fma.f64 (/.f64 #s(literal 1/4 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) x) #s(literal -1/12 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/6 binary64)))) (neg.f64 n)))) n)) n)) (neg.f64 n)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 284 |
| 0 | 56 | 272 |
| 1 | 252 | 256 |
| 2 | 2138 | 256 |
| 0 | 8308 | 256 |
| 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 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) 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)) |
(/.f64 #s(literal 1 binary64) n) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n)) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x #s(literal -1 binary64))) n)) |
(*.f64 (/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (neg.f64 x))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)) |
(*.f64 (pow.f64 (/.f64 n (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) n) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n) (/.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 n x))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n) #s(literal 1 binary64)) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n)) |
(pow.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n) #s(literal -1 binary64)) |
(pow.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) n))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 n x))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal -1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) (neg.f64 x)) |
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (*.f64 n (neg.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (neg.f64 (*.f64 n x)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 n))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) n)) |
(/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x (neg.f64 n))) |
(/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (*.f64 n x)) |
(/.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) (neg.f64 n)) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 n (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (*.f64 n x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 n))) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) (neg.f64 (neg.f64 n))) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) n) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 n (neg.f64 x))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n (neg.f64 x)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 n x))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 n x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x)) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x)) |
(pow.f64 (/.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) |
(pow.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64))) |
(pow.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(neg.f64 (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x)) |
(pow.f64 (pow.f64 (*.f64 x x) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (exp.f64 (neg.f64 (log1p.f64 x))) (/.f64 #s(literal -1 binary64) n)) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log1p.f64 x)) |
(pow.f64 (exp.f64 #s(literal 1 binary64)) (/.f64 (log1p.f64 x) n)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64)) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n))) |
(exp.f64 (fma.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (*.f64 (log1p.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (/.f64 (log1p.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x)) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x)) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 #s(literal 2 binary64) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) |
(*.f64 (log1p.f64 x) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (log1p.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (log1p.f64 x)) |
(*.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) |
(pow.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (log1p.f64 x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (log1p.f64 x)))) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) n) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (log1p.f64 x)))) |
(/.f64 (log1p.f64 x) n) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (log1p.f64 x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log1p.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n))) |
(-.f64 (/.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) n) (/.f64 (log1p.f64 (neg.f64 x)) n)) |
(-.f64 (/.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) n) (/.f64 (log.f64 (-.f64 x #s(literal 1 binary64))) n)) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) n) (/.f64 (log1p.f64 (fma.f64 x x (neg.f64 x))) n)) |
(-.f64 (/.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) n) (/.f64 (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log1p.f64 x) (neg.f64 n))) |
(+.f64 (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n))) (log.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (log1p.f64 x))) #s(literal -1 binary64))) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(log1p.f64 x) |
(neg.f64 (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(neg.f64 (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 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 (fma.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)) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (fma.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 (fma.f64 x x (neg.f64 x)))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(+.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))) |
(+.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64))) (log.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(+.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) |
(log.f64 (+.f64 #s(literal 1 binary64) x)) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64))) |
(*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) n)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (*.f64 (neg.f64 n) n) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -2 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) |
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (neg.f64 n)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (*.f64 (neg.f64 n) n)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 n) n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 (neg.f64 n))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (neg.f64 n) n))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (neg.f64 n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))) #s(literal -1 binary64))) |
Compiled 47 862 to 4 513 computations (90.6% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 202 | 16 | 1 218 |
| Fresh | 1 | 2 | 3 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 206 | 20 | 1 226 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.1% | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 28.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 31.0% | (-.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))) |
| ▶ | 20.3% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 11.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 13.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 27.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) | |
| ✓ | 40.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) | |
| 62.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) | |
| ✓ | 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) | |
| 58.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 61.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| ▶ | 42.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x)) | |
| 34.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) | |
| ▶ | 62.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
| 38.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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)))) | |
| 37.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n)))) |
Compiled 1 442 to 801 computations (44.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x n) | |
| cost-diff | 0 | #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) | |
| cost-diff | 0 | (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) | |
| cost-diff | 0 | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)) | |
| cost-diff | 0 | #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 x n) | |
| cost-diff | 0 | (+.f64 (/.f64 x n) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) | |
| cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) | |
| cost-diff | 704 | (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) | |
| cost-diff | 7488 | (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 459 |
| 0 | 79 | 453 |
| 1 | 115 | 453 |
| 2 | 175 | 445 |
| 3 | 348 | 441 |
| 4 | 755 | 435 |
| 5 | 1395 | 429 |
| 6 | 2645 | 429 |
| 7 | 5969 | 429 |
| 0 | 8193 | 405 |
| 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 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
x |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal 1 binary64) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#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) |
x |
n |
#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)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
n |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) |
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) |
(/.f64 x n) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
x |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal 1 binary64) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#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) |
x |
n |
#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)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) n) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) n) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n n)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
n |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) |
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) |
(/.f64 x n) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.010097509768442016 | (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.73203251017125 | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 30.493406300473254 | #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) | |
| accuracy | 4.492345297066234 | (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) | |
| accuracy | 18.253827938757134 | (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) | |
| accuracy | 25.73203251017125 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 31.457289858843282 | #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) | |
| accuracy | 0.0 | (+.f64 (/.f64 x n) #s(literal 1 binary64)) | |
| accuracy | 0.03479254138909578 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.73203251017125 | (-.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))) | |
| accuracy | 27.054935385343576 | #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.1328125 | (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) | |
| accuracy | 25.235441471972653 | #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.026837362185872675 | (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) | |
| accuracy | 0.02734375 | (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) | |
| accuracy | 0.08203125 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
| 164.0ms | 105× | 2 | valid |
| 81.0ms | 106× | 1 | valid |
| 30.0ms | 45× | 0 | valid |
Compiled 771 to 98 computations (87.3% saved)
ival-pow: 65.0ms (31.9% of total)ival-div: 50.0ms (24.5% of total)adjust: 26.0ms (12.8% of total)ival-mult: 22.0ms (10.8% of total)ival-add: 17.0ms (8.3% of total)ival-exp: 8.0ms (3.9% of total)ival-sub: 8.0ms (3.9% of total)ival-log1p: 7.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(/.f64 x n) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) |
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x)) |
(exp (* 1/2 (/ (log x) n))) |
(- 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))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(/ 1 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) |
(pow n 2) |
(+ (* n x) (pow n 2)) |
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2)) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(/ (exp (* 1/2 (/ (log x) n))) (* n x)) |
(exp (/ (log x) n)) |
n |
(+ n x) |
(+ n (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(/ (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2) (* n x)) |
(exp (* -1/2 (/ (log (/ 1 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))) 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 n) (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 2) (pow x 2)))))) |
(* (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)))) |
(* -1 (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(/ (exp (* -1/2 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) n) |
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))) |
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (+ (/ 1 x) (/ n (pow x 2)))))) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2)) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2)))))) |
(/ (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2) (* n x)) |
(exp (* 1/2 (/ (+ (log -1) (* -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)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 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))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 n)))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n))) |
(/ (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x)) |
(* (pow x 2) (+ -1/2 (+ (* -1 (/ (- (* -1 (/ n x)) 1) x)) (* 1/2 (/ 1 n))))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ (+ n x) n) |
(* 1/2 (pow x 2)) |
(+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) |
(+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) |
(* 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)) |
(/ (log (+ 1 x)) n) |
(* 1/2 (/ (pow x 2) n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) n) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) n) |
(/ 1 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/24 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))) n) |
(+ 1 (* 1/2 (/ (log x) n))) |
(+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))) |
(+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) 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) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+ 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)))) |
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))) |
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x)) n) |
(/ (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x))) n) |
(/ (+ (* 1/48 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 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)))) |
(* n (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))) |
(* n (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* -1/8 (/ (pow (log x) 3) (* n x))) (* -1/24 (/ (pow (log x) 3) (* n x))))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (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 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 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))) |
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow 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 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (log x) 2) x)) (* -1/48 (/ (pow (log x) 3) (* n x)))) n)) (* 1/2 (/ (log x) x))) n)) (/ 1 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 (* n (- (* -1 (/ (* x (+ 1 (* -1/2 x))) n)) 1))) |
(* -1 (* n (- (* -1 (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 51.0ms | x | @ | -inf | ((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n)) |
| 20.0ms | n | @ | -inf | ((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n)) |
| 15.0ms | x | @ | inf | ((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n)) |
| 14.0ms | x | @ | 0 | ((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n)) |
| 12.0ms | n | @ | inf | ((* (/ (pow x (/ 1/2 n)) 1) (/ (/ (pow x (/ 1/2 n)) n) x)) (/ (pow x (/ 1/2 n)) 1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow x (/ 1/2 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (/ x n) 1) (/ x n) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (/ (/ (pow x (/ 1/2 n)) n) x) (pow x (/ 1 n)) (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (/ (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 580 | 3104 |
| 1 | 1716 | 2932 |
| 2 | 4898 | 2760 |
| 0 | 8158 | 2565 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x)) |
(exp (* 1/2 (/ (log x) n))) |
(- 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))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(/ 1 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) |
(pow n 2) |
(+ (* n x) (pow n 2)) |
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2)) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(/ (exp (* 1/2 (/ (log x) n))) (* n x)) |
(exp (/ (log x) n)) |
n |
(+ n x) |
(+ n (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(/ (pow (exp (* -1/2 (/ (log (/ 1 x)) n))) 2) (* n x)) |
(exp (* -1/2 (/ (log (/ 1 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))) 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 n) (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 2) (pow x 2)))))) |
(* (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)))) |
(* -1 (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(/ (exp (* -1/2 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) n) |
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (/ 1 x)))) |
(* (pow x 2) (+ -1/2 (+ (* 1/2 (/ 1 n)) (+ (/ 1 x) (/ n (pow x 2)))))) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2)) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2)))))) |
(/ (pow (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) 2) (* n x)) |
(exp (* 1/2 (/ (+ (log -1) (* -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)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 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))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 n)))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n))) |
(/ (exp (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x)) |
(* (pow x 2) (+ -1/2 (+ (* -1 (/ (- (* -1 (/ n x)) 1) x)) (* 1/2 (/ 1 n))))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ (+ n x) n) |
(* 1/2 (pow x 2)) |
(+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) |
(+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) |
(* 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)) |
(/ (log (+ 1 x)) n) |
(* 1/2 (/ (pow x 2) n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) n) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) n) |
(/ 1 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/24 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))) n) |
(+ 1 (* 1/2 (/ (log x) n))) |
(+ 1 (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) n)))) |
(+ 1 (+ (* 1/48 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/8 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (log x) 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) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+ 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)))) |
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))) |
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(/ (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x)) n) |
(/ (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 1 x))) n) |
(/ (+ (* 1/48 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/8 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (* 1/2 (/ (log x) (* n x))) (/ 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)))) |
(* n (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))) |
(* n (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n)))) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (+ (* -1/8 (/ (pow (log x) 3) (* n x))) (* -1/24 (/ (pow (log x) 3) (* n x))))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1/2 (log x)) (* -1/8 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/48 (/ (pow (log x) 3) n)) (* 1/8 (pow (log x) 2))) n)) (* -1/2 (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 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 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))) |
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow 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 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (log x) 2) x)) (* -1/48 (/ (pow (log x) 3) (* n x)))) n)) (* 1/2 (/ (log x) x))) n)) (/ 1 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 (* n (- (* -1 (/ (* x (+ 1 (* -1/2 x))) n)) 1))) |
(* -1 (* n (- (* -1 (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)) 1))) |
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))) |
| Outputs |
|---|
(/ (pow (exp (* 1/2 (/ (log x) n))) 2) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp (* 1/2 (/ (log x) n))) |
(sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) |
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(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n)) (*.f64 n n)) |
(+ 1 (* -1 (/ (* x (- (* 1/2 x) 1)) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) (neg.f64 x) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n)) |
(* -1 (/ (- (* -1/2 (/ (log x) (* n x))) (/ 1 x)) n)) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) n) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/8 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (*.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) #s(literal 1/8 binary64))) n) (/.f64 #s(literal 1 binary64) x)) n) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (/ (pow (log x) 2) x)) (* -1/48 (/ (pow (log x) 3) (* n x)))) n)) (* 1/2 (/ (log x) x))) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) x) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal -1/48 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) (neg.f64 n))) n) (/.f64 #s(literal 1 binary64) x)) n) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (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 (/.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))) n) (log.f64 x)) n) #s(literal 1 binary64)) |
(* -1 (* n (- (* -1 (/ (* x (+ 1 (* -1/2 x))) n)) 1))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) n) (neg.f64 x) #s(literal 1 binary64)) n) |
(* -1 (* n (- (* -1 (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)) 1))) |
(*.f64 (-.f64 #s(literal -1 binary64) (/.f64 (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x) n)) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 (/.f64 #s(literal -1/2 binary64) n) x (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 390 |
| 0 | 79 | 384 |
| 1 | 346 | 366 |
| 2 | 2929 | 366 |
| 0 | 9566 | 342 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(/.f64 x n) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) |
#s(approx (/ (log (+ 1 x)) n) (/.f64 x n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (pow.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) #s(literal 1 binary64))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) |
(pow.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (neg.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (neg.f64 x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 x #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)) (*.f64 #s(literal -1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)) (*.f64 #s(literal 1 binary64) (neg.f64 x))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) n)) (neg.f64 x)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 (*.f64 n x) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (*.f64 n x))) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 (*.f64 n x) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 x (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) x)) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n x))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))))) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 (/.f64 #s(literal 1/2 binary64) n)) (log.f64 x)) |
(pow.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal -1 binary64)) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (sqrt.f64 x) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (neg.f64 n) #s(literal -1 binary64))) |
(pow.f64 (sqrt.f64 x) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (sqrt.f64 x) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 x x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
(pow.f64 x (*.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64))) |
(pow.f64 x (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) |
(pow.f64 x (fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)))) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
(/.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x (/.f64 #s(literal -1/2 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) (/.f64 #s(literal -1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) |
(neg.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (neg.f64 (neg.f64 (*.f64 (log.f64 x) (/.f64 #s(literal 1/2 binary64) n))))) |
(exp.f64 (fma.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64))) #s(literal 2 binary64))) |
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(pow.f64 (/.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal -1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)) n) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64)) (*.f64 n n)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal 1 binary64)) (*.f64 (neg.f64 n) n)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 n) n)) |
(/.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal 1 binary64)) (*.f64 n n)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x))))) |
(/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64))) (*.f64 (*.f64 n n) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (*.f64 (neg.f64 n) n)) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) (neg.f64 (neg.f64 n))) |
(/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (*.f64 n n)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) (neg.f64 n)) n)) |
(neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) (neg.f64 n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))) #s(literal -1 binary64))) |
Compiled 30 420 to 2 496 computations (91.8% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 682 | 10 | 692 |
| Fresh | 3 | 10 | 13 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 687 | 25 | 712 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.1% | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | 31.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 13.8% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 32.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 20.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 13.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 27.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) | |
| ✓ | 40.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) | |
| ▶ | 62.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
| 61.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) | |
| ✓ | 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| ▶ | 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
| 58.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 61.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 42.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) | |
| 48.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) | |
| ✓ | 42.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x)) | |
| ▶ | 34.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
| 41.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) | |
| ▶ | 42.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
| 37.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n)))) |
Compiled 1 777 to 1 001 computations (43.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) | |
| cost-diff | 0 | (pow.f64 n #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) | |
| cost-diff | 6080 | (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) | |
| cost-diff | 0 | #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 320 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| cost-diff | 832 | (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) | |
| cost-diff | 0 | (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) | |
| cost-diff | 192 | (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) | |
| cost-diff | 0 | #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) | |
| cost-diff | 0 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 570 |
| 0 | 93 | 566 |
| 1 | 145 | 566 |
| 2 | 260 | 558 |
| 3 | 597 | 558 |
| 4 | 1537 | 535 |
| 5 | 4583 | 520 |
| 0 | 8249 | 504 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
x |
(/.f64 #s(literal -1 binary64) n) |
#s(literal -1 binary64) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) |
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) |
x |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal -1 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) |
#s(literal -1 binary64) |
(*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)) |
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
n |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(neg.f64 n) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) |
(pow.f64 n #s(literal -1 binary64)) |
n |
#s(literal -1 binary64) |
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
x |
(/.f64 #s(literal -1 binary64) n) |
#s(literal -1 binary64) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) |
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) |
(/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n) |
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) |
(pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) |
x |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) |
(-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n)) |
#s(literal 2 binary64) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal -1 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)))) |
#s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (+.f64 (/.f64 x n) #s(literal 2 binary64)) x)) x #s(literal 1 binary64)) |
#s(literal -1 binary64) |
(*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n)) |
(*.f64 (neg.f64 n) (/.f64 n (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n)))) |
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(/.f64 n (fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n))) |
n |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) n) (*.f64 n n)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) |
#s(literal -1/2 binary64) |
x |
#s(literal 1 binary64) |
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x) |
(*.f64 #s(literal 1/2 binary64) x) |
#s(literal 1/2 binary64) |
(neg.f64 n) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 n #s(literal -1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n)) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n) |
(pow.f64 n #s(literal -1 binary64)) |
n |
#s(literal -1 binary64) |
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x #s(literal -1 binary64)) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (pow.f64 n #s(literal -1 binary64)) | |
| accuracy | 0.11328125 | (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) | |
| accuracy | 18.34233051923212 | #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) | |
| accuracy | 4.269496159113499 | (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) | |
| accuracy | 18.363665891108266 | (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) | |
| accuracy | 25.73203251017125 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 28.225044033587324 | #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1/2 binary64) n) | |
| accuracy | 0.1328125 | (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) | |
| accuracy | 0.1633249424485967 | (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) | |
| accuracy | 0.0625 | (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) | |
| accuracy | 0.10546875 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) | |
| accuracy | 18.65811355653659 | #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) | |
| accuracy | 24.428854724561674 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) | |
| accuracy | 0.0078125 | (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) | |
| accuracy | 0.032815935297977286 | (pow.f64 x (/.f64 #s(literal -1 binary64) n)) | |
| accuracy | 0.1328125 | (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) | |
| accuracy | 23.916036006228772 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
| 200.0ms | 105× | 2 | valid |
| 78.0ms | 80× | 1 | valid |
| 17.0ms | 42× | 0 | valid |
| 17.0ms | 29× | 0 | exit |
Compiled 955 to 116 computations (87.9% saved)
ival-pow: 70.0ms (28% of total)ival-div: 69.0ms (27.6% of total)ival-add: 41.0ms (16.4% of total)ival-mult: 32.0ms (12.8% of total)adjust: 29.0ms (11.6% of total)ival-sub: 6.0ms (2.4% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/.f64 #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 (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) |
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
(pow.f64 n #s(literal -1 binary64)) |
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) 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 (* n (* x (exp (* -1 (/ (log x) n)))))) |
(/ 1 (* x (exp (* -1 (/ (log x) n))))) |
(/ 1 (exp (* -1 (/ (log x) n)))) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/ -1/2 (* n x)) |
(/ (- (/ x n) (* 1/2 (/ 1 n))) x) |
(/ (exp (* (log x) (- (/ 1 n) 1))) n) |
(exp (* (log x) (- (/ 1 n) 1))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(pow n 2) |
(+ (* n x) (pow n 2)) |
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2)) |
(+ 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)))) |
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(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))) |
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) 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 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)))) |
| 27.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)))) |
| 23.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)))) |
| 19.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)))) |
| 7.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (/ 1 (pow x (/ -1 n))) x) n) (/ (/ 1 (pow x (/ -1 n))) x) (/ 1 (pow x (/ -1 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/ (- 1 (/ 1/2 x)) n) (+ (* 2 (/ 1/2 n)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (+ (* 2 (/ 1/2 n)) -1)) n) (pow x (+ (* 2 (/ 1/2 n)) -1)) (/ -1 (* (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (neg n))) (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (* (pow n -1) (/ (pow x (/ 1 n)) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow n -1) (/ (pow x (/ 1 n)) x) (pow x (/ -1 n)) (/ 1/2 n) (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 876 | 4782 |
| 1 | 2730 | 4464 |
| 0 | 8417 | 4200 |
| 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 (* n (* x (exp (* -1 (/ (log x) n)))))) |
(/ 1 (* x (exp (* -1 (/ (log x) n))))) |
(/ 1 (exp (* -1 (/ (log x) n)))) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/ -1/2 (* n x)) |
(/ (- (/ x n) (* 1/2 (/ 1 n))) x) |
(/ (exp (* (log x) (- (/ 1 n) 1))) n) |
(exp (* (log x) (- (/ 1 n) 1))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(pow n 2) |
(+ (* n x) (pow n 2)) |
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2)) |
(+ 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)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(exp (* -1 (/ (log x) n))) |
(/ 1 n) |
(+ (* -1 (/ x (pow n 2))) (/ 1 n)) |
(+ (* x (- (* x (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) (/ 1 n)) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 n)) (pow n 4))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))))) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (/ 1 (pow n 2)))) (/ 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 (* n (* x (exp (/ (log (/ 1 x)) n))))) |
(/ 1 (* x (exp (/ (log (/ 1 x)) n)))) |
(/ 1 (exp (/ (log (/ 1 x)) n))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(- (/ 1 n) (* 1/2 (/ 1 (* n x)))) |
(/ (exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1)))) n) |
(exp (* -1 (* (log (/ 1 x)) (- (/ 1 n) 1)))) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2)) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (pow x 2)))))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (+ (/ n x) (/ (pow n 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))))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(exp (/ (log (/ 1 x)) n)) |
(/ n (* (pow x 2) (+ 1/2 (* -1/2 n)))) |
(/ (+ (* -1 (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2))) (pow x 2))) (/ n (+ 1/2 (* -1/2 n)))) (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (pow x 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (+ 1/2 (* -1/2 n)))) (* -1 (/ (pow n 4) (pow (+ 1/2 (* -1/2 n)) 3)))) (pow x 3))) (/ n (+ 1/2 (* -1/2 n)))) (+ (* -1 (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (/ (pow n 2) (* x (pow (+ 1/2 (* -1/2 n)) 2))) (/ (pow n 3) (* (pow x 2) (pow (+ 1/2 (* -1/2 n)) 2)))))) (pow x 2)) |
(/ (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 (* n (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))))) |
(/ 1 (* x (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))))) |
(/ 1 (exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))) |
(/ (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 (pow n 2))) (* 1/2 (/ 1 n)))) x)) |
(/ (exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1))) n) |
(exp (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (/ 1 n) 1))) |
(* (pow x 2) (+ 1/2 (+ (* -1 (/ (+ (* -1 n) (* -1 (/ (pow n 2) x))) x)) (* -1/2 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))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x) |
(exp (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/ (+ (* -1 (/ (- (+ (* -1 (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (/ (pow n 3) (* x (pow (+ 1/2 (* -1/2 n)) 2)))) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2)) |
(/ (+ (* -1 (/ (- (* -1 (/ (- (+ (/ (* n (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) (* x (+ 1/2 (* -1/2 n)))) (/ (pow n 4) (* x (pow (+ 1/2 (* -1/2 n)) 3)))) (+ (* -1 (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 3))) (/ (pow n 3) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (* -1 (/ (pow n 2) (pow (+ 1/2 (* -1/2 n)) 2)))) x)) (/ n (+ 1/2 (* -1/2 n)))) (pow x 2)) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) 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 (* 1/2 (/ 1 x))) n) |
(/ (+ 1 (* -1 n)) 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 (pow x 2)) |
(+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) |
(+ (* 1/2 (pow x 2)) (* n (+ n (* x (+ 1 (* -1/2 x)))))) |
(exp (/ (log (+ 1 x)) n)) |
(/ 1/2 n) |
(* 2 (/ n (pow x 2))) |
(* n (+ (* -4 (/ (* n (+ 1 (* -1/2 x))) (pow x 3))) (* 2 (/ 1 (pow x 2))))) |
(* n (+ (* n (- (* -1 (* n (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4)))))) (* 4 (/ (+ 1 (* -1/2 x)) (pow x 3))))) (* 2 (/ 1 (pow x 2))))) |
(* n (+ (* n (- (* n (- (* -1 (* n (+ (* -8 (/ (+ 1 (* -1/2 x)) (pow x 5))) (* -2 (/ (* (+ 1 (* -1/2 x)) (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4))))) x))))) (+ (* -8 (/ (pow (+ 1 (* -1/2 x)) 2) (pow x 4))) (* 4 (/ 1 (pow x 4)))))) (* 4 (/ (+ 1 (* -1/2 x)) (pow x 3))))) (* 2 (/ 1 (pow x 2))))) |
(/ (- (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 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) n) |
(/ (- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) n) |
(/ 1 x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(- (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) (pow n 2))) (/ 1 x)) (* -1 (/ (log x) (* n x)))) |
(- (+ (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) x)) (+ (* 1/2 (/ (pow (log x) 3) x)) (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))))) (pow n 3))) (/ 1 x)) (+ (* -1 (/ (log x) (* n x))) (+ (* -1 (/ (pow (log x) 2) (* (pow n 2) x))) (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x)))))) |
(+ 1 (/ (log x) n)) |
(- (+ 1 (* -1 (/ (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))) (pow n 2)))) (* -1 (/ (log x) n))) |
(- (+ 1 (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (pow n 3)))) (+ (* -1 (/ (log x) n)) (+ (* -1 (/ (pow (log x) 2) (pow n 2))) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))) |
(/ (- 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 (/ (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 n) 1) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+ 1 (/ (* x (+ 1 (* -1/2 x))) n)) |
(+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) n))) |
(* (pow n 2) (+ 1 (/ (* x (+ 1 (* -1/2 x))) n))) |
(* (pow n 2) (+ 1 (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 x))) 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 (* -1 (/ (log x) n))) |
(+ 1 (+ (* -1 (/ (log x) n)) (* 1/2 (/ (pow (log x) 2) (pow n 2))))) |
(+ 1 (+ (* -1 (/ (log x) n)) (+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2)))))) |
(/ (+ 1 (* -1 (/ (* x (+ 1 (* -1/2 x))) n))) n) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2))) (pow n 2)))) (/ (* x (+ 1 (* -1/2 x))) n)) n) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (* x (* (+ 1 (* -1/2 x)) (+ (* -1 (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))) (* 1/2 (pow x 2)))))) (* -1/2 (* (pow x 3) (+ 1 (* -1/2 x))))) (pow n 3)))) (+ (* -1 (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) (pow n 2))) (+ (* 1/2 (/ (pow x 2) (pow n 2))) (/ (* x (+ 1 (* -1/2 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 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x))))) (+ (* -1/2 (/ (pow (log x) 3) x)) (* 1/6 (/ (pow (log x) 3) x)))) n)) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) (* n x))) (* 1/2 (/ (pow (log x) 2) (* n x)))) (/ (log x) x)) n)) (/ 1 x)) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (pow (log x) 3) (* n x))) (* 1/6 (/ (pow (log x) 3) (* n x))))) (+ (* -1 (/ (pow (log x) 2) x)) (* 1/2 (/ (pow (log x) 2) x)))) n)) (/ (log x) x)) n)) (/ 1 x)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (pow (log x) 2) n)) (* 1/2 (/ (pow (log x) 2) n))) (log x)) n))) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (+ (* -1/2 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow (log x) 3) n)))) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))) n)) (log x)) n))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) (pow x 2))) (+ (* 1/6 (/ (pow (log x) 3) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* -1/2 (/ (pow (log x) 2) x)) (* 1/4 (/ (pow (log x) 2) (pow x 2)))))) n)) (+ (* -1/2 (/ (log x) (pow x 2))) (+ (* 1/2 (/ 1 (pow x 2))) (/ (log x) x)))) n)) (/ 1/2 (pow x 2))) (/ 1 x)) n)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -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 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log x) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ (pow (log x) 3) x)) (+ (* 1/6 (pow (log x) 3)) (* 1/4 (/ (pow (log x) 2) x)))) n)) (+ (* -1/2 (/ (log x) x)) (+ (* -1/2 (pow (log x) 2)) (* 1/4 (/ (pow (log x) 2) x))))) n)) (+ (* -1/2 (/ (log x) x)) (* 1/2 (/ 1 x))))) n)) (* 1/2 (/ 1 x))) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) n))) |
(* (pow n 2) (+ 1 (* -1 (/ (+ (* -1 (* x (+ 1 (* -1/2 x)))) (* -1/2 (/ (pow x 2) n))) 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 (/ (+ (log x) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) 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))) |
(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 (* n (* x (exp (* -1 (/ (log x) n)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ 1 (* x (exp (* -1 (/ (log x) n))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(/ 1 (exp (* -1 (/ (log x) n)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) |
(*.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)) (*.f64 x x))) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) (pow x 2)) |
(/.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))) (*.f64 x x)) |
(/ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) |
(*.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)) |
(/ (+ (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* x (exp (/ (log x) n))) n)) x) |
(/.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))) x) |
(/ -1/2 (* n x)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) n) x) |
(/ (- (/ x n) (* 1/2 (/ 1 n))) x) |
(/.f64 (-.f64 (/.f64 x n) (/.f64 #s(literal 1/2 binary64) n)) x) |
(/ (exp (* (log x) (- (/ 1 n) 1))) n) |
(/.f64 (pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) n) |
(exp (* (log x) (- (/ 1 n) 1))) |
(pow.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64))) |
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)) |
(pow n 2) |
(*.f64 n n) |
(+ (* n x) (pow n 2)) |
(*.f64 n (+.f64 x n)) |
(+ (* x (+ n (* x (+ 1/2 (* -1/2 n))))) (pow n 2)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) x n) x (*.f64 n 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)))) |
(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)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(exp (* -1 (/ (log x) n))) |
(exp.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* -1 (/ x (pow n 2))) (/ 1 n)) |
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 x n) n)) |
(+ (* x (- (* x (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3))))) (/ 1 (pow n 2)))) (/ 1 n)) |
(fma.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal -1 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) |
(+ (* x (- (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1/2 (* -1/2 n)) (pow n 4))) (+ (* 1/2 (/ 1 (pow n 3))) (* 1/2 (/ 1 (pow n 4))))))) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (/ 1 (pow n 2)))) (/ 1 n)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64)) (pow.f64 n #s(literal 4 binary64)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) x (/.f64 #s(literal -1 binary64) (*.f64 n n))) x (/.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (/.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)))) (fma.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))) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x) |
(/ 1 (* n (* x (exp (/ (log (/ 1 x)) n))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ 1 (* x (exp (/ (log (/ 1 x)) n)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(/ 1 (exp (/ (log (/ 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
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(* -1 (/ (- (/ (* x (+ 1 (* -1/2 x))) n) 1) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) n)) n) |
(* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (pow x 2) n)) (/ (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 x x) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)) n) (fma.f64 (neg.f64 x) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x x) n) #s(literal -1/2 binary64)))) (neg.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64)) n) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* (pow x 3) (+ 1 (* -1/2 x))) n)) (/ (* x (* (+ 1 (* -1/2 x)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2))))) n)) (+ (* -1/2 (pow x 2)) (* (pow x 2) (pow (+ 1 (* -1/2 x)) 2)))) n)) (* x (+ 1 (* -1/2 x)))) n)) 1) n)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n)) #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64)))) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) n)) (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) #s(literal 2 binary64))))) (neg.f64 n)) (*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x)) (neg.f64 n)) #s(literal -1 binary64) #s(literal 1 binary64)) n) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 60 | 445 |
| 0 | 93 | 440 |
| 1 | 406 | 410 |
| 2 | 3402 | 410 |
| 0 | 9083 | 391 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/.f64 #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 (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
(/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x) |
#s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n) |
(fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
(/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n) |
(pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
(pow.f64 n #s(literal -1 binary64)) |
#s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n)) |
(*.f64 (pow.f64 (/.f64 (neg.f64 n) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) n)) |
(*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (/.f64 (pow.f64 x #s(literal -1 binary64)) n)) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n)) |
(pow.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64))) (neg.f64 (*.f64 (neg.f64 x) (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64))) (neg.f64 (*.f64 (neg.f64 x) n))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) n) |
(/.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) n) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 n))) |
(/.f64 (*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal -1 binary64)) (*.f64 x (neg.f64 n))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 1 binary64)) (*.f64 (neg.f64 x) n)) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (*.f64 n (neg.f64 x))) |
(/.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (*.f64 n x))) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) (neg.f64 n)) |
(/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (neg.f64 n))) |
(/.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) n) |
(/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x) |
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 n x) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) (neg.f64 n))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 (*.f64 n (neg.f64 x)))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 (neg.f64 (*.f64 n x)))) |
(/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 n x) (neg.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) (neg.f64 n)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n x) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))))) |
(neg.f64 (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) n)) |
(exp.f64 (fma.f64 (log.f64 n) #s(literal -1 binary64) (*.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))))) #s(literal -1 binary64))) |
(exp.f64 (fma.f64 (log.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) (neg.f64 (log.f64 n)))) |
(*.f64 (pow.f64 (/.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (*.f64 x (pow.f64 x (/.f64 #s(literal -1/2 binary64) n))) #s(literal -1 binary64)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64)))) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 x (+.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64))) (pow.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) #s(literal 1/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 (neg.f64 x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))) #s(literal 1/2 binary64))))) |
(*.f64 (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (pow.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64))))) |
(pow.f64 (exp.f64 (+.f64 #s(literal -1 binary64) (pow.f64 n #s(literal -1 binary64)))) (log.f64 x)) |
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(pow.f64 (pow.f64 x (+.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64))) (-.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
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(*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (*.f64 #s(literal 2 binary64) n) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 #s(literal -1/2 binary64) (neg.f64 n)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (neg.f64 n))) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (neg.f64 n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 n #s(literal 2 binary64)))) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 n)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 n #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (/.f64 #s(literal -1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) n)) |
(exp.f64 (*.f64 (log.f64 (*.f64 n #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 n (-.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 #s(literal -1/2 binary64) (*.f64 x x)))) |
(*.f64 (/.f64 n (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/8 binary64) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) x) x) (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n)) (pow.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64)) n) |
(*.f64 (neg.f64 n) (pow.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
(*.f64 n (pow.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(pow.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 n))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))))) |
(/.f64 (neg.f64 (neg.f64 n)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
(/.f64 (neg.f64 n) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))) |
(/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) |
(neg.f64 (/.f64 (neg.f64 n) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) |
(neg.f64 (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) (/.f64 n (neg.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n)) #s(literal -1 binary64))) |
Compiled 32 770 to 3 618 computations (89% saved)
27 alts after pruning (22 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 691 | 10 | 701 |
| Fresh | 3 | 12 | 15 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 4 | 5 |
| Total | 699 | 27 | 726 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.1% | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | 31.0% | (-.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))) |
| 32.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 32.3% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.3% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 13.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 27.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) | |
| ✓ | 40.6% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) | |
| 61.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) | |
| 62.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) | |
| 58.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 61.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| 42.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) | |
| 48.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) | |
| ✓ | 42.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x)) | |
| ✓ | 34.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
| 21.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) | |
| 33.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))) | |
| 41.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) | |
| 61.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) | |
| 34.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) | |
| 42.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) | |
| 34.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
Compiled 2 849 to 876 computations (69.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(-.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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) x) (/.f64 (log.f64 x) x) (+.f64 (/.f64 (log.f64 x) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))) n)) (neg.f64 n)))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.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 x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) x)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 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)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
#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 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 15.0ms | x |
| 14.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 12.0ms | (/.f64 #s(literal 1 binary64) n) |
| 12.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.5% | 4 | x |
| 86.3% | 4 | n |
| 82.6% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 87.5% | 4 | (/.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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(-.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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) |
#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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 15.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(-.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 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x (/.f64 n (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.5% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) 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))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 36.0ms | (/.f64 #s(literal 1 binary64) n) |
| 9.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.9% | 5 | n |
| 84.9% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)) n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x n) n (*.f64 (*.f64 #s(literal 1/2 binary64) x) x)))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 (fma.f64 (+.f64 (/.f64 n x) #s(literal 1 binary64)) (/.f64 n x) (fma.f64 #s(literal -1/2 binary64) n #s(literal 1/2 binary64))) (*.f64 x x))) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (+.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (*.f64 x x)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 48.0ms | (/.f64 #s(literal 1 binary64) n) |
| 13.0ms | n |
| 9.0ms | x |
| 7.0ms | (-.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 |
|---|---|---|
| 72.0% | 2 | x |
| 73.2% | 3 | n |
| 73.2% | 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))) |
| 73.2% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| 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 |
|---|---|---|
| 72.1% | 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))) |
| 72.1% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (*.f64 (*.f64 x (/.f64 (/.f64 x n) n)) #s(literal 1/2 binary64)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 (/.f64 n #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n))) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) 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(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
2 calls:
| 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))) |
| 6.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 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))) |
| 73.6% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 16 to 12 computations (25% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 (/.f64 #s(approx (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) (*.f64 n n)) n) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (/ n (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x))) (/.f64 #s(literal 1 binary64) n)) (neg.f64 n))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
1 calls:
| 5.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) 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 (pow.f64 x #s(literal -1 binary64)) #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) 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(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
2 calls:
| 5.0ms | (/.f64 #s(literal 1 binary64) n) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.4% | 2 | x |
| 73.5% | 3 | (/.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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (fma.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n) #s(literal -1 binary64))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
1 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64)))))) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n)) |
4 calls:
| 36.0ms | (/.f64 #s(literal 1 binary64) n) |
| 3.0ms | n |
| 3.0ms | x |
| 3.0ms | (-.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 |
|---|---|---|
| 60.8% | 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))) |
| 61.1% | 2 | x |
| 62.1% | 5 | n |
| 62.1% | 5 | (/.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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x)) |
4 calls:
| 3.0ms | x |
| 3.0ms | n |
| 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 |
|---|---|---|
| 56.0% | 3 | n |
| 58.3% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 56.0% | 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))) |
| 56.5% | 2 | x |
Compiled 18 to 16 computations (11.1% saved)
Total -15.0b remaining (-40.7%)
Threshold costs -15b (-40.7%)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) #s(approx (/ (- 1 (/ 1/2 x)) n) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x))) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) x) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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(literal 1 binary64) (/.f64 x #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
4 calls:
| 91.0ms | x |
| 4.0ms | (/.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))) |
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.4% | 1 | n |
| 42.4% | 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))) |
| 42.4% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 42.4% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
| 0.0ms | 9.990834020154594e-69 | 1.360059441800403e-68 |
| 0.0ms | -3.832976412964314e-176 | -1.2362451294090247e-189 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
| 0.0ms | 9.990834020154594e-69 | 1.360059441800403e-68 |
| 0.0ms | -3.832976412964314e-176 | -1.2362451294090247e-189 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
| 0.0ms | 9.990834020154594e-69 | 1.360059441800403e-68 |
| 0.0ms | -3.832976412964314e-176 | -1.2362451294090247e-189 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
| 0.0ms | 9.990834020154594e-69 | 1.360059441800403e-68 |
| 0.0ms | -3.832976412964314e-176 | -1.2362451294090247e-189 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2236268926995433e+177 | 1.4422536832357302e+182 |
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2236268926995433e+177 | 1.4422536832357302e+182 |
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2236268926995433e+177 | 1.4422536832357302e+182 |
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2236268926995433e+177 | 1.4422536832357302e+182 |
| 0.0ms | 1.2863523902448647e-5 | 0.0015219863891652876 |
Compiled 14 to 14 computations (0% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 9.570835275572036e-6 | 2.4240081829810425 |
| 15.0ms | 40× | 2 | valid |
| 9.0ms | 49× | 1 | valid |
| 5.0ms | 55× | 0 | valid |
| 1.0ms | 8× | 0 | exit |
Compiled 412 to 265 computations (35.7% saved)
ival-pow: 17.0ms (68.2% of total)adjust: 3.0ms (12% of total)ival-div: 2.0ms (8% of total)ival-add: 1.0ms (4% of total)ival-sub: 1.0ms (4% 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 |
|---|---|---|
| 1.0ms | 9.570835275572036e-6 | 2.4240081829810425 |
Compiled 592 to 355 computations (40% saved)
| 1× | egg-herbie |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 142 | 1159 |
| 1 | 188 | 1159 |
| 2 | 269 | 1159 |
| 3 | 499 | 1159 |
| 4 | 1059 | 1154 |
| 5 | 2101 | 1153 |
| 6 | 3882 | 1149 |
| 7 | 6086 | 1149 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 #s(approx (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 #s(approx (- (/ 1/2 (* n n)) (/ 1/2 n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(approx (+ (* (+ (* (- (/ 1/2 (* n n)) (/ 1/2 n)) x) (/ 1 n)) x) 1) (/.f64 #s(approx (/ (+ (* (+ (* (+ (* -1/2 x) 1) x) n) n) (* (* 1/2 x) x)) n) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x n)) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000000014897961004148639782883989877166307744719285082625279704935632320527439752747814116816931205205569292567450867665619546366181138482232477674193077794720878428160 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))) (*.f64 (/.f64 #s(literal 1 binary64) n) #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))))))) |
(if (<=.f64 x #s(literal 1 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))) |
(if (<=.f64 x #s(literal 1 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))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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 (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -178220336625867/8911016831293350036408538292383381493932086928219843614412485386522021810954448020519360959604241015192660760885926576778688876408936402340337229140082449586429677098359892480630613656731648 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) n) x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4856672230564323/485667223056432267729865476705879726660601709763034880312953102434726071301302124544 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
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(if (<=.f64 x #s(literal 1 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))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))) |
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 (*.f64 x x) #s(literal -1/2 binary64))) n))) |
(if (<=.f64 x #s(literal 1 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))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) n)) x))) |
(if (<=.f64 x #s(literal 1 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (/ (pow x (/ 1 n)) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (/ (pow x (/ 1 n)) n)) (/.f64 (-.f64 #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 (/ (pow x (/ 1 n)) x) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (pow.f64 x #s(literal -1 binary64))) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1455 |
| 1 | 761 | 1349 |
| 2 | 2161 | 1275 |
| 3 | 7630 | 1269 |
| 0 | 8915 | 1165 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 63 | 31 |
| 2 | 407 | 31 |
| 3 | 4335 | 31 |
| 0 | 8424 | 27 |
| 0 | 52 | 390 |
| 0 | 79 | 384 |
| 1 | 346 | 366 |
| 2 | 2929 | 366 |
| 0 | 9566 | 342 |
| 0 | 648 | 3533 |
| 1 | 1908 | 3287 |
| 2 | 5661 | 3234 |
| 0 | 8634 | 3042 |
| 0 | 32 | 284 |
| 0 | 56 | 272 |
| 1 | 252 | 256 |
| 2 | 2138 | 256 |
| 0 | 8308 | 256 |
| 0 | 60 | 445 |
| 0 | 93 | 440 |
| 1 | 406 | 410 |
| 2 | 3402 | 410 |
| 0 | 9083 | 391 |
| 0 | 580 | 3104 |
| 1 | 1716 | 2932 |
| 2 | 4898 | 2760 |
| 0 | 8158 | 2565 |
| 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× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2 018 to 717 computations (64.5% saved)
Compiled 2 344 to 300 computations (87.2% saved)
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