2nthrt (problem 3.4.6)
Time bar (total: 24.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 7 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 8 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 9 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 10 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 11 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 10.9s | 5 013× | 5 | exit |
| 1.7s | 2 839× | 2 | valid |
| 1.1s | 2 897× | 1 | valid |
| 564.0ms | 2 281× | 1 | exit |
| 333.0ms | 2 520× | 0 | valid |
| 205.0ms | 1 542× | 0 | exit |
| 40.0ms | 9× | 4 | exit |
| 3.0ms | 3× | 2 | exit |
| 1.0ms | 2× | 3 | exit |
ival-pow: 10.8s (78.2% of total)adjust: 1.5s (10.6% of total)ival-div: 823.0ms (6% of total)ival-sub: 389.0ms (2.8% of total)ival-add: 293.0ms (2.1% of total)ival-true: 16.0ms (0.1% of total)exact: 12.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 122 | 0 | - | 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))) |
| 29 | 29 | (7.739295795518185e-173 -3.1419329385815285e-145) | 0 | - | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 1 | 0 | - | 0 | - | (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 | 122 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 58 | 0 |
pow.f64 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | sensitivity | 1 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 43 | 77 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 43 | 0 | 77 |
| number | freq |
|---|---|
| 0 | 77 |
| 1 | 178 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 93.0ms | 236× | 1 | valid |
| 74.0ms | 172× | 2 | valid |
| 9.0ms | 104× | 0 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-pow: 112.0ms (74.5% of total)adjust: 15.0ms (10% of total)ival-div: 11.0ms (7.3% of total)ival-add: 5.0ms (3.3% of total)ival-sub: 5.0ms (3.3% 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 |
|---|---|---|
| ▶ | 51.5% | (-.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 | 0.03541441090022567 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 6.126960641097575 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 27.99137707009565 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 37.0ms | 86× | 2 | valid |
| 35.0ms | 118× | 1 | valid |
| 4.0ms | 52× | 0 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-pow: 42.0ms (66.2% of total)adjust: 11.0ms (17.3% of total)ival-div: 4.0ms (6.3% of total)ival-add: 3.0ms (4.7% of total)ival-sub: 3.0ms (4.7% 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 | |
|---|---|---|---|---|
| 27.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 26.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 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)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 411 | 11 | 422 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 412 | 11 | 423 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 14.2% | (-.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))) |
| 19.3% | (-.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))) | |
| 28.3% | (-.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))) | |
| ▶ | 34.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 32.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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)) | |
| 37.7% | #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)) | |
| 41.4% | #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 (-.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)) | |
| ▶ | 60.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| ▶ | 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| ▶ | 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
Compiled 750 to 436 computations (41.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 3 | (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))) | |
| cost-diff | 0 | (expm1.f64 (/.f64 (log.f64 x) n)) | |
| cost-diff | 0 | (/.f64 x n) | |
| cost-diff | 0 | (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) 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)) | |
| 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 | (log1p.f64 x) | |
| cost-diff | 0 | (-.f64 (log1p.f64 x) (log.f64 x)) | |
| cost-diff | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 423 |
| 0 | 75 | 423 |
| 1 | 113 | 423 |
| 2 | 196 | 423 |
| 3 | 517 | 423 |
| 4 | 1494 | 423 |
| 5 | 5268 | 418 |
| 0 | 8579 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
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 (/.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 |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
x |
n |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
(-.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))) |
#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))) |
(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)) |
(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)) |
(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 (/.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 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) |
(/.f64 #s(literal 1/3 binary64) n) |
#s(literal 1/3 binary64) |
n |
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#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 #s(literal 1/2 binary64) n) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/.f64 #s(literal 1 binary64) n) |
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 (/.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 |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
x |
n |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
(-.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 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) n) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) x (/.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 (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))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) n) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) |
(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)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) n) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) x (/.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 (/.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)) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) n) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n))) x (/.f64 #s(literal 1 binary64) n)) |
(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))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) n) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/2 binary64) n))) |
(-.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 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) |
(/.f64 #s(literal 1/3 binary64) n) |
#s(literal 1/3 binary64) |
n |
(/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
#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 #s(literal 1/2 binary64) n) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n))) |
(/.f64 #s(literal 1/2 binary64) n) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.892413230550077 | (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)) | |
| accuracy | 13.127670102683785 | (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))) | |
| accuracy | 27.99137707009565 | (-.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))) | |
| accuracy | 30.887917631684317 | #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))) | |
| accuracy | 0.014872480164287516 | (expm1.f64 (/.f64 (log.f64 x) n)) | |
| accuracy | 0.015625 | (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 x) n) | |
| accuracy | 32.883382551905946 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) | |
| accuracy | 0.015625 | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) | |
| accuracy | 0.03541441090022567 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 0.109375 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) | |
| accuracy | 25.187520244046183 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) n) | |
| accuracy | 0.03541441090022567 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 18.06378698202506 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 27.99137707009565 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.2265625 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| accuracy | 25.89305115184166 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| accuracy | 28.158869081282575 | (-.f64 (log1p.f64 x) (log.f64 x)) |
| 166.0ms | 105× | 2 | valid |
| 122.0ms | 143× | 1 | valid |
| 3.0ms | 8× | 0 | valid |
Compiled 339 to 39 computations (88.5% saved)
ival-add: 57.0ms (23.1% of total)ival-pow: 56.0ms (22.7% of total)ival-div: 45.0ms (18.2% of total)adjust: 34.0ms (13.8% of total)ival-sub: 12.0ms (4.9% of total)ival-log: 11.0ms (4.5% of total)ival-mult: 11.0ms (4.5% of total)const: 10.0ms (4.1% of total)ival-log1p: 8.0ms (3.2% of total)ival-expm1: 3.0ms (1.2% 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 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
(-.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)) |
(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 (/.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) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(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 #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))) |
#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))) |
(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)) |
(log.f64 x) |
(/.f64 (log.f64 x) n) |
(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)) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(exp (/ (log x) n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(/ x n) |
(- (exp (/ (log x) n)) 1) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) |
(log x) |
(/ (log x) n) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x))) |
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* -1 (/ (log (/ 1 x)) n)) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)))) |
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) |
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n) |
(* 1/6 (/ x (pow n 3))) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3)) |
(* 1/6 (/ (pow x 3) (pow n 3))) |
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (+ (/ 1 x) (/ (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) (/ (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))))) |
(/ (- x (log x)) n) |
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n) |
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n) |
(/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) 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) |
(/ (- (* 1/3 x) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n) |
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* -1 (/ (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 x) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) 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 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (pow (log x) 2))) n))) n)) |
(* -1 (/ (+ 1/2 (* -1/3 x)) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n)) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n))) |
| 46.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n))) |
| 27.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n))) |
| 22.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n))) |
| 19.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (log (+ 1 x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (pow x (/ 1 n)) x) n) (/ (pow x (/ 1 n)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (/ x n) (- (exp (/ (log x) n)) 1)) (/ x n) (- (exp (/ (log x) n)) 1) (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (log x) (/ (log x) n) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 685 | 3762 |
| 1 | 2070 | 3576 |
| 2 | 6219 | 3445 |
| 0 | 8287 | 3224 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(exp (/ (log x) n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) x) |
(/ x n) |
(- (exp (/ (log x) n)) 1) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) |
(log x) |
(/ (log x) n) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x))) |
(- (exp (* -1 (/ (log (/ 1 x)) n))) 1) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* -1 (/ (log (/ 1 x)) n)) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x) |
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)))) |
(- (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) |
(* -1 (* x (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n) |
(* 1/6 (/ x (pow n 3))) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (* -1/2 x)))) (pow n 3)) |
(/ (+ (* 1/6 x) (* n (+ 1/2 (+ (* -1/2 x) (* n (- (* 1/3 x) 1/2)))))) (pow n 3)) |
(* 1/6 (/ (pow x 3) (pow n 3))) |
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (+ (/ 1 x) (/ (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) (/ (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))))) |
(/ (- x (log x)) n) |
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n) |
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n) |
(/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) 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) |
(/ (- (* 1/3 x) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/3 x) (* 1/2 (/ 1 n)))) 1/2) n) |
(/ (- (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (+ (* 1/3 x) (* 1/2 (/ 1 n))))) 1/2) n) |
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* -1 (/ (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 x) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) 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 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (pow (log x) 2))) n))) n)) |
(* -1 (/ (+ 1/2 (* -1/3 x)) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n)) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
| 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 (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 (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(* -1 (/ (log x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(fma.f64 (*.f64 x (/.f64 x n)) #s(literal -1/2 binary64) (/.f64 (-.f64 x (log.f64 x)) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) n) (/.f64 (-.f64 x (log.f64 x)) n)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(- x (log x)) |
(-.f64 x (log.f64 x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
x |
(* x (+ 1 (* -1/2 x))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(*.f64 (fma.f64 (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) |
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)) |
(exp (/ (log x) n)) |
(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) |
(/ x n) |
(/.f64 x n) |
(- (exp (/ (log x) n)) 1) |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n))) |
(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))) |
(log x) |
(log.f64 x) |
(/ (log x) n) |
(/.f64 (log.f64 x) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (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)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
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(/.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 (/ (+ (* -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 (/ (+ (* -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 (/ (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 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal -1/6 binary64) (*.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) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.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 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) x) #s(literal 1/6 binary64) (*.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 x) (* -1 (log x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (-.f64 (log.f64 x) x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log.f64 x) (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64))) n) x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64))) n) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (-.f64 x (log.f64 x))) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)) |
(/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) #s(literal -1 binary64) (log.f64 x)) n) |
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)) |
(/.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) |
(* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (pow (log x) 3)) (* -1/24 (/ (pow (log x) 4) n))) n)) (* 1/2 (pow (log x) 2))) n))) n)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal -1/24 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 n))) n) (log.f64 x)) n) |
(* -1 (/ (+ 1/2 (* -1/3 x)) n)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (neg.f64 n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (* -1/2 x)) n)) (* -1/3 x))) n)) |
(/.f64 (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) (neg.f64 n)) |
(* -1 (/ (+ 1/2 (+ (* -1 (/ (+ 1/2 (+ (* -1/2 x) (* 1/6 (/ x n)))) n)) (* -1/3 x))) n)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) n)) (neg.f64 n)) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (*.f64 (*.f64 x x) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) (neg.f64 n)))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)))) (neg.f64 n))) n)) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(/.f64 (fma.f64 x (fma.f64 #s(literal -1/3 binary64) x (-.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)))) n)) (neg.f64 n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 43 | 333 |
| 0 | 75 | 333 |
| 1 | 361 | 309 |
| 2 | 3526 | 299 |
| 0 | 9689 | 294 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
(-.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)) |
(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 (/.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) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
(expm1.f64 (/.f64 (log.f64 x) n)) |
(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 #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))) |
#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))) |
(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)) |
(log.f64 x) |
(/.f64 (log.f64 x) n) |
(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)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(pow.f64 (/.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 n (log.f64 x)) #s(literal -2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n (log.f64 x)) #s(literal -3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 n (log.f64 x)) #s(literal -2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (neg.f64 (neg.f64 (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x))))) (neg.f64 (*.f64 (neg.f64 n) n))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x)))) (*.f64 (neg.f64 n) n)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n)) (neg.f64 (*.f64 n (/.f64 n (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (*.f64 (log.f64 x) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 1 binary64))) n) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 (log.f64 x) #s(literal 1 binary64))) n) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -1 binary64)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1 binary64)) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))) |
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(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x)) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x (pow.f64 n #s(literal -1 binary64))) |
(fma.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x)) |
(fma.f64 x (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (pow.f64 n #s(literal -1 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x) #s(literal 2 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x (neg.f64 (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 n #s(literal -2 binary64)) (fma.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x (neg.f64 (pow.f64 n #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x) (pow.f64 n #s(literal -1 binary64))) |
(+.f64 (pow.f64 n #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 (pow.f64 n #s(literal -3 binary64)) #s(literal 1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) x)) |
Compiled 36 465 to 3 384 computations (90.7% saved)
32 alts after pruning (28 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 834 | 25 | 859 |
| Fresh | 3 | 3 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 838 | 32 | 870 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 22.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 28.3% | (-.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))) | |
| ✓ | 34.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 37.7% | #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)) | |
| 60.4% | #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)) | |
| 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) | |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n)) | |
| 60.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) | |
| ✓ | 60.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))) | |
| 46.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 37.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) n)) | |
| ✓ | 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 60.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.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)))) n)) | |
| ▶ | 61.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| ▶ | 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) | |
| 29.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) | |
| ▶ | 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
| 30.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| 30.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| 19.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)))))) | |
| 61.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) | |
| ✓ | 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
| 61.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n))) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) | |
| 29.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| ▶ | 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
Compiled 1 906 to 1 164 computations (38.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (log.f64 x) n) | |
| cost-diff | 0 | (exp.f64 (/.f64 (log.f64 x) n)) | |
| cost-diff | 0 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 0 | (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) | |
| cost-diff | 0 | (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x) | |
| cost-diff | 0 | #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (log (+ 1 x)) (log 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 (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 0 | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 651 |
| 0 | 108 | 651 |
| 1 | 167 | 651 |
| 2 | 302 | 651 |
| 3 | 718 | 647 |
| 4 | 1890 | 647 |
| 5 | 4822 | 639 |
| 0 | 8257 | 621 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) |
(-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) |
(/.f64 #s(literal -1/2 binary64) n) |
#s(literal -1/2 binary64) |
n |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) n) x) |
(/.f64 #s(literal 1/4 binary64) n) |
#s(literal 1/4 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) n) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
x |
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
n |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(*.f64 n x) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) x) (/.f64 #s(literal -1 binary64) n)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) x) (/.f64 #s(literal -1 binary64) n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x) |
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) x) (/.f64 #s(literal -1 binary64) n)) x) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) |
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) x) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) x) |
(-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) |
(-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x)) |
(/.f64 #s(literal -1/2 binary64) n) |
#s(literal -1/2 binary64) |
n |
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) x) |
(-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) |
(-.f64 (/.f64 #s(literal -1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 n x))) |
(/.f64 (/.f64 #s(literal 1/4 binary64) n) x) |
(/.f64 #s(literal 1/4 binary64) n) |
#s(literal 1/4 binary64) |
x |
(/.f64 #s(literal 1/3 binary64) n) |
#s(literal 1/3 binary64) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) |
#s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) |
#s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) n)) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) |
(/.f64 (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) n) |
(fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x #s(literal 1 binary64)) |
x |
(+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1/2 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) |
(fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) |
#s(literal -1/2 binary64) |
#s(literal 1/2 binary64) |
n |
(fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) |
#s(literal 1/3 binary64) |
#s(literal 1 binary64) |
(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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(*.f64 n x) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03713982281327616 | (exp.f64 (/.f64 (log.f64 x) n)) | |
| accuracy | 0.23046875 | (/.f64 (log.f64 x) n) | |
| accuracy | 4.242529416282074 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) | |
| accuracy | 25.187520244046183 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| accuracy | 4.229743460056715 | (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) | |
| accuracy | 6.112354512633115 | #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) | |
| accuracy | 27.99137707009565 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 30.887917631684317 | #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) | |
| accuracy | 0.16796875 | (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) | |
| accuracy | 0.38671875 | (/.f64 #s(literal 1/3 binary64) n) | |
| accuracy | 25.89305115184166 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) | |
| accuracy | 33.250575173554765 | #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.2265625 | (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n) | |
| accuracy | 25.89305115184166 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) | |
| accuracy | 32.217180152101875 | #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) | |
| accuracy | 0.01171875 | (/.f64 (+.f64 #s(literal 1 binary64) x) x) | |
| accuracy | 0.2265625 | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) | |
| accuracy | 25.89305115184166 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) | |
| accuracy | 28.46175669844041 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
| 374.0ms | 105× | 2 | valid |
| 192.0ms | 143× | 1 | valid |
| 4.0ms | 8× | 0 | valid |
Compiled 424 to 62 computations (85.4% saved)
ival-pow: 73.0ms (22.2% of total)adjust: 66.0ms (20% of total)ival-div: 55.0ms (16.7% of total)ival-mult: 34.0ms (10.3% of total)ival-log: 26.0ms (7.9% of total)ival-add: 26.0ms (7.9% of total)ival-sub: 17.0ms (5.2% of total)const: 16.0ms (4.9% of total)ival-log1p: 13.0ms (3.9% of total)ival-exp: 4.0ms (1.2% of total)exact: 1.0ms (0.3% 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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 #s(literal 1/3 binary64) n) |
(/.f64 (/.f64 #s(literal 1/4 binary64) n) x) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (+ 1 x) x) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/4 (* n (pow x 4))) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ -1/4 (* n (pow x 3))) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
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)) |
(+ (* 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)) |
(/ (log x) n) |
(/ 1/4 (* n x)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 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)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(+ 1 (/ 1 x)) |
(- (/ 1 n) (* 1/2 (/ 1 (* n x)))) |
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) |
(- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* -1 (/ (log (/ 1 x)) n)) |
(/ (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) n) |
(* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (* 1/3 (/ 1 n))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 2))))) |
(* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 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 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n)) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(* -1 (/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/3)) n)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) (/ 1/2 (* (pow n 2) x))) (* 1/2 (/ 1 (* n x))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x))) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (* n x)) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) n) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/6 (/ (pow x 3) (pow n 3))) |
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ 1/3 n) |
(/ (* x (+ 1/2 (* -1/2 x))) (pow n 2)) |
(/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(/ (+ (/ 1 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 (/ (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 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (* -1 (/ (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 (/ (+ (* -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 (* x (- (* 1/3 x) 1/2)))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 133.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ 1/3 n) (/ (/ 1/4 n) x) (/ (+ (* x (+ (/ (+ (* -1/2 x) 1/2) n) (+ (* 1/3 x) -1/2))) 1) n)) |
| 120.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ 1/3 n) (/ (/ 1/4 n) x) (/ (+ (* x (+ (/ (+ (* -1/2 x) 1/2) n) (+ (* 1/3 x) -1/2))) 1) n)) |
| 60.0ms | n | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ 1/3 n) (/ (/ 1/4 n) x) (/ (+ (* x (+ (/ (+ (* -1/2 x) 1/2) n) (+ (* 1/3 x) -1/2))) 1) n)) |
| 44.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ 1/3 n) (/ (/ 1/4 n) x) (/ (+ (* x (+ (/ (+ (* -1/2 x) 1/2) n) (+ (* 1/3 x) -1/2))) 1) n)) |
| 14.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (log (/ (+ 1 x) x)) n) (log (/ (+ 1 x) x)) (/ (+ 1 x) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ 1 x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ (* (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) x) 1) (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ 1/3 n) (/ (/ 1/4 n) x) (/ (+ (* x (+ (/ (+ (* -1/2 x) 1/2) n) (+ (* 1/3 x) -1/2))) 1) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 625 | 3373 |
| 1 | 1908 | 3108 |
| 2 | 5884 | 2983 |
| 0 | 8203 | 2783 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (+ 1 x) x) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/4 (* n (pow x 4))) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/ -1/4 (* n (pow x 3))) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
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)) |
(+ (* 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)) |
(/ (log x) n) |
(/ 1/4 (* n x)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 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)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(+ 1 (/ 1 x)) |
(- (/ 1 n) (* 1/2 (/ 1 (* n x)))) |
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) |
(- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* -1 (/ (log (/ 1 x)) n)) |
(/ (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) n) |
(* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (* 1/3 (/ 1 n))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 2))))) |
(* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 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 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) (/ 1 n)) |
(+ (* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(* -1 (/ (* (pow x 2) (- (* 1/2 (/ 1 n)) 1/3)) n)) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) (/ 1/2 (* (pow n 2) x))) (* 1/2 (/ 1 (* n x))))) |
(* (pow x 2) (+ (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ 1 n)) 1/2) n)) (/ 1 (* n x))) x)) (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) (* n x)) |
(/ (- (+ 1 (* 1/3 (/ 1 (pow x 2)))) (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x)))) n) |
(exp (/ (log (+ 1 x)) n)) |
(* 1/6 (/ (pow x 3) (pow n 3))) |
(/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ 1/3 n) |
(/ (* x (+ 1/2 (* -1/2 x))) (pow n 2)) |
(/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
(+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
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(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(/ (+ (/ 1 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 (/ (log x) n)) |
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(* -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 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(* -1 (/ (- (* -1 (/ (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 (/ (+ (* -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 (* x (- (* 1/3 x) 1/2)))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n)) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 (/.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 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) 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)))) |
(* -1 (/ (log x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) (/.f64 x n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ x (* -1 (log x))) |
(-.f64 x (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(- x (log x)) |
(-.f64 x (log.f64 x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(/ -1/4 (* n (pow x 4))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n)) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 4)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/.f64 (fma.f64 (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) n)) (pow.f64 x #s(literal 4 binary64))) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 4)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x n) (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/4 binary64) n)) (pow.f64 x #s(literal 4 binary64))) |
(/ -1/4 (* n (pow x 3))) |
(/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n)) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/.f64 (fma.f64 (/.f64 x n) (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/3 binary64)) (/.f64 #s(literal -1/4 binary64) n)) (pow.f64 x #s(literal 3 binary64))) |
(/ (- (* x (+ (* x (- (/ x n) (* 1/2 (/ 1 n)))) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/.f64 (fma.f64 (fma.f64 (/.f64 x n) (+.f64 x #s(literal -1/2 binary64)) (/.f64 #s(literal 1/3 binary64) n)) x (/.f64 #s(literal -1/4 binary64) n)) (pow.f64 x #s(literal 3 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 (/.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 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) 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)) |
(+ (* 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 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)) x (/.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)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (log x) n) |
(/.f64 (log.f64 x) n) |
(/ 1/4 (* n x)) |
(/.f64 (/.f64 #s(literal 1/4 binary64) n) x) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) 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)) |
(/ (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 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) 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))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #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 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ 1 (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/.f64 (+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) x) |
(+ 1 (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) |
(- (/ 1 n) (* 1/2 (/ 1 (* n x)))) |
(-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) |
(- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) |
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)))) |
(- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) |
(+.f64 (fma.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) x) (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) n) x)) (/.f64 #s(literal 1 binary64) n)) |
(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 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) x) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 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))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n)) x) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) x) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (+.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) x)) (/.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) x)) (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x))) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 (*.f64 x x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) n))) x) x) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) x) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) n) x))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (*.f64 x x)) |
(* -1 (/ (log (/ 1 x)) n)) |
(/.f64 (log.f64 x) n) |
(/ (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) n) |
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(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)))) |
(fma.f64 x (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) n) x (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n)) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (/ (pow x 3) (pow n 3))) (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))) |
(fma.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 x (fma.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) n) x (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n)) #s(literal 1 binary64))) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)))) n) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) 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) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x)))) n) |
(+ 1 (/ (log x) n)) |
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (fma.f64 (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) n) #s(literal 1/2 binary64) (+.f64 (/.f64 (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 #s(literal -1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (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 (log.f64 x) (+.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) (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 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n) (log1p.f64 x))) (neg.f64 n)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) (* n x))) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 n) x)) |
(* -1 (/ (- (+ (* 1/4 (/ 1 (pow x 3))) (* 1/2 (/ 1 x))) (+ 1 (* 1/3 (/ 1 (pow x 2))))) n)) |
(/.f64 (+.f64 (fma.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) #s(literal -1 binary64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log1p.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+.f64 (/.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 (/ (* x (- (* x (+ 1/2 (* -1/3 x))) 1)) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n)) #s(literal -1 binary64))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) n)) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)))) (neg.f64 n))) n)) |
(* -1 (/ (- (* x (+ 1/2 (* -1/3 x))) 1) n)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(/.f64 (fma.f64 x (-.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n)) #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) 1) n)) |
(/.f64 (-.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) x (*.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/6 binary64) n)))) n)) (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 (/ (+ (* -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 (/ (+ (* -1 (+ 1 (* x (- (* 1/3 x) 1/2)))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n)) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 71 | 515 |
| 0 | 108 | 510 |
| 1 | 524 | 502 |
| 2 | 5479 | 502 |
| 0 | 8347 | 466 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal 1 binary64) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x) |
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64)) |
#s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 #s(literal 1/3 binary64) n) |
(/.f64 (/.f64 #s(literal 1/4 binary64) n) x) |
(/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) n) |
(/.f64 (-.f64 (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n)) (*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 n (log.f64 x)) #s(literal -3 binary64))) (fma.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 n))) |
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(/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64))) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64)) n) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64)))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64))) n)) |
(neg.f64 (/.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64)) (neg.f64 n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (fma.f64 (fma.f64 #s(literal 1/3 binary64) x (+.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n))) x #s(literal 1 binary64)))) #s(literal -1 binary64))) |
Compiled 28 895 to 2 963 computations (89.7% saved)
39 alts after pruning (32 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 576 | 11 | 587 |
| Fresh | 2 | 21 | 23 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 580 | 39 | 619 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 19.3% | (-.f64 #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 (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 22.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 28.3% | (-.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))) | |
| ✓ | 34.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 37.7% | #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)) |
| 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) | |
| 60.4% | #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)) | |
| ▶ | 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n)) | |
| 60.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) | |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))) | |
| 46.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 37.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) n)) | |
| ✓ | 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 60.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.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)))) n)) | |
| ✓ | 61.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| ✓ | 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) | |
| ▶ | 29.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) | |
| ✓ | 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
| 30.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| ▶ | 30.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
| 40.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) | |
| 19.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)))))) | |
| 61.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) | |
| 41.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) | |
| ✓ | 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
| ▶ | 61.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
| 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) | |
| 27.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) | |
| 29.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) | |
| 29.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) | |
| 27.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
Compiled 2 342 to 1 442 computations (38.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) | |
| 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 | 7 | (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 | (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) | |
| cost-diff | 0 | (neg.f64 (log.f64 x)) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) | |
| cost-diff | 0 | #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| cost-diff | 0 | (-.f64 (log.f64 x) (log1p.f64 x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| cost-diff | 1 | (/.f64 #s(literal 1 binary64) (neg.f64 n)) | |
| cost-diff | 2 | (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 374 |
| 0 | 73 | 366 |
| 1 | 110 | 361 |
| 2 | 187 | 361 |
| 3 | 443 | 359 |
| 4 | 1188 | 356 |
| 5 | 2341 | 356 |
| 6 | 3733 | 344 |
| 7 | 5291 | 338 |
| 8 | 6691 | 338 |
| 9 | 7597 | 338 |
| 10 | 7940 | 338 |
| 0 | 8018 | 338 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(log.f64 x) |
x |
(log1p.f64 x) |
(/.f64 #s(literal 1 binary64) (neg.f64 n)) |
#s(literal 1 binary64) |
(neg.f64 n) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(-.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 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
(/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) |
(pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal 2 binary64) |
(*.f64 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)) |
(/.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) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(log.f64 x) |
x |
(log1p.f64 x) |
(/.f64 #s(literal 1 binary64) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) n) |
#s(literal 1 binary64) |
(neg.f64 n) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
(-.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 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 #s(literal 1/2 binary64) n) |
#s(literal 1/2 binary64) |
n |
#s(literal 2 binary64) |
(*.f64 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))) (/.f64 (*.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)) 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 (/.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)) 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 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) 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) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (/.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 | 0.11328125 | (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) | |
| accuracy | 9.92572758486175 | (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 | 25.948107497212757 | #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 | 0.0 | (*.f64 n x) | |
| accuracy | 0.03541441090022567 | (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) | |
| accuracy | 4.242529416282074 | (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) | |
| accuracy | 25.187520244046183 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.19140625 | (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) | |
| accuracy | 19.034687972124637 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) | |
| accuracy | 30.56816615291156 | #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) | |
| accuracy | 0.0625 | (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) | |
| accuracy | 0.19140625 | (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) | |
| accuracy | 19.034687972124637 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| accuracy | 26.253812760978825 | #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) | |
| accuracy | 0.0 | (log.f64 x) | |
| accuracy | 0.28125 | (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) | |
| accuracy | 19.034687972124637 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| accuracy | 28.158869081282575 | (-.f64 (log.f64 x) (log1p.f64 x)) |
| 189.0ms | 105× | 2 | valid |
| 77.0ms | 117× | 1 | valid |
| 11.0ms | 29× | 0 | exit |
| 1.0ms | 5× | 0 | valid |
Compiled 290 to 37 computations (87.2% saved)
ival-pow: 51.0ms (30.2% of total)ival-div: 45.0ms (26.6% of total)adjust: 23.0ms (13.6% of total)ival-mult: 12.0ms (7.1% of total)ival-sub: 11.0ms (6.5% of total)ival-log: 10.0ms (5.9% of total)ival-log1p: 7.0ms (4.1% of total)ival-add: 5.0ms (3% of total)ival-neg: 3.0ms (1.8% 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 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(/.f64 #s(literal 1 binary64) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
(/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) |
(pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) |
(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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(log.f64 x) |
(*.f64 n x) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
| Outputs |
|---|
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(- 1 (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))) |
(log x) |
(+ (log x) (* -1 x)) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/2 (pow x 2)) |
(/ (- x 1/2) (pow x 2)) |
(/ (exp (/ (log x) n)) (* n x)) |
(exp (/ (log x) 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)) |
(/ (exp (/ (log x) n)) x) |
(* n x) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (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 x) |
(/ (- (* 1/2 (/ 1 x)) 1) x) |
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(log (/ 1 x)) |
(exp (* -1 (/ (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)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(* -1 (log (/ 1 x))) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(exp (/ (+ (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)))) n)) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (/ (- (log x) (log (+ 1 x))) n)) |
(/ -1 n) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ 1 n) |
(* 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)) |
(/ 1/2 (pow n 2)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(/ (+ (/ 1 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 |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (- 1 (* 1/2 (/ 1 x))) n) |
(/ (- (+ 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 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 (/ (- (* -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 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -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)) |
(+ (* -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)) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 48.0ms | n | @ | 0 | ((* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/ 1 (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- 1 (/ 1/2 x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (* (/ 1/2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (* (/ 1/2 n) 2)) (* n x)) (pow x (* (/ 1/2 n) 2)) (+ (* (/ (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) (/ (pow x (/ 1 n)) x) (log x) (* n x) (/ 1/2 (* n n))) |
| 35.0ms | n | @ | -inf | ((* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/ 1 (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- 1 (/ 1/2 x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (* (/ 1/2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (* (/ 1/2 n) 2)) (* n x)) (pow x (* (/ 1/2 n) 2)) (+ (* (/ (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) (/ (pow x (/ 1 n)) x) (log x) (* n x) (/ 1/2 (* n n))) |
| 21.0ms | n | @ | inf | ((* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/ 1 (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- 1 (/ 1/2 x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (* (/ 1/2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (* (/ 1/2 n) 2)) (* n x)) (pow x (* (/ 1/2 n) 2)) (+ (* (/ (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) (/ (pow x (/ 1 n)) x) (log x) (* n x) (/ 1/2 (* n n))) |
| 14.0ms | x | @ | inf | ((* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/ 1 (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- 1 (/ 1/2 x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (* (/ 1/2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (* (/ 1/2 n) 2)) (* n x)) (pow x (* (/ 1/2 n) 2)) (+ (* (/ (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) (/ (pow x (/ 1 n)) x) (log x) (* n x) (/ 1/2 (* n n))) |
| 14.0ms | x | @ | -inf | ((* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/ 1 (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (log x) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (/ (- 1 (/ 1/2 x)) x) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (log (+ 1 x)) (log x)) n) (- (log (+ 1 x)) (log x)) (neg (log x)) (* (/ 1/2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (pow x (* (/ 1/2 n) 2)) (* n x)) (pow x (* (/ 1/2 n) 2)) (+ (* (/ (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) (/ (pow x (/ 1 n)) x) (log x) (* n x) (/ 1/2 (* n n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 2824 |
| 1 | 1808 | 2680 |
| 2 | 5342 | 2632 |
| 0 | 8172 | 2500 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(- 1 (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))) |
(log x) |
(+ (log x) (* -1 x)) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ -1/2 (pow x 2)) |
(/ (- x 1/2) (pow x 2)) |
(/ (exp (/ (log x) n)) (* n x)) |
(exp (/ (log x) 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)) |
(/ (exp (/ (log x) n)) x) |
(* n x) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ (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 x) |
(/ (- (* 1/2 (/ 1 x)) 1) x) |
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(log (/ 1 x)) |
(exp (* -1 (/ (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)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(* -1 (log (/ 1 x))) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x)) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(exp (/ (+ (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)))) n)) x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (/ (- (log x) (log (+ 1 x))) n)) |
(/ -1 n) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ 1 n) |
(* 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)) |
(/ 1/2 (pow n 2)) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(/ (+ (/ 1 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 |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(/ (- 1 (* 1/2 (/ 1 x))) n) |
(/ (- (+ 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 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 (/ (- (* -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 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) n)) |
(* -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)) |
(+ (* -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)) |
| Outputs |
|---|
(* -1 (/ (log x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 x n) (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 x n) (/.f64 #s(literal -1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (/.f64 (neg.f64 (log.f64 x)) n)) |
(- 1 (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) 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 (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 (/.f64 #s(literal 1/2 binary64) n) n)) x (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) 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)))) |
(log x) |
(log.f64 x) |
(+ (log x) (* -1 x)) |
(-.f64 (log.f64 x) x) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal -1 binary64)) x (log.f64 x)) |
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/2 binary64)) x #s(literal -1 binary64)) x (log.f64 x)) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(- x (log x)) |
(-.f64 x (log.f64 x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(/ -1/2 (pow x 2)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) x) x) |
(/ (- x 1/2) (pow x 2)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) 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) n) (/.f64 #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) n) (/.f64 #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 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n)) x) 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)) (pow x 2)) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))) (*.f64 x x)) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(* n x) |
(*.f64 n x) |
(/ 1 (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x) n) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) (/.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) n))) 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) n) (/.f64 #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 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 x x)) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #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 (/.f64 #s(literal 1/2 binary64) n) n)) (*.f64 x x))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ (- (* 1/2 (/ 1 x)) 1) x) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) |
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(log (/ 1 x)) |
(neg.f64 (log.f64 x)) |
(exp (* -1 (/ (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) |
(+ (/ (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) n) (/.f64 #s(literal 1/2 binary64) n)) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(/.f64 (/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x) n) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/3 binary64) n) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal 1 binary64) n)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) 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) 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 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) x)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n)))) x) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) |
(* -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 (/.f64 #s(literal 1/2 binary64) n) n) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (fma.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) n) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))))) (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)) (neg.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))) 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) |
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) |
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(/.f64 (/.f64 (-.f64 x #s(literal 1/2 binary64)) x) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x) |
(* -1 (+ (log -1) (* -1 (log (/ -1 x))))) |
(-.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal -1 binary64))) |
(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)) |
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(/.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 (-.f64 x #s(literal 1/2 binary64)) x) x) n) |
(* -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 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1/2 binary64) 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 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) x) #s(literal 1/4 binary64) (/.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)) |
(+ (* -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 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal 1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) x) #s(literal 1/6 binary64)) n)) n) (/.f64 (log.f64 x) x)) n) (/.f64 #s(literal 1 binary64) x)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 310 |
| 0 | 73 | 299 |
| 1 | 295 | 281 |
| 2 | 2361 | 279 |
| 0 | 9832 | 279 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n))) |
(/.f64 #s(literal 1 binary64) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
#s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
(/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n) |
#s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
(/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x)) |
(pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) |
(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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(log.f64 x) |
(*.f64 n x) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (log1p.f64 x) (log.f64 x)) #s(literal -1 binary64)) n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (pow.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (/.f64 (pow.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) (/.f64 (pow.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) n)) |
(*.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #s(literal -1 binary64)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) #s(literal 1 binary64)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (log.f64 x) (log1p.f64 x))) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (-.f64 (*.f64 (*.f64 (neg.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))) (*.f64 (neg.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))) (*.f64 (/.f64 (log.f64 x) n) (*.f64 (neg.f64 (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 (log1p.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n) (-.f64 (*.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 (log1p.f64 x))) (*.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 (log1p.f64 x)))) (*.f64 (/.f64 (log.f64 x) n) (*.f64 (pow.f64 n #s(literal -1 binary64)) (neg.f64 (log1p.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (log1p.f64 x)))) n) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64)))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64))) n) |
(/.f64 (neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64))) n) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 n (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (neg.f64 (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 n (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (*.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (log1p.f64 x))) n) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 n #s(literal -1 binary64))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (pow.f64 n #s(literal -1 binary64))) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) #s(literal -1 binary64)) n) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 1 binary64)) n) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 n (fma.f64 (log1p.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))) |
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(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 (/.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 (+.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)) |
(neg.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 x)) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (neg.f64 x))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (log.f64 x))))) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(log.f64 x) |
(*.f64 (neg.f64 x) n) |
(*.f64 #s(literal -1 binary64) (*.f64 n x)) |
(*.f64 n (neg.f64 x)) |
(*.f64 n x) |
(*.f64 x n) |
(neg.f64 (*.f64 n x)) |
(-.f64 #s(literal 0 binary64) (*.f64 n x)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -2 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) n)) |
(*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1/2 binary64) n)) |
(*.f64 #s(literal -2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -2 binary64)) n)) |
(*.f64 (pow.f64 n #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 n #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) #s(literal 1 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal -2 binary64)) n)) |
(*.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) (/.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 (/.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 #s(literal 2 binary64)) n) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n) #s(literal -1 binary64)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 n n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) n) n) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) n)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n)) #s(literal -1 binary64))) |
Compiled 30 748 to 3 109 computations (89.9% saved)
42 alts after pruning (34 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 736 | 18 | 754 |
| Fresh | 11 | 16 | 27 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 7 | 7 |
| Total | 751 | 42 | 793 |
| Status | Accuracy | Program |
|---|---|---|
| 56.3% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 19.3% | (-.f64 #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 (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 22.0% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 28.3% | (-.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))) | |
| ✓ | 34.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 25.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n x))) | |
| 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) | |
| 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) | |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n)) | |
| 60.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) | |
| 60.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))) | |
| 46.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 37.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) n)) | |
| ✓ | 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 60.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.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)))) n)) | |
| 28.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) | |
| ✓ | 61.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| ✓ | 60.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 41.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) | |
| 40.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) | |
| 35.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) | |
| ✓ | 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
| 30.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) | |
| ✓ | 30.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
| 24.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)) | |
| 29.6% | #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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) | |
| 33.9% | #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 (-.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))) x)) | |
| 19.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)))))) | |
| 30.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) | |
| ✓ | 48.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
| 28.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) | |
| 43.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| 29.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| 30.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) | |
| 43.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) | |
| 27.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) | |
| 41.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) | |
| 33.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
Compiled 3 685 to 1 299 computations (64.7% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.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)))) 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 (-.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))) 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)) |
(-.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 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) (*.f64 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 (-.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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) (pow.f64 (/.f64 x n) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 x n) #s(literal 3 binary64)) (pow.f64 (expm1.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n)) |
4 calls:
| 80.0ms | n |
| 20.0ms | (/.f64 #s(literal 1 binary64) n) |
| 17.0ms | x |
| 13.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | x |
| 87.8% | 5 | n |
| 83.5% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 87.7% | 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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (*.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)))) 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 (-.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))) 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)) |
(-.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 (-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 x (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 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)) |
1 calls:
| 23.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.8% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
3 calls:
| 115.0ms | (/.f64 #s(literal 1 binary64) n) |
| 13.0ms | n |
| 13.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 5 | n |
| 86.0% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 79.3% | 3 | x |
Compiled 5 to 8 computations (-60% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 #s(literal -1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.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 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64)) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 90.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 #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 (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #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 (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 11.0ms | (/.f64 #s(literal 1 binary64) n) |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.3% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 84.7% | 4 | (/.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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 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)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (/ (pow x (/ 1 n)) x) (+.f64 (/.f64 (/.f64 (log.f64 x) n) x) (/.f64 #s(literal 1 binary64) 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 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
2 calls:
| 86.0ms | (/.f64 #s(literal 1 binary64) n) |
| 11.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 6 | n |
| 85.7% | 5 | (/.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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x (*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 (*.f64 x x) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 n x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
1 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#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 #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
1 calls:
| 93.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 5 | (/.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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| 9.0ms | x |
| 9.0ms | n |
| 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 |
|---|---|---|
| 65.3% | 2 | x |
| 78.5% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 70.1% | 4 | n |
| 69.7% | 3 | (/.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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (log.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(literal 1 binary64) (/.f64 n #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x)))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))) |
4 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| 8.0ms | x |
| 8.0ms | n |
| 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 |
|---|---|---|
| 65.8% | 3 | x |
| 57.6% | 6 | n |
| 57.1% | 6 | (/.f64 #s(literal 1 binary64) n) |
| 54.6% | 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))) |
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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
1 calls:
| 34.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
1 calls:
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 63.9% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) x)) x)) (neg.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x) (*.f64 x (*.f64 n x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n x)) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) x) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n x) (fma.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) n) x) (/.f64 #s(literal 1/3 binary64) n)) x)) n x))) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
4 calls:
| 37.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | x |
| 6.0ms | 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 |
|---|---|---|
| 45.9% | 2 | (/.f64 #s(literal 1 binary64) n) |
| 47.2% | 3 | n |
| 49.2% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 49.9% | 2 | x |
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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #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 (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) #s(literal 1 binary64)) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 n x) x)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal 1 binary64)) n)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
1 calls:
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.9% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n)) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (*.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (/.f64 #s(literal -1/2 binary64) n)) #s(literal 2 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)) |
2 calls:
| 3.0ms | x |
| 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 |
|---|---|---|
| 41.5% | 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))) |
| 49.1% | 3 | x |
Compiled 14 to 10 computations (28.6% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) 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 (-.f64 x #s(literal 1/2 binary64)) x) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.5% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 #s(approx (- (log x) (log (+ 1 x))) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 1 binary64) (neg.f64 n)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
4 calls:
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | x |
| 2.0ms | n |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 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))) |
| 41.5% | 1 | n |
| 41.5% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 41.5% | 1 | x |
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 (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
4 calls:
| 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))) |
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | x |
| 1.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.5% | 1 | n |
| 41.5% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 41.5% | 1 | x |
| 41.5% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 18 to 16 computations (11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
4 calls:
| 1.0ms | n |
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.3% | 1 | n |
| 41.3% | 1 | x |
| 41.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 41.3% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.054480747687334005 | 221.10288603437908 |
| 15.0ms | 34× | 2 | valid |
| 9.0ms | 49× | 1 | valid |
| 4.0ms | 45× | 0 | valid |
| 1.0ms | 8× | 0 | exit |
Compiled 408 to 277 computations (32.1% saved)
ival-pow: 17.0ms (71.5% of total)adjust: 3.0ms (12.6% of total)ival-div: 2.0ms (8.4% of total)ival-add: 1.0ms (4.2% of total)ival-sub: 1.0ms (4.2% 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 | 0.054480747687334005 | 221.10288603437908 |
Compiled 384 to 253 computations (34.1% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.337436851648847e+179 | 1.1656406858860575e+186 |
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.337436851648847e+179 | 1.1656406858860575e+186 |
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.337436851648847e+179 | 1.1656406858860575e+186 |
| 0.0ms | 0.021941706324980166 | 97006596.85358842 |
| 0.0ms | 2.943535851019768e-121 | 1.233968256927944e-120 |
| 0.0ms | -4.382676544769132e-42 | -1.726617832998782e-42 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.546585330444941e-12 | 1.0 |
| 0.0ms | -2.3865495579755702e-8 | 0.0 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 35.0ms | 1.4158200783333253e+90 | 2.9819325557220835e+92 |
| 12.0ms | 0.054480747687334005 | 221.10288603437908 |
| 20.0ms | 54× | 2 | valid |
| 9.0ms | 45× | 1 | valid |
| 5.0ms | 61× | 0 | valid |
| 1.0ms | 11× | 0 | exit |
Compiled 1 210 to 807 computations (33.3% saved)
ival-pow: 18.0ms (63.6% of total)adjust: 4.0ms (14.1% of total)ival-div: 3.0ms (10.6% of total)ival-sub: 2.0ms (7.1% of total)ival-add: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 4.0ms | 0.054480747687334005 | 221.10288603437908 |
| 1.0ms | 4× | 2 | valid |
| 1.0ms | 4× | 1 | valid |
| 1.0ms | 8× | 0 | valid |
Compiled 520 to 333 computations (36% saved)
ival-pow: 2.0ms (88.9% of total)adjust: 0.0ms (0% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 0.054480747687334005 | 221.10288603437908 |
| 5.0ms | 15× | 2 | valid |
| 3.0ms | 18× | 1 | valid |
| 3.0ms | 31× | 0 | valid |
Compiled 512 to 333 computations (35% saved)
ival-pow: 6.0ms (68.8% of total)adjust: 1.0ms (11.5% of total)ival-div: 1.0ms (11.5% of total)ival-sub: 1.0ms (11.5% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 27.0ms | 3.0966546124117405e+61 | 9.77446193079834e+67 |
| 12.0ms | 34× | 2 | valid |
| 9.0ms | 21× | 1 | valid |
| 2.0ms | 25× | 0 | valid |
| 1.0ms | 9× | 0 | exit |
Compiled 391 to 253 computations (35.3% saved)
ival-pow: 15.0ms (74.5% of total)adjust: 2.0ms (9.9% of total)ival-add: 1.0ms (5% of total)ival-div: 1.0ms (5% of total)ival-sub: 1.0ms (5% 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× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 3.269232362920858e+136 | 3.0057695504988226e+141 |
| 8.0ms | 23× | 2 | valid |
| 1.0ms | 7× | 1 | valid |
| 1.0ms | 18× | 0 | valid |
| 1.0ms | 8× | 0 | exit |
Compiled 226 to 151 computations (33.2% saved)
ival-pow: 7.0ms (70.2% of total)ival-add: 1.0ms (10% of total)ival-div: 1.0ms (10% of total)adjust: 1.0ms (10% of total)ival-sub: 1.0ms (10% 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 |
|---|---|---|
| 16.0ms | 0.054480747687334005 | 221.10288603437908 |
| 9.0ms | 12× | 2 | valid |
| 2.0ms | 14× | 1 | valid |
| 2.0ms | 22× | 0 | valid |
Compiled 552 to 365 computations (33.9% saved)
ival-pow: 5.0ms (73.2% of total)adjust: 1.0ms (14.6% of total)ival-div: 1.0ms (14.6% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 1.1159457347322091e+168 | 4.691593606071187e+170 |
| 1.0ms | 0.054480747687334005 | 221.10288603437908 |
| 34.0ms | 81× | 2 | valid |
| 3.0ms | 42× | 0 | valid |
| 2.0ms | 17× | 0 | exit |
| 1.0ms | 5× | 1 | valid |
Compiled 1 064 to 717 computations (32.6% saved)
ival-pow: 25.0ms (71.9% of total)adjust: 4.0ms (11.5% of total)ival-add: 2.0ms (5.7% of total)ival-div: 2.0ms (5.7% of total)ival-sub: 1.0ms (2.9% 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 |
|---|---|---|
| 2.0ms | 1.1159457347322091e+168 | 4.691593606071187e+170 |
Compiled 528 to 349 computations (33.9% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 249 | 1993 |
| 1 | 339 | 1991 |
| 2 | 510 | 1991 |
| 3 | 1015 | 1987 |
| 4 | 2441 | 1987 |
| 5 | 5877 | 1984 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 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))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 -6277101735386681/1569275433846670190958947355801916604025588861116008628224 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 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 -6277101735386681/1569275433846670190958947355801916604025588861116008628224 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 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #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 -6277101735386681/1569275433846670190958947355801916604025588861116008628224 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 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #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 (/.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 -6277101735386681/1569275433846670190958947355801916604025588861116008628224 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 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 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 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 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 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 199999999999999996091099546963028318915752778493452543828291966300228010772656544918538878468995967298844297195887900676839994006336880488768194581630088140609089562433891216654336 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 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)))))) |
(if (<=.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))) #s(literal -3022314549036573/151115727451828646838272 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.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))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 x #s(literal 7926335344172073/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) (if (<=.f64 x #s(literal 4800000000000000200974019900839830937820221396726314455771140147210825449404370332023783424 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/4 binary64) x)) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) #s(approx (/ (+ (/ (- (/ -1/2 n) (/ (- (/ (/ 1/4 n) x) (/ 1/3 n)) x)) x) (/ 1 n)) x) (/.f64 #s(literal -1/4 binary64) (*.f64 (pow.f64 x #s(literal 4 binary64)) n))))))) |
(if (<=.f64 x #s(literal 1080863910568919/1125899906842624 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (-.f64 x (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 6124895493223875/9007199254740992 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (log.f64 x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 19999999999999999654735515678371196634479565751161864557154294300672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (fma.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) n) (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) n)) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) (if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)))) |
(if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) (/.f64 #s(literal -1 binary64) n)) x) n))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 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))) |
(if (<=.f64 x #s(literal 1 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (-.f64 (/.f64 x n) (expm1.f64 (/.f64 (log.f64 x) n)))) #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))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) n) x)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (pow.f64 n #s(literal -1 binary64)))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -6277101735386681/1569275433846670190958947355801916604025588861116008628224 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 5814709794364855/11629419588729710248789180926208072549658261770997088964503843186890228609814366773219056811420217048972200345700258846936553626057834496 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5764607523034235/144115188075855872 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (pow.f64 x #s(approx (* (/ 1/2 n) 2) (/.f64 #s(literal 1 binary64) n))) (*.f64 n x))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 #s(approx (+ (* (+ (* (- (+ (/ 1/3 n) (/ 1/6 (pow n 3))) (/ 1/2 (* n n))) x) (- (/ 1/2 (* n n)) (/ 1/2 n))) x) (/ 1 n)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 x (/.f64 x n)) (fma.f64 x (+.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1/2 binary64)) n) (fma.f64 #s(literal 1/3 binary64) x #s(literal -1/2 binary64))) #s(literal 1 binary64))) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
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(if (<=.f64 x #s(literal 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal 1 binary64)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
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(if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 x (*.f64 x (/.f64 #s(literal 1/2 binary64) x))) (*.f64 x x))) n))) |
(if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x))) n)) (if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)))) |
(if (<=.f64 x #s(literal 1/2 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) (neg.f64 n))) (if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n)))) |
(if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n))) |
(if (<=.f64 x #s(literal 1499999999999999900790742252114461843557925324645497277917539233461550970049405471438538648893768920756371831899547782213309071220167219189919187758105592926241577500672 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) #s(approx (/ (- 1 (/ 1/2 x)) x) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x))) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (pow.f64 x #s(literal -1 binary64))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (* (- (log x) (log (+ 1 x))) (/ 1 (neg n))) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (pow x (* (/ 1/2 n) 2)) #s(literal 1 binary64)) (*.f64 n x))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 597 | 2824 |
| 1 | 1808 | 2680 |
| 2 | 5342 | 2632 |
| 0 | 8172 | 2500 |
| 0 | 43 | 333 |
| 0 | 75 | 333 |
| 1 | 361 | 309 |
| 2 | 3526 | 299 |
| 0 | 9689 | 294 |
| 0 | 625 | 3373 |
| 1 | 1908 | 3108 |
| 2 | 5884 | 2983 |
| 0 | 8203 | 2783 |
| 0 | 263 | 1455 |
| 1 | 761 | 1349 |
| 2 | 2161 | 1275 |
| 3 | 7630 | 1269 |
| 0 | 8915 | 1165 |
| 0 | 685 | 3762 |
| 1 | 2070 | 3576 |
| 2 | 6219 | 3445 |
| 0 | 8287 | 3224 |
| 0 | 47 | 310 |
| 0 | 73 | 299 |
| 1 | 295 | 281 |
| 2 | 2361 | 279 |
| 0 | 9832 | 279 |
| 0 | 71 | 515 |
| 0 | 108 | 510 |
| 1 | 524 | 502 |
| 2 | 5479 | 502 |
| 0 | 8347 | 466 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 3 213 to 1 191 computations (62.9% saved)
Compiled 4 024 to 522 computations (87% saved)
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