
Time bar (total: 29.5s)
| 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)
| 17.2s | 7 094× | 5 | exit |
| 2.0s | 2 908× | 2 | valid |
| 1.4s | 2 849× | 1 | valid |
| 340.0ms | 1 574× | 0 | exit |
| 262.0ms | 2 499× | 0 | valid |
ival-pow: 16.7s (84.1% of total)adjust: 1.6s (7.9% of total)ival-div: 717.0ms (3.6% of total)ival-add: 487.0ms (2.5% of total)ival-sub: 335.0ms (1.7% of total)ival-true: 18.0ms (0.1% of total)exact: 17.0ms (0.1% of total)ival-assert: 10.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 114 | 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))) |
| 41 | 30 | (3.541182651620483e-173 -1.4938849381317143e-149) | 0 | - | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 2 | 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 | 113 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 71 | 0 |
pow.f64 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | sensitivity | 2 | 0 |
-.f64 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | nan-rescue | 1 | 0 |
| ↳ | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | overflow | 20 | |
| ↳ | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | overflow | 39 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 136 | 0 |
| - | 49 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 136 | 0 | 0 |
| - | 49 | 0 | 71 |
| number | freq |
|---|---|
| 0 | 71 |
| 1 | 184 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 108.0ms | 248× | 1 | valid |
| 80.0ms | 178× | 2 | valid |
| 46.0ms | 86× | 0 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-pow: 128.0ms (61.1% of total)ival-sub: 44.0ms (21% of total)adjust: 23.0ms (11% of total)ival-div: 9.0ms (4.3% of total)ival-add: 5.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 75 |
| 1 | 28 | 71 |
| 2 | 31 | 71 |
| 0 | 8 | 13 |
| 0 | 13 | 13 |
| 1 | 16 | 13 |
| 0 | 16 | 13 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 13 to 8 computations (38.5% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
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 | 16 | 34 |
| 0 | 16 | 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 | 0.05922086382454818 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 9.356209472499433 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.674775880200958 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 54.0ms | 124× | 1 | valid |
| 39.0ms | 89× | 2 | valid |
| 3.0ms | 43× | 0 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-pow: 63.0ms (74.6% of total)adjust: 11.0ms (13% of total)ival-div: 4.0ms (4.7% of total)ival-add: 3.0ms (3.6% of total)ival-sub: 3.0ms (3.6% 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 | |
|---|---|---|---|---|
| 23.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 19.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 7.0ms | 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 | 1453 |
| 1 | 845 | 1330 |
| 2 | 3085 | 1283 |
| 0 | 8423 | 1173 |
| 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) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+ 1 x) |
(-.f64 x #s(literal -1 binary64)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(+.f64 (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x) (exp.f64 (/.f64 (log.f64 x) n))) |
x |
(* x (+ 1 (/ 1 x))) |
(-.f64 x #s(literal -1 binary64)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) x) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x)) x) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(/.f64 (fma.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 (fma.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)))) (neg.f64 x))) x)) x) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 n x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x))) |
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (neg.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n))) x)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (neg.f64 n)) (/.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) n)) (neg.f64 x)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) x)) x)) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(-.f64 (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) (fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n))) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(/.f64 (-.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) (log1p.f64 x))) (log.f64 x)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n))) n) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
(fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n) #s(literal 1 binary64))) |
(+ 1 (/ (log x) n)) |
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (neg.f64 (log1p.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(fma.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log1p.f64 x)) n)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(fma.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) #s(literal 1/6 binary64) (+.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64) (log.f64 x)) n) #s(literal 1 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 59 | 31 |
| 2 | 373 | 31 |
| 3 | 3875 | 31 |
| 0 | 8189 | 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 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) #s(literal 3 binary64)) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))))) (fma.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (-.f64 (-.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(*.f64 (+.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (-.f64 (neg.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (-.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (/.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (/.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) (*.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (pow.f64 (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 9 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (*.f64 (+.f64 (+.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (+.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 4 binary64))) (pow.f64 (fma.f64 x x x) (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 6 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64)))))) |
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3/4 binary64)) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3/4 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(*.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(pow.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x))) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(pow.f64 (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) (log.f64 x)) |
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64))) |
(pow.f64 (pow.f64 x (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x)) |
(pow.f64 (pow.f64 (neg.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fabs.f64 x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x x) (*.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 (*.f64 x x) (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (*.f64 x x) (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 1 binary64)) |
(pow.f64 x (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(pow.f64 x (*.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(neg.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n)))) |
(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (neg.f64 (/.f64 (log.f64 x) n)))) |
(fabs.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(fabs.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (sinh.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (sinh.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) |
(+.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) |
(exp.f64 (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) n)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (pow.f64 n #s(literal -1/2 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
Compiled 9 436 to 1 333 computations (85.9% saved)
20 alts after pruning (19 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 342 | 19 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 342 | 20 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| 23.9% | (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) | |
| 23.9% | (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) | |
| 23.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64))) | |
| ▶ | 38.2% | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 51.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
| ✓ | 52.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 52.1% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) | |
| 31.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))) | |
| 59.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 18.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| 62.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) | |
| 56.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 66.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) | |
| ▶ | 71.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
| ▶ | 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
Compiled 1 159 to 690 computations (40.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 2 | (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) | |
| cost-diff | 8 | (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) | |
| 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 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) | |
| cost-diff | 2 | (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) | |
| 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 | (/.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 | (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) | |
| cost-diff | 0 | (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) | |
| cost-diff | 0 | (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 520 |
| 0 | 97 | 515 |
| 1 | 163 | 515 |
| 2 | 344 | 512 |
| 3 | 1077 | 512 |
| 4 | 5111 | 486 |
| 0 | 8176 | 484 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) |
(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))) |
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log.f64 x) |
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)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 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 (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) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
(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 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
(log.f64 x) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) |
#s(literal 2 binary64) |
(*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(cosh.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) |
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) |
(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))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
#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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log.f64 x) |
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)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
#s(literal 1/2 binary64) |
(neg.f64 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 (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) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x))) |
(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 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x)) |
(exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(exp.f64 (/.f64 #s(literal 1 binary64) n)) |
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
(log.f64 x) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64) (-.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) |
(fma.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 1 binary64) (cosh.f64 (/.f64 (log1p.f64 x) n))) |
#s(literal 2 binary64) |
(*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(/.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64)) |
(sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal -2 binary64))) |
(cosh.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05038220881252153 | (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) | |
| accuracy | 0.05922086382454818 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 0.09375 | (/.f64 (log1p.f64 x) n) | |
| accuracy | 25.674775880200958 | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 0.01171875 | (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) | |
| accuracy | 0.3738315519005277 | (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) | |
| accuracy | 4.882966521448818 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.674775880200958 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) | |
| accuracy | 0.052429940492862544 | (exp.f64 (/.f64 (log.f64 x) n)) | |
| accuracy | 0.1640625 | (/.f64 (log.f64 x) n) | |
| accuracy | 4.702988759763831 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) | |
| accuracy | 27.10275882249934 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) n) | |
| accuracy | 0.05922086382454818 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 6.637801041236706 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 25.674775880200958 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 6.67830603410105 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) | |
| accuracy | 16.47482712656166 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 16.50227744534461 | (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) | |
| accuracy | 16.50474081910373 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| 229.0ms | 91× | 2 | valid |
| 102.0ms | 90× | 1 | valid |
| 66.0ms | 16× | 5 | exit |
| 21.0ms | 55× | 0 | exit |
| 2.0ms | 4× | 0 | valid |
Compiled 548 to 50 computations (90.9% saved)
ival-pow: 146.0ms (39.1% of total)adjust: 59.0ms (15.8% of total)ival-div: 44.0ms (11.8% of total)ival-cosh: 26.0ms (7% of total)ival-log: 19.0ms (5.1% of total)ival-sub: 14.0ms (3.7% of total)ival-mult: 13.0ms (3.5% of total)ival-exp: 12.0ms (3.2% of total)ival-pow2: 9.0ms (2.4% of total)ival-log1p: 9.0ms (2.4% of total)ival-add: 9.0ms (2.4% of total)const: 5.0ms (1.3% of total)ival-sinh: 5.0ms (1.3% of total)ival-neg: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
(-.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 (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 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(/.f64 (log1p.f64 x) 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) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(* -1 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 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)) |
(/ (log x) n) |
(+ 1 x) |
(* 1/2 (/ x n)) |
(* x (+ (* 1/2 (* x (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))))) (* 1/2 (/ 1 n)))) |
(* x (+ (* x (+ (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (* x (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* 1/16 (/ 1 (pow n 3))))))) (* 1/2 (/ 1 n)))) |
(* x (+ (* x (+ (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (* x (+ (* 1/16 (/ 1 (pow n 3))) (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* x (+ (* -1/4 (/ (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)) (* 1/2 (/ (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))) (* 1/8 (/ 1 (pow n 2)))) n))) n)) (+ (* 1/16 (/ (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))) (pow n 2))) (* 1/2 (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* -1 (* (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))))) (+ (* -1 (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* 1/32 (/ 1 (pow n 3))) (* 1/8 (/ 1 n))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)))) n)) (+ (* 1/32 (/ 1 (pow n 3))) (+ (* 1/8 (/ 1 n)) (* 1/2 (/ (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) n))))))))))))))))) (* 1/2 (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (* 5/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 5/8 (/ 1 (pow n 2))) (* x (+ (* -1/2 (+ (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (* 2 (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* 1/16 (/ 1 (pow n 3)))))))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(- (+ 1 (* x (+ (* x (- (* 5/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 5/8 (/ 1 (pow n 2))) (* x (+ (* -1/2 (+ (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) n)) (+ (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 (pow n 3)))))) (* 2 (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* 1/16 (/ 1 (pow n 3)))))))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (/ 1 n)))) (exp (/ (log x) n))) |
(* x (+ (* x (+ (* 1/2 (* x (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)))))))) (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))))) (* 1/2 (/ 1 n)))) |
(* x (+ (* x (+ (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (* x (+ (* 1/2 (* x (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* -1 (* (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))))) (+ (* -1 (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* 1/32 (/ 1 (pow n 3))) (* 1/8 (/ 1 n))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)))) n)) (+ (* 1/32 (/ 1 (pow n 3))) (+ (* 1/8 (/ 1 n)) (* 1/2 (/ (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) n)))))))))) (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))))))) (* 1/2 (/ 1 n)))) |
(* -1 (pow (log x) 3)) |
(- (pow x 3) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3)) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(/ x n) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(/ (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 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x)) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x) |
(* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x)) |
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(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 n))) n)) 1) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 60.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ (/ 2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow (exp (/ (/ 2 n) 2)) (log x))) (pow (+ x 1) (/ 1 n)) (+ x 1) (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2))) (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (sinh (/ (/ (log (+ 1 x)) n) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ (/ 2 n) 2)) (log x)) (exp (/ (/ 2 n) 2)) (/ (log (+ 1 x)) n)) |
| 48.0ms | n | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ (/ 2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow (exp (/ (/ 2 n) 2)) (log x))) (pow (+ x 1) (/ 1 n)) (+ x 1) (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2))) (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (sinh (/ (/ (log (+ 1 x)) n) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ (/ 2 n) 2)) (log x)) (exp (/ (/ 2 n) 2)) (/ (log (+ 1 x)) n)) |
| 41.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ (/ 2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow (exp (/ (/ 2 n) 2)) (log x))) (pow (+ x 1) (/ 1 n)) (+ x 1) (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2))) (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (sinh (/ (/ (log (+ 1 x)) n) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ (/ 2 n) 2)) (log x)) (exp (/ (/ 2 n) 2)) (/ (log (+ 1 x)) n)) |
| 34.0ms | n | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ (/ 2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow (exp (/ (/ 2 n) 2)) (log x))) (pow (+ x 1) (/ 1 n)) (+ x 1) (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2))) (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (sinh (/ (/ (log (+ 1 x)) n) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ (/ 2 n) 2)) (log x)) (exp (/ (/ 2 n) 2)) (/ (log (+ 1 x)) n)) |
| 28.0ms | x | @ | 0 | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (- (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))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (/ (/ 2 n) 2) (- (pow (+ x 1) (/ 1 n)) (pow (exp (/ (/ 2 n) 2)) (log x))) (pow (+ x 1) (/ 1 n)) (+ x 1) (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2))) (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (sinh (/ (/ (log (+ 1 x)) n) 2)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ (/ 2 n) 2)) (log x)) (exp (/ (/ 2 n) 2)) (/ (log (+ 1 x)) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1769 | 23274 |
| 1 | 6395 | 22047 |
| 0 | 9142 | 20677 |
| 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) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(* -1 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 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)) |
(/ (log x) n) |
(+ 1 x) |
(* 1/2 (/ x n)) |
(* x (+ (* 1/2 (* x (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))))) (* 1/2 (/ 1 n)))) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/48 (pow (log (+ 1 x)) 3)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))))) n)) (* 1/2 (- (* 1/8 (pow (log (+ 1 x)) 2)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))) n)) (* 1/2 (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/384 (pow (log (+ 1 x)) 4)) (+ (* -1/8 (* (pow (log (+ 1 x)) 2) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))) (+ (* -1/384 (pow (log (+ 1 x)) 4)) (+ (* 1/96 (pow (log (+ 1 x)) 4)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))))))))))) n)) (* 1/2 (- (* -1/48 (pow (log (+ 1 x)) 3)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))))))) n)) (* 1/2 (- (* 1/8 (pow (log (+ 1 x)) 2)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))) n)) (* 1/2 (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 n))) n)) 1) n))) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(/.f64 (fma.f64 #s(literal -1 binary64) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) x) n) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) x (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) n))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.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))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) n))) |
(- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (fma.f64 #s(literal -1 binary64) x (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(* -1 (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(neg.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (* -1 x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (neg.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ (log x) n) |
(/.f64 (log.f64 x) n) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(* 1/2 (/ x n)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 x n)) |
(* x (+ (* 1/2 (* x (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))))) (* 1/2 (/ 1 n)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 n n)) (fma.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)) #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (/.f64 #s(literal 1/4 binary64) n)))) (/.f64 #s(literal 1/2 binary64) n)) x) |
(* x (+ (* x (+ (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (* x (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* 1/16 (/ 1 (pow n 3))))))) (* 1/2 (/ 1 n)))) |
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(* x (+ (* x (+ (* 1/2 (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2))))))) (* x (+ (* 1/16 (/ 1 (pow n 3))) (+ (* 1/2 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (+ (* 1/8 (/ 1 (pow n 2))) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n))))))) (* x (+ (* -1/4 (/ (+ (* -1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)) (* 1/2 (/ (- (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))) (* 1/8 (/ 1 (pow n 2)))) n))) n)) (+ (* 1/16 (/ (- (* 1/8 (/ 1 (pow n 2))) (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 2)))))) (pow n 2))) (* 1/2 (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* -1 (* (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))))) (+ (* -1 (- (+ (* 1/384 (/ 1 (pow n 4))) (* 11/96 (/ 1 (pow n 2)))) (+ (* 1/32 (/ 1 (pow n 3))) (* 1/8 (/ 1 n))))) (+ (* -1/2 (/ (+ (* -1 (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2))))) (+ (* -1/2 (/ (+ (* -1 (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n)))) (* 1/4 (/ 1 (pow n 2)))) n)) (* 1/2 (/ (- (* 1/8 (/ 1 (pow n 2))) (* 1/4 (/ 1 n))) n)))) n)) (+ (* 1/32 (/ 1 (pow n 3))) (+ (* 1/8 (/ 1 n)) (* 1/2 (/ (- (+ (* 1/48 (/ 1 (pow n 3))) (* 1/6 (/ 1 n))) (* 1/8 (/ 1 (pow n 2)))) n))))))))))))))))) (* 1/2 (/ 1 n)))) |
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(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/2 (+ (* -1/2 (* (pow (log (+ 1 x)) 2) (+ (* -1 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (+ 1 x)) 2))))) (+ (* -1/6 (pow (log (+ 1 x)) 4)) (* (log (+ 1 x)) (+ (* -1/6 (pow (log (+ 1 x)) 3)) (+ (* 1/2 (pow (log (+ 1 x)) 3)) (* (log (+ 1 x)) (+ (* -1 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))))))))) (* 2 (+ (* -1/4 (* (+ (* 1/16 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/4 (pow (log (+ 1 x)) 2)) (* 1/8 (pow (log (+ 1 x)) 2)))))) (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) (+ (* 1/16 (* (pow (log (+ 1 x)) 2) (- (* 1/8 (pow (log (+ 1 x)) 2)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))) (* 1/2 (- (* 1/384 (pow (log (+ 1 x)) 4)) (+ (* -1/8 (* (pow (log (+ 1 x)) 2) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))) (+ (* -1/384 (pow (log (+ 1 x)) 4)) (+ (* 1/96 (pow (log (+ 1 x)) 4)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))))))))))))))) (* 1/24 (pow (log x) 4))) n)) (+ (* -1/2 (+ (* 1/2 (pow (log (+ 1 x)) 3)) (* (log (+ 1 x)) (+ (* -1 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))))) (* 2 (+ (* 1/16 (* (pow (log (+ 1 x)) 2) (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) (* 1/2 (- (* -1/48 (pow (log (+ 1 x)) 3)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))))))))))) (* -1/6 (pow (log x) 3))) n)) (+ (* 1/8 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log (+ 1 x)) 2)))) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (+ (* 1/4 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))))) n)) (* -1/2 (log (+ 1 x)))) (+ (* -1 (log x)) (* 1/2 (log (+ 1 x))))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 5/8 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/16 binary64))) (neg.f64 (log1p.f64 x))) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/128 binary64) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/48 binary64)))))))) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (fma.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64) (fma.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64)))) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal -1/6 binary64)))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64))) n) #s(literal -1 binary64) (-.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (neg.f64 (log1p.f64 x)) (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)))) n))) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))) n))) (fma.f64 (log1p.f64 x) #s(literal 1/2 binary64) (neg.f64 (log.f64 x)))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* -1/48 (pow (log (+ 1 x)) 3)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))))) n)) (* 1/2 (- (* 1/8 (pow (log (+ 1 x)) 2)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))) n)) (* 1/2 (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) n)) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) n) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64))) n))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (- (* 1/384 (pow (log (+ 1 x)) 4)) (+ (* -1/8 (* (pow (log (+ 1 x)) 2) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))) (+ (* -1/384 (pow (log (+ 1 x)) 4)) (+ (* 1/96 (pow (log (+ 1 x)) 4)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2))))))))))))) n)) (* 1/2 (- (* -1/48 (pow (log (+ 1 x)) 3)) (+ (* -1/16 (pow (log (+ 1 x)) 3)) (+ (* 1/48 (pow (log (+ 1 x)) 3)) (* 1/2 (* (log (+ 1 x)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))))))) n)) (* 1/2 (- (* 1/8 (pow (log (+ 1 x)) 2)) (+ (* -1/8 (pow (log (+ 1 x)) 2)) (* 1/4 (pow (log (+ 1 x)) 2)))))) n)) (* 1/2 (- (* -1/2 (log (+ 1 x))) (* 1/2 (log (+ 1 x)))))) n)) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64))) #s(literal 1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/384 binary64)) (fma.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/128 binary64) (*.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/16 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/48 binary64)))))))) n) #s(literal -1/2 binary64) (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/8 binary64)) (log1p.f64 x)) #s(literal 1/2 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal 1/48 binary64)))) #s(literal 1/2 binary64))) n))) n))) n)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1/2 (* 1/6 (/ 1 n))) n)) 1) n))) |
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal 1/2 binary64)) n)) #s(literal 1 binary64)) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 363 |
| 0 | 97 | 346 |
| 1 | 377 | 342 |
| 2 | 2661 | 316 |
| 0 | 9588 | 316 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
(-.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 (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 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 x #s(literal 1 binary64)) |
(*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x)) |
(exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(/.f64 (log1p.f64 x) n) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n))) |
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(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log1p.f64 x) (log.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (pow.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (exp.f64 (/.f64 #s(literal 2 binary64) n))) (/.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (/.f64 (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (+.f64 (/.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (/.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (*.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (log.f64 x)) |
(pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) |
(sqrt.f64 (exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) (log.f64 x)))) |
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (log.f64 x))) |
(fabs.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) |
(fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (log.f64 x))) (sinh.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (log.f64 x)))) |
(exp.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (sinh.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))))) (*.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64)))) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 #s(literal 2 binary64) n)))) (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 #s(literal 2 binary64) (+.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64))) (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))))) |
(sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) |
(-.f64 (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64))) (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) |
(+.f64 (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64)))) |
(+.f64 (cosh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal -2 binary64))) (sinh.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) |
(/.f64 (neg.f64 (neg.f64 (log1p.f64 x))) n) |
(/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) |
(/.f64 (log1p.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) |
Compiled 51 971 to 4 343 computations (91.6% saved)
33 alts after pruning (30 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 749 | 20 | 769 |
| Fresh | 4 | 10 | 14 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 756 | 33 | 789 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| ▶ | 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
| 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) | |
| 23.9% | (/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64))) | |
| 30.5% | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 51.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) | |
| ✓ | 52.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 31.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))) | |
| 30.7% | (-.f64 (/.f64 (fma.f64 (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 59.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 18.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))) | |
| ✓ | 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) | |
| 34.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| 40.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64))) n (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) n))) | |
| ▶ | 14.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
| 56.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)))) (neg.f64 n))) | |
| ▶ | 57.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
| 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) | |
| 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n)))) | |
| 56.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 56.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64))) (neg.f64 n)))) | |
| ▶ | 66.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
| 29.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) | |
| ✓ | 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 45.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))) (neg.f64 n))) | |
| 43.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) | |
| 39.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) | |
| ▶ | 38.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| 56.3% | #s(approx (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (log.f64 x))) n)) |
Compiled 2 993 to 1 425 computations (52.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| cost-diff | 2 | (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (cosh.f64 (/.f64 (log.f64 x) n)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) | |
| cost-diff | 6 | (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) | |
| cost-diff | 9 | (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.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)) n) | |
| cost-diff | 0 | (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) n) x) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) | |
| cost-diff | 0 | (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) | |
| cost-diff | 0 | (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) | |
| cost-diff | 0 | (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 822 |
| 0 | 119 | 822 |
| 1 | 211 | 795 |
| 2 | 613 | 781 |
| 3 | 3487 | 781 |
| 0 | 8271 | 779 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n) |
(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))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#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)) |
(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))) |
#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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 4 binary64)) |
#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)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
#s(literal -1/6 binary64) |
(neg.f64 n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
n |
x |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
(/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) |
(fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(*.f64 n x) |
(*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) |
(sinh.f64 (/.f64 (log.f64 x) n)) |
(*.f64 (*.f64 n x) (*.f64 n x)) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
x |
(pow.f64 n #s(literal -1 binary64)) |
n |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) n)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) n)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) |
(-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) n)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) n) |
(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))) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#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)) |
(/.f64 (fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) (neg.f64 n)))) n) |
(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))) |
(fma.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))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) |
#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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 4 binary64)) |
#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)) |
(*.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)))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
#s(literal -1/6 binary64) |
(neg.f64 n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal 1 binary64) |
n |
x |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n x)) (exp.f64 (/.f64 (log.f64 x) n))) |
(fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) |
(*.f64 (*.f64 n x) (exp.f64 (/.f64 (log.f64 x) n))) |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(*.f64 n x) |
(*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(sinh.f64 (/.f64 (log.f64 x) n)) |
(*.f64 (*.f64 n x) (*.f64 n x)) |
(*.f64 (*.f64 (*.f64 x x) n) n) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n)))) |
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 3 binary64) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
x |
(pow.f64 n #s(literal -1 binary64)) |
n |
#s(literal -1 binary64) |
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(fma.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.05922086382454818 | (pow.f64 x (pow.f64 n #s(literal -1 binary64))) | |
| accuracy | 0.6482257914612627 | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| accuracy | 1.2976696146498499 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 25.407268391227586 | (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) | |
| accuracy | 0.2734354358302058 | (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) | |
| accuracy | 7.659678709630412 | (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| accuracy | 18.067638511513504 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) | |
| accuracy | 19.573783848891388 | (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) | |
| accuracy | 0.052429940492862544 | (exp.f64 (/.f64 (log.f64 x) n)) | |
| accuracy | 0.1171875 | (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) | |
| accuracy | 0.125 | (/.f64 (log.f64 x) n) | |
| accuracy | 18.067638511513504 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) n) | |
| accuracy | 0.109375 | (/.f64 (/.f64 #s(literal 1 binary64) n) x) | |
| accuracy | 2.373120251215588 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) | |
| accuracy | 18.067638511513504 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) | |
| accuracy | 16.242441286447676 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 16.251408182666562 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) | |
| accuracy | 16.268151212115924 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) | |
| accuracy | 16.275976940227505 | (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) |
| 191.0ms | 89× | 2 | valid |
| 71.0ms | 53× | 1 | valid |
| 53.0ms | 109× | 0 | exit |
| 3.0ms | 5× | 0 | valid |
Compiled 774 to 65 computations (91.6% saved)
ival-pow: 85.0ms (30.8% of total)adjust: 54.0ms (19.6% of total)ival-div: 48.0ms (17.4% of total)ival-mult: 20.0ms (7.3% of total)ival-add: 12.0ms (4.4% of total)ival-pow2: 11.0ms (4% of total)ival-sub: 10.0ms (3.6% of total)const: 10.0ms (3.6% of total)ival-log: 6.0ms (2.2% of total)ival-log1p: 6.0ms (2.2% of total)ival-cosh: 4.0ms (1.5% of total)ival-exp: 3.0ms (1.1% of total)ival-neg: 3.0ms (1.1% of total)ival-sinh: 2.0ms (0.7% of total)exact: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (log.f64 x) n) |
(*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
| 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) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (+ (log x) (* -1 x)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(* -1 (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (* -1 x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(/ (exp (/ (log x) n)) n) |
(exp (/ (log x) n)) |
(* x (+ (* 1/2 (* n (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) (* 1/2 (* n (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))))) |
(/ (+ (* 1/2 (* n (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) (* 1/2 (* n (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) (* (pow n 2) x)) |
(* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) |
(+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) |
(+ 1 (+ (* x (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n))) (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) |
(+ 1 (+ (* x (+ (* 2 (/ 1 n)) (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (/ (exp (/ (log x) n)) n)))) (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) |
(+ 1 (+ (* x (+ (* 2 (/ 1 n)) (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (+ (* x (- (+ (* 2/3 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (* 2 (/ 1 (pow n 2))))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (/ 1 n))) (/ (exp (/ (log x) n)) n)))) (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) |
(/ (- 1 (pow (exp (/ (log x) n)) 3)) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) |
(- (+ (* x (- (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (/ 1 (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) (/ (pow (exp (/ (log x) n)) 3) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) |
(- (+ (* x (- (+ (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (* x (- (* 9/2 (/ 1 (* (pow n 2) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (* 3/2 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) (/ (* (- 1 (pow (exp (/ (log x) n)) 3)) (- (+ (* 2 (/ 1 (pow n 2))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (/ 1 (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) (/ (pow (exp (/ (log x) n)) 3) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) |
(- (+ (* x (- (+ (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (* x (- (+ (* 9/2 (/ 1 (* (pow n 2) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (* x (- (+ (* 1/6 (/ 1 (* (pow n 3) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (* 1/3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (* 2/3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (* 2 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (* 10/3 (/ 1 (* (pow n 3) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))))))) (+ (* 7/2 (/ 1 (* (pow n 2) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- (* 9/2 (/ 1 (* (pow n 2) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (* 3/2 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) (/ (* (- 1 (pow (exp (/ (log x) n)) 3)) (- (+ (* 2 (/ 1 (pow n 2))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))))) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 3)) (- (+ (* 2/3 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) (* 2 (/ 1 (pow n 2))))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)) (/ (* (- (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2))) (- (+ (* 2 (/ 1 (pow n 2))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))))))) (+ (* 3/2 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (+ (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- (* 3 (/ 1 (* n (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n)))))) (/ (* (- 1 (pow (exp (/ (log x) n)) 3)) (- (+ (* 2 (/ 1 (pow n 2))) (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2))))))) (/ (* (+ (* 2 (/ 1 n)) (/ (exp (/ (log x) n)) n)) (- 1 (pow (exp (/ (log x) n)) 3))) (pow (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))) 2)))) (/ 1 (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) (/ (pow (exp (/ (log x) n)) 3) (+ 1 (* (exp (/ (log x) n)) (+ 1 (exp (/ (log x) n))))))) |
(- 1 (pow (exp (/ (log x) n)) 3)) |
(- (+ 1 (* 3 (/ x n))) (pow (exp (/ (log x) n)) 3)) |
(- (+ 1 (* x (+ (* x (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) (pow (exp (/ (log x) n)) 3)) |
(- (+ 1 (* x (+ (* x (- (+ (* 9/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (* 2/3 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (+ (* 2 (/ 1 (pow n 3))) (* 2 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) n))))))) (* 7/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) (pow (exp (/ (log x) n)) 3)) |
1 |
(+ 1 (* 3 (/ x n))) |
(+ 1 (* x (+ (* x (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) |
(+ 1 (* x (+ (* x (- (+ (* 9/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (* 2/3 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (+ (* 2 (/ 1 (pow n 3))) (* 2 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) n))))))) (* 7/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) |
(* -1 (pow (log x) 3)) |
(- (pow x 3) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3)) |
(* -1 (pow (log x) 4)) |
(- (pow x 4) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4)) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(/ (log x) n) |
(* 1/2 (* n (* x (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(+ 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 (* -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) |
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(* -4 (/ (pow (log (/ 1 x)) 3) x)) |
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(- (* -1 (/ (- (* -1 (/ (- (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)) (log (+ 1 x))) |
(* -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)) |
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(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(* -1 (* n (+ (* -1 x) (* 1/2 (/ (* x (- (* -1 (log x)) (log x))) n))))) |
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(+ 1 (+ (* -1 (/ (+ (* -1/2 (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2)))))) (* 1/2 (/ (+ (* -1/2 (* (pow (log x) 2) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))) (+ (* -1/6 (pow (log x) 4)) (* (log x) (+ (* -1/6 (pow (log x) 3)) (+ (* 1/2 (pow (log x) 3)) (* (log x) (+ (* -1 (pow (log x) 2)) (* 1/2 (pow (log x) 2))))))))) n))) (pow n 3))) (* 1/2 (/ (pow (log x) 2) (pow n 2))))) |
(+ 3 (* -1 (/ (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) n))) |
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(* -1/3 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
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(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
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(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) n))) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) n)))) n))) |
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(* -1/2 (* x (- (* -1 (log x)) (log x)))) |
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(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* -1/6 (pow (log x) 3)) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))))) (* 1/2 (/ (* x (- (* 1/24 (pow (log x) 4)) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))) (+ (* -1/24 (pow (log x) 4)) (+ (* 1/6 (pow (log x) 4)) (* (log x) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))))))))) n))) n)) (* -1/2 (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))) n)) (* -1/2 (* x (- (* -1 (log x)) (log x))))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 72.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (/ (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (* (* n x) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (cosh (/ (log x) n)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2)) (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (pow (pow (+ x 1) (/ 1 n)) 3) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ (log x) n) (* (* n x) (sinh (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow x (pow n -1))) |
| 41.0ms | x | @ | inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (neg n)) (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (/ (exp (/ (log x) n)) n) x) (/ (exp (/ (log x) n)) n) (exp (/ (log x) n)) (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (/ (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (* (* n x) (* n x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (cosh (/ (log x) n)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2)) (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (pow (pow (+ x 1) (/ 1 n)) 3) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/ (log x) n) (* (* n x) (sinh (/ (log x) n))) (pow (+ x 1) (/ 1 n)) (pow x (pow n -1))) |
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| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2353 | 26617 |
| 0 | 8650 | 24861 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(- 1 (pow (exp (/ (log x) n)) 3)) |
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1 |
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3 |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (+ (* -1 (* (log (+ 1 x)) (+ (* -1 (pow (log (+ 1 x)) 3)) (* -1/3 (pow (log (+ 1 x)) 3))))) (+ (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* 1/12 (pow (log (+ 1 x)) 4)) (+ (* 1/4 (pow (log (+ 1 x)) 4)) (+ (* 2/3 (pow (log (+ 1 x)) 4)) (pow (log (+ 1 x)) 4)))))) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 3)) (* -1/3 (pow (log x) 3))))) (+ (* 1/24 (pow (log x) 4)) (+ (* 1/12 (pow (log x) 4)) (+ (* 1/4 (pow (log x) 4)) (+ (* 2/3 (pow (log x) 4)) (pow (log x) 4)))))))) (+ (* 1/9 (* (+ (* -1 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 1/2 (pow (log (+ 1 x)) 2))))) (+ (* -1 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log x) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (+ (* -1/6 (pow (log x) 3)) (+ (* -1/6 (pow (log (+ 1 x)) 3)) (* 1/2 (* (pow (log x) 2) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))))) (+ (* 1/3 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (* 1/3 (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3)))))) (+ (* 1/9 (* (+ (* -1 (* (log x) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* 2 (pow (log (+ 1 x)) 2)) (pow (log x) 2))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))))) (* 1/3 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (* 1/3 (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2))))) (* 1/9 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x))))))))))))) (* 1/3 (* (+ (* -1 (* (log x) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* 2 (pow (log (+ 1 x)) 2)) (pow (log x) 2))))) (- (* 1/3 (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2))))) (* 1/9 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))))))))))) n)) (* 1/3 (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))))) (+ (* 1/9 (* (+ (* -1 (* (log x) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (+ (* 2 (pow (log (+ 1 x)) 2)) (pow (log x) 2))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))))) (* 1/3 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (* 1/3 (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2))))) (* 1/9 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x))))))))))) n)) (* 1/3 (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))))) (* 1/9 (* (+ (* -2 (log x)) (+ (* -2 (log (+ 1 x))) (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))) (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x))))))) n)) (* 1/3 (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1 (/ (- (+ (* -1 (* (log (+ 1 x)) (+ (* -1 (pow (log (+ 1 x)) 3)) (* -1/3 (pow (log (+ 1 x)) 3))))) (+ (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* 1/12 (pow (log (+ 1 x)) 4)) (+ (* 1/4 (pow (log (+ 1 x)) 4)) (+ (* 2/3 (pow (log (+ 1 x)) 4)) (pow (log (+ 1 x)) 4)))))) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 3)) (* -1/3 (pow (log x) 3))))) (+ (* 1/24 (pow (log x) 4)) (+ (* 1/12 (pow (log x) 4)) (+ (* 1/4 (pow (log x) 4)) (+ (* 2/3 (pow (log x) 4)) (pow (log x) 4))))))) n)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) n))) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) n)))) n))) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) n)))) n))) |
(* -1/2 (* x (- (* -1 (log x)) (log x)))) |
(+ (* -1/2 (* x (- (* -1 (log x)) (log x)))) (* 1/2 (/ (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))) n))) |
(+ (* -1 (/ (+ (* -1/2 (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))) (* 1/2 (/ (* x (- (* -1/6 (pow (log x) 3)) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))))) n))) n)) (* -1/2 (* x (- (* -1 (log x)) (log x))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* -1/6 (pow (log x) 3)) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))))) (* 1/2 (/ (* x (- (* 1/24 (pow (log x) 4)) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))) (+ (* -1/24 (pow (log x) 4)) (+ (* 1/6 (pow (log x) 4)) (* (log x) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))))))))) n))) n)) (* -1/2 (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))) n)) (* -1/2 (* x (- (* -1 (log x)) (log x))))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) |
(neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (/ x n)) |
(fma.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) n) #s(literal -1 binary64) (/.f64 x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(fma.f64 (fma.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1 binary64) n)) x (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) n))) |
(+ (* -1 (/ (- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 x) (-.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))))) (neg.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) x (/.f64 #s(literal 1 binary64) n)) x (neg.f64 (/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) n))) |
(- (log x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (+ (log x) (* -1 x)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (fma.f64 #s(literal -1 binary64) x (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x (log.f64 x)) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(* -1 (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(neg.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (* -1 x) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (neg.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(- (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n)))) |
(-.f64 (*.f64 (-.f64 (*.f64 (-.f64 (fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) x #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal 1 binary64)) x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n))))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/ 1 (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
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-3 binary64))) (fma.f64 #s(literal -2 binary64) (log.f64 x) (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))))) n) #s(literal -1 binary64) (fma.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) (fma.f64 #s(literal -2 binary64) (log.f64 x) (fma.f64 (log1p.f64 x) #s(literal -2 binary64) (fma.f64 (log1p.f64 x) #s(literal -1 binary64) (neg.f64 (log.f64 x))))))))) n))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(neg.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))) n))) (*.f64 (log.f64 x) #s(literal -3 binary64))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) (fma.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))) n))) (*.f64 (log.f64 x) #s(literal -3 binary64))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1 (/ (- (+ (* -1 (* (log (+ 1 x)) (+ (* -1 (pow (log (+ 1 x)) 3)) (* -1/3 (pow (log (+ 1 x)) 3))))) (+ (* 1/24 (pow (log (+ 1 x)) 4)) (+ (* 1/12 (pow (log (+ 1 x)) 4)) (+ (* 1/4 (pow (log (+ 1 x)) 4)) (+ (* 2/3 (pow (log (+ 1 x)) 4)) (pow (log (+ 1 x)) 4)))))) (+ (* -1 (* (log x) (+ (* -1 (pow (log x) 3)) (* -1/3 (pow (log x) 3))))) (+ (* 1/24 (pow (log x) 4)) (+ (* 1/12 (pow (log x) 4)) (+ (* 1/4 (pow (log x) 4)) (+ (* 2/3 (pow (log x) 4)) (pow (log x) 4))))))) n)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))) (+ (* -4 (pow (log x) 3)) (+ (* -1/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) (+ (* 1/2 (pow (log x) 2)) (* 4 (pow (log x) 2)))) n)))) (+ (* -2 (log x)) (* -1 (log x)))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -4 binary64) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 (log1p.f64 x)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) (-.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal 5/3 binary64) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64))))) (fma.f64 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -4/3 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (fma.f64 #s(literal 1/12 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 #s(literal 5/3 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))))) n))) (fma.f64 #s(literal -4 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) n))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64))) n))) (*.f64 (log.f64 x) #s(literal -3 binary64))) n)) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (log (+ 1 x)))) n))) |
(fma.f64 (/.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2))) n)))) n))) |
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64)) n))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (pow (log (+ 1 x)) 3)) (+ (* -1/3 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log (+ 1 x)) 3)))) n)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* 4 (pow (log (+ 1 x)) 2)))) n)))) n))) |
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 9/2 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -4 binary64) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) #s(literal -1/2 binary64))) n))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1/2 (* x (- (* -1 (log x)) (log x)))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(+ (* -1/2 (* x (- (* -1 (log x)) (log x)))) (* 1/2 (/ (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))) n))) |
(fma.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)))) |
(+ (* -1 (/ (+ (* -1/2 (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))) (* 1/2 (/ (* x (- (* -1/6 (pow (log x) 3)) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))))) n))) n)) (* -1/2 (* x (- (* -1 (log x)) (log x))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (neg.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) n)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))) n))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* x (- (* -1/6 (pow (log x) 3)) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))))) (* 1/2 (/ (* x (- (* 1/24 (pow (log x) 4)) (+ (* -1/2 (* (pow (log x) 2) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))) (+ (* -1/24 (pow (log x) 4)) (+ (* 1/6 (pow (log x) 4)) (* (log x) (+ (* -1/2 (pow (log x) 3)) (+ (* 1/6 (pow (log x) 3)) (* (log x) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2))))))))))) n))) n)) (* -1/2 (* x (- (* 1/2 (pow (log x) 2)) (+ (* -1/2 (pow (log x) 2)) (pow (log x) 2)))))) n)) (* -1/2 (* x (- (* -1 (log x)) (log x))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (neg.f64 (log.f64 x)) (log.f64 x)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 x (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64)) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/8 binary64) (*.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x))) (log.f64 x))))) n)) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(fma.f64 (/.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) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 558 |
| 0 | 119 | 554 |
| 1 | 476 | 488 |
| 2 | 3509 | 488 |
| 0 | 8514 | 488 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)) |
(+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) (log.f64 x)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/6 binary64))) (neg.f64 n))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 #s(literal 1 binary64) n) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
(/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
(-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(/.f64 (log.f64 x) n) |
(*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64))) (-.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal 2 binary64)) (*.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)))) (neg.f64 n)) |
(/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n) (*.f64 (neg.f64 n) (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 2 binary64))) (neg.f64 n))) |
(/.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n))) n) |
(/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) |
(neg.f64 (/.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) n)) |
(-.f64 (/.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)) (neg.f64 n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n))) |
(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 2 binary64))) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (+.f64 (pow.f64 (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (log1p.f64 x)) (-.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) (log.f64 x)))))) |
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(fma.f64 (fabs.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (fabs.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (log1p.f64 x) (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 8 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 8 binary64)) (pow.f64 (log.f64 x) #s(literal 8 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 4 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 12 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 8 binary64)) (pow.f64 (log.f64 x) #s(literal 8 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 4 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 8 binary64)) (pow.f64 (log.f64 x) #s(literal 8 binary64))) (*.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 12 binary64)) (pow.f64 (log.f64 x) #s(literal 12 binary64))) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 8 binary64)) (pow.f64 (log.f64 x) #s(literal 8 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (neg.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (fabs.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (fabs.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (neg.f64 (log1p.f64 x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (exp.f64 (log.f64 (log1p.f64 x))) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 (log1p.f64 x))) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log1p.f64 x)) #s(literal 1 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (neg.f64 (neg.f64 (log1p.f64 x))) (neg.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (fabs.f64 (log1p.f64 x)) (fabs.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (fabs.f64 (neg.f64 (log1p.f64 x))) (fabs.f64 (neg.f64 (log1p.f64 x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (exp.f64 (log.f64 (log1p.f64 x))) (exp.f64 (log.f64 (log1p.f64 x))) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log1p.f64 x) (log.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(*.f64 (*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) n) x) |
(*.f64 (*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) x) n) |
(*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n))) |
(*.f64 n (*.f64 (sinh.f64 (/.f64 (log.f64 x) n)) x)) |
(*.f64 x (*.f64 n (sinh.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (log.f64 x) n))) (*.f64 n x)) #s(literal 2 binary64)) |
(/.f64 (*.f64 (*.f64 n x) (*.f64 #s(literal 2 binary64) (sinh.f64 (/.f64 (log.f64 x) n)))) #s(literal 2 binary64)) |
(*.f64 (pow.f64 (sqrt.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (sqrt.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (sqrt.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) |
(pow.f64 (sqrt.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
(+.f64 (cosh.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64))) (sinh.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 (exp.f64 (log.f64 x)) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 x (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 x (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/4 binary64))) (pow.f64 n #s(literal -1/4 binary64))) |
(pow.f64 (pow.f64 x (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) (neg.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 x (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (pow.f64 (*.f64 x x) (pow.f64 n #s(literal -1/2 binary64))) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) |
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal -1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(+.f64 (cosh.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x))) (sinh.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 x))) (pow.f64 n #s(literal -1 binary64)))) |
(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 (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (log.f64 x)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x))) |
Compiled 79 641 to 5 798 computations (92.7% saved)
47 alts after pruning (42 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 907 | 20 | 927 |
| Fresh | 3 | 22 | 25 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 913 | 47 | 960 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| 23.3% | (/.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64)))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) | |
| 23.3% | (/.f64 (-.f64 (/.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 55.6% | (/.f64 #s(approx (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x))) n)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 30.5% | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 51.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
| ✓ | 52.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 31.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))) | |
| 30.7% | (-.f64 (/.f64 (fma.f64 (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 59.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 18.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))) | |
| ✓ | 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) | |
| 23.4% | #s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))) | |
| 56.2% | #s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n) #s(literal -1/3 binary64))) | |
| 34.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| 40.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal 2 binary64))) n (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) (neg.f64 (log.f64 x)))) (*.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (neg.f64 n)) n))) | |
| 56.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)))) (neg.f64 n))) | |
| 30.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (*.f64 n x) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 (*.f64 x x) n))) | |
| ✓ | 57.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
| 39.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) | |
| 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) | |
| 61.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (log.f64 x)) (neg.f64 n)))) | |
| 58.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)))) | |
| ▶ | 56.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 56.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64))) (neg.f64 n)))) | |
| 29.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) | |
| ✓ | 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 41.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n)))))) (neg.f64 n))) | |
| 45.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))) (neg.f64 n))) | |
| 15.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) | |
| ▶ | 66.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
| 35.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (neg n)) (/.f64 (fma.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) #s(literal 1/24 binary64))) (pow.f64 n #s(literal 4 binary64))))) | |
| ▶ | 43.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) |
| 17.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) | |
| 38.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) | |
| ✓ | 38.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| 16.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) x))) | |
| ▶ | 38.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| 38.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))) | |
| 16.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) | |
| 56.3% | #s(approx (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (log.f64 x))) n)) |
Compiled 4 807 to 2 295 computations (52.3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) | |
| cost-diff | 0 | (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) | |
| cost-diff | 0 | #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64)))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) | |
| 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 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) | |
| 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)) | |
| cost-diff | 0 | (*.f64 n x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (*.f64 n x)) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) | |
| cost-diff | 1 | (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n)) | |
| cost-diff | 3 | (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 916 |
| 0 | 141 | 916 |
| 1 | 232 | 914 |
| 2 | 467 | 910 |
| 3 | 1465 | 910 |
| 4 | 6054 | 910 |
| 0 | 8557 | 901 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) |
#s(literal 1/2 binary64) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n)) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 x) #s(literal 4 binary64)) |
n |
#s(literal -1/24 binary64) |
(*.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)))) |
#s(literal -1/6 binary64) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(neg.f64 n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(neg.f64 (log.f64 x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
#s(literal 1 binary64) |
(*.f64 n x) |
n |
x |
#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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(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 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (/.f64 #s(literal 2 binary64) n)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (log.f64 x)) |
#s(literal 1/2 binary64) |
(log.f64 x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) |
#s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64)))) |
(/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) |
(fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) |
(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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(log1p.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 1/2 binary64) |
(neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
n |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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))) n)) |
(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (-.f64 (+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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))) n) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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)) (neg.f64 n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) |
(-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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)) |
(neg.f64 (log1p.f64 x)) |
(log1p.f64 x) |
x |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n) |
(/.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 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) |
(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 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) |
#s(literal 1/2 binary64) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) |
(fma.f64 (/.f64 #s(literal -1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(pow.f64 (log.f64 x) #s(literal 4 binary64)) |
n |
#s(literal -1/24 binary64) |
(*.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)))) |
(*.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)) |
#s(literal -1/6 binary64) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(neg.f64 n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(neg.f64 (log.f64 x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
#s(literal 1 binary64) |
(*.f64 n x) |
n |
x |
#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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(-.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/2 binary64)))) |
(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 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(exp.f64 (/.f64 #s(literal 2 binary64) n)) |
(/.f64 #s(literal 2 binary64) n) |
#s(literal 2 binary64) |
(*.f64 #s(literal 1/2 binary64) (log.f64 x)) |
(*.f64 (log.f64 x) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(log.f64 x) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) n) (neg.f64 n)))) |
#s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64)))) |
#s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) n) (neg.f64 n))) |
(/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) |
(/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) n) (neg.f64 n)) |
(fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) |
(fma.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 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) n (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) |
(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 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(log1p.f64 x) |
x |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 1/2 binary64) |
(neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
n |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) |
(*.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)))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
#s(literal 1/6 binary64) |
(pow.f64 n #s(literal 3 binary64)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 20.21468908212461 | (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) | |
| accuracy | 24.250958965517437 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 24.277341949058858 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) | |
| accuracy | 24.305773364869577 | (-.f64 (log.f64 x) (log1p.f64 x)) | |
| accuracy | 0.020499716849389005 | (exp.f64 (/.f64 #s(literal 2 binary64) n)) | |
| accuracy | 0.3555879671966852 | (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) | |
| accuracy | 4.882966521448818 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 25.674775880200958 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) | |
| accuracy | 0.00390625 | (log1p.f64 x) | |
| accuracy | 0.19921875 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| accuracy | 19.29249817892471 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| accuracy | 24.305773364869577 | (-.f64 (log1p.f64 x) (log.f64 x)) | |
| accuracy | 0.0 | (*.f64 n x) | |
| accuracy | 0.33191977828893005 | (/.f64 #s(literal 1 binary64) (*.f64 n x)) | |
| accuracy | 19.94861285317685 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) | |
| accuracy | 27.10275882249934 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) | |
| accuracy | 19.23032020796835 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) | |
| accuracy | 24.250958965517437 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 24.26526106062711 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) | |
| accuracy | 24.277341949058858 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| 221.0ms | 91× | 2 | valid |
| 192.0ms | 124× | 1 | valid |
| 147.0ms | 37× | 5 | exit |
| 2.0ms | 4× | 0 | valid |
Compiled 849 to 72 computations (91.5% saved)
ival-pow: 152.0ms (30.6% of total)adjust: 120.0ms (24.1% of total)ival-div: 49.0ms (9.9% of total)ival-log: 39.0ms (7.8% of total)ival-mult: 28.0ms (5.6% of total)ival-sub: 23.0ms (4.6% of total)const: 20.0ms (4% of total)ival-log1p: 20.0ms (4% of total)ival-add: 17.0ms (3.4% of total)ival-exp: 12.0ms (2.4% of total)ival-pow2: 10.0ms (2% of total)ival-neg: 7.0ms (1.4% of total)exact: 1.0ms (0.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(*.f64 n x) |
#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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(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) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) |
#s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64)))) |
(/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) |
(fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (/.f64 #s(literal 2 binary64) n)) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
| Outputs |
|---|
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (* -1/2 (/ (pow (log x) 2) (pow n 2))))) |
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)))) |
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
(* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* 1/6 (/ (pow x 3) n))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* (pow x 3) (+ (* -1 (* x (- (* 1/4 (/ 1 n)) (* 1/24 (/ 1 (pow n 2)))))) (* 1/6 (/ 1 n))))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* (pow x 3) (+ (* x (+ (* -1 (* x (- (* 1/12 (/ 1 (pow n 2))) (* 7/24 (/ 1 n))))) (* -1 (- (* 1/4 (/ 1 n)) (* 1/24 (/ 1 (pow n 2))))))) (* 1/6 (/ 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))) |
(/ (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))) n) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(* n x) |
(* -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)))) |
(+ 1 x) |
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1/2 (pow (log x) 2)) (* n (log x))))) (pow n 3)) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (/ x n) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (+ (* -1 (/ (+ 1/2 (* -1/3 n)) (pow n 2))) (* 1/6 (/ 1 (pow n 3)))))) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
(+ (* -1/6 (pow (log x) 3)) (* n (- (* -1/2 (pow (log x) 2)) (* n (log x))))) |
(+ (* -1/6 (pow (log x) 3)) (+ (* n (- (* -1/2 (pow (log x) 2)) (* n (log x)))) (* (pow n 2) x))) |
(+ (* -1/6 (pow (log x) 3)) (+ (* n (- (* -1/2 (pow (log x) 2)) (* n (log x)))) (* x (+ (* n (* x (- 1/2 (* 1/2 n)))) (pow n 2))))) |
(+ (* -1/6 (pow (log x) 3)) (+ (* n (- (* -1/2 (pow (log x) 2)) (* n (log x)))) (* x (+ (* x (+ (* n (- 1/2 (* 1/2 n))) (* x (+ 1/6 (* -1 (* n (+ 1/2 (* -1/3 n)))))))) (pow n 2))))) |
(* -1 (pow (log x) 3)) |
(- (pow x 3) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3)) |
(* -1 (pow (log x) 4)) |
(- (pow x 4) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4)) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(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 (/ 1 x)) n)) (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* (pow n 3) x))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n))))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* (pow n 3) x))) (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (pow n 3))) (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) n)) (* 4 (/ (pow (log (/ 1 x)) 2) n))) (pow n 3)))) (pow x 2))) (+ (* 1/2 (/ (+ (/ 1 (pow n 2)) (/ (log (/ 1 x)) (pow n 2))) (pow x 2))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n))))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* (pow n 3) x))) (+ (* -1 (/ (+ (* -1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) (pow n 3))) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) n))) (pow n 3)))) (pow x 3))) (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) (pow n 3))) (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) n)) (* 4 (/ (pow (log (/ 1 x)) 2) n))) (pow n 3)))) (pow x 2))) (+ (* 1/2 (/ (+ (/ 1 (pow n 2)) (/ (log (/ 1 x)) (pow n 2))) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))) (pow x 3))) (+ (/ 1/3 (* n (pow x 3))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n)))))))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* n x))) |
(/ (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) n)) (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) n)) (* 4 (/ (pow (log (/ 1 x)) 2) n))) n))) x))) x) |
(/ (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)) (+ (* -1 (/ (+ (* -1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) n)) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) n))) n))) (pow x 2))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) n)) (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) n)) (* 4 (/ (pow (log (/ 1 x)) 2) n))) n))) x)))) x) |
(/ (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) n)) (+ (* -1 (/ (+ (* -1/6 (/ (+ 1 (+ (* -1 (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1))) (+ (* 1/3 (pow (log (/ 1 x)) 2)) (* 2 (log (/ 1 x)))))) n)) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* 2 (/ (* (pow (log (/ 1 x)) 2) (- (* -2/3 (log (/ 1 x))) 1)) n))) n))) (pow x 2))) (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 1 (log (/ 1 x))))) (* -1/2 (pow (log (/ 1 x)) 2)))) n)) (* -1/24 (/ (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 1 (log (/ 1 x)))) n)) (* 4 (/ (pow (log (/ 1 x)) 2) n))) n))) x)) (* -1 (/ (+ (* -1/6 (/ (- (+ (* -4/3 (log (/ 1 x))) (+ (* -1 (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x)))))) (+ (* -1/2 (+ 1 (log (/ 1 x)))) (* -1/4 (pow (log (/ 1 x)) 2))))) 1) n)) (* -1/24 (/ (+ (* -4 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 2 (/ (* (pow (log (/ 1 x)) 2) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (/ (pow (+ 1 (log (/ 1 x))) 2) n))) 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) |
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) |
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(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
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(* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x)) |
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(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x)) |
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 2 (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x)) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x)) |
(* -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)) |
(* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 4))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 4)) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))) (pow n 4)) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log (+ 1 x)) (* -1 (log x))))))))) (pow n 4)) |
(* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 2))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 2)) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))))))) (pow n 4)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(/ 1 n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 3)) |
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) |
(+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) |
(exp (/ 2 n)) |
(/ (+ (log (+ 1 x)) (* -1 (log x))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/ (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) 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) |
(/ (log (+ 1 x)) n) |
(/ (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n) |
(/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 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 (/ (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) (log (+ 1 x))) n)) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x)) n) |
(* (pow n 2) (- (log (+ 1 x)) (log x))) |
(* (pow n 2) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))) |
(* (pow n 2) (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(+ 1 (* 2 (/ 1 n))) |
(+ 1 (+ (* 2 (/ 1 n)) (/ 2 (pow n 2)))) |
(+ 1 (+ (* 2 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (/ 2 (pow n 2))))) |
(* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 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 (/ (+ (* -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 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n)) |
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n)) |
(* -1 (* (pow n 2) (- (log x) (log (+ 1 x))))) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
(+ 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 (/ (+ 2 (* 4/3 (/ 1 n))) n)) 2) n))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 47.0ms | x | @ | -inf | ((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (- (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 (exp (/ 2 n)) (* 1/2 (log x)))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/ (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (pow n 3)) (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ 2 n)) (* 1/2 (log x))) (exp (/ 2 n)) (- (log x) (log (+ 1 x)))) |
| 25.0ms | x | @ | inf | ((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (- (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 (exp (/ 2 n)) (* 1/2 (log x)))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/ (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (pow n 3)) (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ 2 n)) (* 1/2 (log x))) (exp (/ 2 n)) (- (log x) (log (+ 1 x)))) |
| 24.0ms | n | @ | -inf | ((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (- (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 (exp (/ 2 n)) (* 1/2 (log x)))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/ (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (pow n 3)) (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ 2 n)) (* 1/2 (log x))) (exp (/ 2 n)) (- (log x) (log (+ 1 x)))) |
| 23.0ms | x | @ | 0 | ((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (- (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 (exp (/ 2 n)) (* 1/2 (log x)))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/ (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (pow n 3)) (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ 2 n)) (* 1/2 (log x))) (exp (/ 2 n)) (- (log x) (log (+ 1 x)))) |
| 21.0ms | n | @ | 0 | ((+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (- (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 (exp (/ 2 n)) (* 1/2 (log x)))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/ (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (pow n 3)) (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (exp (/ 2 n)) (* 1/2 (log x))) (exp (/ 2 n)) (- (log x) (log (+ 1 x)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1693 | 13142 |
| 1 | 6064 | 12670 |
| 0 | 8205 | 11838 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (* -1/2 (/ (pow (log x) 2) (pow n 2))))) |
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(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))))) |
(* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* 1/6 (/ (pow x 3) n))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* (pow x 3) (+ (* -1 (* x (- (* 1/4 (/ 1 n)) (* 1/24 (/ 1 (pow n 2)))))) (* 1/6 (/ 1 n))))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) n)) (* (pow x 3) (+ (* x (+ (* -1 (* x (- (* 1/12 (/ 1 (pow n 2))) (* 7/24 (/ 1 n))))) (* -1 (- (* 1/4 (/ 1 n)) (* 1/24 (/ 1 (pow n 2))))))) (* 1/6 (/ 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))) |
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(/ (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 2))) (* -1/2 (/ (pow (log x) 2) n))) n) |
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(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))) |
(+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(* n x) |
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(+ (* -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)))) |
(+ 1 x) |
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(/ (+ (* -1/6 (pow (log x) 3)) (* n (- (* -1/2 (pow (log x) 2)) (* n (log x))))) (pow n 3)) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (/ x n) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
(+ (* -1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (+ (* -1 (/ (+ 1/2 (* -1/3 n)) (pow n 2))) (* 1/6 (/ 1 (pow n 3)))))) (* 1/2 (/ 1 n)))) (/ 1 n))) (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)))) |
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(* -1 (pow (log x) 3)) |
(- (pow x 3) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3)) |
(* -1 (pow (log x) 4)) |
(- (pow x 4) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* -2 x))) (pow (log x) 4)) |
(- (* (pow x 4) (+ 1 (* x (- (* 17/6 x) 2)))) (pow (log x) 4)) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(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 (/ 1 x)) n)) (/ (log (/ 1 x)) n)) |
(+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (log (/ 1 x)) (* (pow n 2) x))) (+ (* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* (pow n 3) x))) (+ (/ 1 (* n x)) (/ (log (/ 1 x)) n))))) |
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(* -1 (/ (+ (* -1/6 (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) n))) (* n x))) |
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(* 4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) x)) |
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))) x)) |
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x)) |
(* -1 (/ (+ (* -4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) (* -1 (/ (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (+ (* -4 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* 2 (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) 2))) x)) (* 2 (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))) x)) (+ (* 2 (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* 4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))) x)) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x)) |
(* -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)) |
(* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 4))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 4)) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))))) (pow n 4)) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (+ (log (+ 1 x)) (* -1 (log x))))))))) (pow n 4)) |
(* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 2))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* 1/6 (* n (- (pow (log (+ 1 x)) 3) (pow (log x) 3))))) (pow n 2)) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (+ (* 1/24 (- (pow (log (+ 1 x)) 4) (pow (log x) 4))) (* n (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))))))) (pow n 4)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(exp (/ (log (+ 1 x)) n)) |
(/ 1 n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) (pow n 3)) |
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) |
(+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))))) |
(exp (/ 2 n)) |
(/ (+ (log (+ 1 x)) (* -1 (log x))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))))) n) |
(/ (+ (log (+ 1 x)) (+ (* -1 (log x)) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/ (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) 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) |
(/ (log (+ 1 x)) n) |
(/ (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n) |
(/ (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (+ (log (+ 1 x)) (+ (* 1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) (pow n 3))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 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 (/ (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) (log (+ 1 x))) n)) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x)) n) |
(* (pow n 2) (- (log (+ 1 x)) (log x))) |
(* (pow n 2) (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x))) |
(* (pow n 2) (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) (log x))) |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(+ 1 (* 2 (/ 1 n))) |
(+ 1 (+ (* 2 (/ 1 n)) (/ 2 (pow n 2)))) |
(+ 1 (+ (* 2 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (/ 2 (pow n 2))))) |
(* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 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 (/ (+ (* -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 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n)) |
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n)) |
(* -1 (* (pow n 2) (- (log x) (log (+ 1 x))))) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
(+ 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 (/ (+ 2 (* 4/3 (/ 1 n))) n)) 2) n))) |
| Outputs |
|---|
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (* -1/2 (/ (pow (log x) 2) (pow n 2))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 n #s(literal 3 binary64)))))) |
(+ (* -1 (/ (log x) n)) (+ (* -1 (/ (+ (* 1/24 (/ (pow (log x) 4) n)) (* 1/6 (pow (log x) 3))) (pow n 3))) (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)))) |
(fma.f64 #s(literal -1 binary64) (/.f64 (log.f64 x) n) (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (pow.f64 n #s(literal 3 binary64))) #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)))) |
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(+ 1 (+ (* 2 (/ 1 n)) (+ (* 4/3 (/ 1 (pow n 3))) (/ 2 (pow n 2))))) |
(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 2 binary64) (*.f64 n n))) (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) |
(* -1 (/ (+ (log x) (* -1 (log (+ 1 x)))) n)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log1p.f64 x) (log.f64 x)) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)) |
(neg.f64 (/.f64 (+.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) (neg.f64 (log1p.f64 x))) (log.f64 x)) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64))) n)) (log.f64 x)) n)) |
(* -1 (/ (+ (log x) (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n)))) n)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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)) (log.f64 x)) n)) |
(* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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)) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (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)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (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) (log1p.f64 x)) (*.f64 #s(literal 1 binary64) (log.f64 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)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 (*.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)) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) (neg.f64 (log.f64 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)) |
(neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (+.f64 (log1p.f64 x) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal 1/24 binary64)) #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) (*.f64 #s(literal 1 binary64) (log.f64 x))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(neg.f64 (/.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) (neg.f64 (log1p.f64 x))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n)) |
(* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n))) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) n)) |
(neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n)) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(neg.f64 (/.f64 (-.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 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)) |
(neg.f64 (/.f64 (-.f64 (neg.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)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x) #s(literal -1/2 binary64))) n) #s(literal -1 binary64) (/.f64 (log.f64 x) x)) n)) (/.f64 #s(literal 1 binary64) x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(fma.f64 (/.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) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n)) |
(neg.f64 (/.f64 (-.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) (log.f64 x)) (log1p.f64 x)) n)) |
(* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64))) n) #s(literal -1 binary64) (log.f64 x)) (log1p.f64 x)) n)) |
(* -1 (* (pow n 2) (- (log x) (log (+ 1 x))))) |
(neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (*.f64 n n))) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 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) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 n n)) |
(* (pow n 2) (+ (* -1 (- (log x) (log (+ 1 x)))) (* -1 (/ (+ (* -1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)))) |
(*.f64 (fma.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 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n) #s(literal -1 binary64) (neg.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 n n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(fma.f64 (/.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) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.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) #s(literal -1 binary64) (neg.f64 (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 2 (* 4/3 (/ 1 n))) n)) 2) n))) |
(fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 4/3 binary64) n) #s(literal 2 binary64)) n)) #s(literal 2 binary64)) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 586 |
| 0 | 141 | 586 |
| 1 | 539 | 578 |
| 2 | 4015 | 574 |
| 0 | 8111 | 572 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 (/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (neg.f64 n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(*.f64 n x) |
#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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(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) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))))) |
#s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64)))) |
(/.f64 (fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) (pow.f64 n #s(literal 3 binary64))) |
(fma.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) (neg.f64 (*.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) 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))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x))) |
(exp.f64 (/.f64 #s(literal 2 binary64) n)) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (fma.f64 (-.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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal -1/24 binary64) n))) (neg.f64 n))) n)) n (*.f64 (neg.f64 (log.f64 x)) (neg.f64 n))) (neg.f64 n)) n) |
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(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (log1p.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(log.f64 (/.f64 (exp.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (pow.f64 x (log.f64 x)))) |
(*.f64 (pow.f64 (exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64))) (log.f64 x)) (pow.f64 (exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/4 binary64))) (log.f64 x))) |
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) (/.f64 #s(literal 2 binary64) n))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (neg.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) (fabs.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) (pow.f64 (log.f64 x) #s(literal 1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)) (log.f64 x)) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 1 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (log.f64 x)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (+.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (log.f64 x) #s(literal 2 binary64)))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n))) (log.f64 x)) |
(pow.f64 (sqrt.f64 x) (/.f64 #s(literal 2 binary64) n)) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (*.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (log.f64 (sqrt.f64 x))) |
(pow.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) n))) (sinh.f64 (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) n)))) |
(exp.f64 (*.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 (log.f64 x) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (log.f64 x))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 (log.f64 x) #s(literal 1/4 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) (*.f64 #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))) |
(exp.f64 (*.f64 (/.f64 #s(literal 2 binary64) n) (fma.f64 (log.f64 x) #s(literal 1/4 binary64) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 #s(literal 2 binary64) n))) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 #s(literal 2 binary64) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) (sinh.f64 (/.f64 #s(literal 2 binary64) n)))))) |
(/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (/.f64 #s(literal 2 binary64) n)))) |
(-.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) (sinh.f64 (/.f64 #s(literal -2 binary64) n))) |
(+.f64 (sinh.f64 (/.f64 #s(literal 2 binary64) n)) (cosh.f64 (/.f64 #s(literal -2 binary64) n))) |
(+.f64 (cosh.f64 (/.f64 #s(literal -2 binary64) n)) (sinh.f64 (/.f64 #s(literal 2 binary64) n))) |
(exp.f64 (/.f64 #s(literal 2 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 (log.f64 x) (log1p.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 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (neg.f64 (+.f64 #s(literal 1 binary64) x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 (log.f64 x) (log1p.f64 x)))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 (/.f64 x (-.f64 (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 x #s(literal 1 binary64)))) |
(+.f64 (log.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(+.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))) |
(+.f64 (log.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(log.f64 (/.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) x))) |
(log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) |
Compiled 81 389 to 6 658 computations (91.8% saved)
49 alts after pruning (43 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 929 | 20 | 949 |
| Fresh | 14 | 23 | 37 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 5 | 5 |
| Total | 947 | 49 | 996 |
| Status | Accuracy | Program |
|---|---|---|
| 59.5% | (fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) | |
| 23.3% | (/.f64 (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64)))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 9 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64))) (fma.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64))))) | |
| 23.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) | |
| 23.3% | (/.f64 (-.f64 (/.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 6 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)))) (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 6 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64))))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 55.6% | (/.f64 #s(approx (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x))) n)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) | |
| 30.5% | (-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 52.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 31.9% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))) | |
| 30.7% | (-.f64 (/.f64 (fma.f64 (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)) (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (*.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) (pow.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (neg.f64 (log1p.f64 x)) n)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 59.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 18.7% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.4% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 31.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.1% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) | |
| ✓ | 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38.5% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) | |
| 23.4% | #s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))) | |
| 56.2% | #s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n) #s(literal -1/3 binary64))) | |
| 34.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| 56.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) | |
| ✓ | 57.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
| 39.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) | |
| 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) | |
| 58.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) #s(literal -1/24 binary64) (*.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))))) (neg.f64 n))) n)) (log.f64 x)) (neg.f64 n)))) | |
| 55.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) | |
| 56.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) | |
| 46.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) | |
| 31.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) | |
| 56.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) | |
| ✓ | 57.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 47.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 26.7% | #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 #s(literal 1/2 binary64) x)) x)) n)) | |
| 38.5% | #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)) | |
| 31.4% | #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)) | |
| 47.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) | |
| 31.5% | #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)) | |
| 41.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n)))))) (neg.f64 n))) | |
| 45.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))) (neg.f64 n))) | |
| 15.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) | |
| 41.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (*.f64 n n)))) n)) (/.f64 (neg.f64 (log.f64 x)) n))) | |
| 26.7% | #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))) | |
| 36.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) | |
| 27.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (fma.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (pow.f64 n #s(literal 3 binary64))))) | |
| 19.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))))) | |
| 23.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 38.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
| ✓ | 38.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| 29.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 x) n))))) |
Compiled 6 176 to 1 759 computations (71.5% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) |
#s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n) #s(literal -1/3 binary64))) |
(-.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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (*.f64 n x) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 (*.f64 x x) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
#s(approx (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
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#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64))) (neg.f64 n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (+.f64 (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (-.f64 (log.f64 x) (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (pow.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) #s(literal 2 binary64)))) (neg.f64 n))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
4 calls:
| 20.0ms | x |
| 19.0ms | n |
| 18.0ms | (/.f64 #s(literal 1 binary64) n) |
| 14.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.2% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 84.8% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 86.8% | 2 | x |
| 86.0% | 3 | n |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) |
#s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n) #s(literal -1/3 binary64))) |
(-.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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (*.f64 n x) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 (*.f64 x x) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
#s(approx (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (pow.f64 n #s(literal -1 binary64))) (log.f64 x))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 (exp.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64))) (log.f64 x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (*.f64 n x) (*.f64 (*.f64 n x) (sinh.f64 (/.f64 (log.f64 x) n)))) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (*.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal -1/6 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))))) (neg.f64 n))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (fma.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) n)) n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (pow.f64 n #s(literal 3 binary64))))) |
#s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (fma.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 1 binary64)))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(approx (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (/.f64 (-.f64 (*.f64 #s(literal 3 binary64) (log1p.f64 x)) (*.f64 #s(literal 3 binary64) (log.f64 x))) n)) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (log x)) (-.f64 (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.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))) (*.f64 n n)))))) (neg.f64 n))) |
(-.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (cosh.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (cosh.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (+.f64 #s(approx (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 1/24 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (*.f64 n n)))) n)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(fma.f64 (*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64)))) (pow.f64 x (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 4 binary64))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64))) (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 15.0ms | x |
| 15.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 85.5% | 2 | x |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 n (log.f64 x))) (*.f64 n n))) |
#s(approx (/ (- (pow (pow (+ x 1) (/ 1 n)) 3) (pow (pow x (pow n -1)) 3)) (+ (* (pow x (pow n -1)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (pow (pow (+ x 1) (/ 1 n)) 2))) (*.f64 (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal -3 binary64)) (*.f64 (log.f64 x) #s(literal -3 binary64))) n) #s(literal -1/3 binary64))) |
(-.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 (exp.f64 (/.f64 (log.f64 x) n)) n) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 n x))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (*.f64 (*.f64 n x) (exp.f64 (/.f64 (log.f64 x) n))) n) (*.f64 (*.f64 x x) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (/.f64 #s(literal 2 binary64) n)) (*.f64 #s(literal 1/2 binary64) (log.f64 x)))) |
#s(approx (- (+ (* 2 (* (sinh (/ (/ (log (+ 1 x)) n) 2)) (cosh (/ (/ (log (+ 1 x)) n) 2)))) (cosh (/ (log (+ 1 x)) n))) (pow x (/ 1 n))) (/.f64 (-.f64 (*.f64 (log1p.f64 x) #s(literal 1/2 binary64)) (fma.f64 (log1p.f64 x) #s(literal -1/2 binary64) (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (+ (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (log x)) (neg n)) (/.f64 #s(approx (+ (* (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (neg (* (- (log x) (log (+ 1 x))) n))) n) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) 1/6)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) (pow.f64 n #s(literal 3 binary64))))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 12.0ms | x |
| 10.0ms | n |
| 10.0ms | (/.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 |
|---|---|---|
| 81.0% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 83.2% | 4 | n |
| 72.8% | 3 | x |
| 83.2% | 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 #s(approx (- (neg (log (+ 1 x))) (/ (+ (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2) (/ (+ (* -1/24 (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n)) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) -1/6)) (neg n))) n)) (neg.f64 (log.f64 x))) (log.f64 x)) (neg.f64 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
3 calls:
| 7.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | 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 |
|---|---|---|
| 81.0% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 69.2% | 4 | n |
| 69.2% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 17 to 14 computations (17.6% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #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 (-.f64 #s(approx (log (+ 1 x)) (*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x)) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 #s(approx (exp (/ (log x) n)) (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) n) x)) |
| 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)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 4.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.0% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 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)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) 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))) |
1 calls:
| 3.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 76.7% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 13 to 8 computations (38.5% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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 (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.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)) (-.f64 x (log.f64 x))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 x) n))))) |
4 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| 4.0ms | x |
| 4.0ms | n |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 5 | n |
| 56.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 59.0% | 3 | x |
| 51.7% | 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (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)) (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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
1 calls:
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.0% | 2 | x |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #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)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
4 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) n) |
| 3.0ms | x |
| 3.0ms | n |
| 2.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.0% | 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))) |
| 47.0% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 47.0% | 1 | n |
| 47.0% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.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 (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
4 calls:
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | n |
| 2.0ms | 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 |
|---|---|---|
| 42.7% | 3 | n |
| 42.7% | 3 | x |
| 42.7% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 38.6% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (/.f64 #s(literal 1 binary64) x)) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
4 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | n |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.6% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38.6% | 1 | x |
| 38.6% | 1 | n |
| 38.6% | 1 | (/.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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
4 calls:
| 1.0ms | (/.f64 #s(literal 1 binary64) n) |
| 1.0ms | n |
| 1.0ms | x |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.3% | 1 | n |
| 38.3% | 1 | x |
| 38.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 38.3% | 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 | 1.9412469481039795e-13 | 1.8695962296272953e-8 |
| 11.0ms | 29× | 2 | valid |
| 11.0ms | 53× | 1 | valid |
| 5.0ms | 62× | 0 | valid |
Compiled 673 to 427 computations (36.6% saved)
ival-pow: 15.0ms (63.5% of total)adjust: 4.0ms (16.9% of total)ival-div: 2.0ms (8.5% of total)ival-sub: 1.0ms (4.2% of total)ival-add: 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)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7993918784893364e-15 | 6.454230542622423e-14 |
| 0.0ms | -2.1228846643970104e-94 | -2.1570931997966108e-102 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.454230542622423e-14 | 3.8147419947383126e-7 |
| 0.0ms | -2.1228846643970104e-94 | -2.1570931997966108e-102 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2457894627004862e-7 | 0.0001731894711021198 |
| 0.0ms | -3.8096075893889747e-7 | -1.5543122344752192e-15 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2457894627004862e-7 | 0.0001731894711021198 |
| 0.0ms | -3.8096075893889747e-7 | -1.5543122344752192e-15 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.2457894627004862e-7 | 0.0001731894711021198 |
| 0.0ms | -3.8096075893889747e-7 | -1.5543122344752192e-15 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 2.4323155539115716e+101 | 4.560943376231278e+101 |
| 1.0ms | 1.9412469481039795e-13 | 1.8695962296272953e-8 |
| 10.0ms | 28× | 2 | valid |
| 9.0ms | 13× | 1 | valid |
| 2.0ms | 23× | 0 | valid |
| 1.0ms | 16× | 0 | exit |
Compiled 1 167 to 735 computations (37% saved)
ival-pow: 14.0ms (72.7% of total)adjust: 2.0ms (10.4% of total)ival-div: 1.0ms (5.2% of total)ival-sub: 1.0ms (5.2% of total)ival-add: 1.0ms (5.2% 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 | 1.9412469481039795e-13 | 1.8695962296272953e-8 |
Compiled 655 to 427 computations (34.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.9412469481039795e-13 | 1.8695962296272953e-8 |
Compiled 646 to 427 computations (33.9% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -16.49342188035012 | -0.8676260545014802 |
| 0.0ms | -1.821421515479496e+230 | -1.2687690093238652e+230 |
Compiled 14 to 14 computations (0% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 184 | 1004 |
| 1 | 300 | 993 |
| 2 | 539 | 989 |
| 3 | 1374 | 987 |
| 4 | 5926 | 986 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/1267650600228229401496703205376 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3961408125713217/39614081257132168796771975168 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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)) (+.f64 (/.f64 x 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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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 1397820478929415/75557863725914323419136 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 440000000000000014767947657197280224285723204107668007720005768749462990982746405631409820198533857280 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 x) n))))))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (log (+ 1 x)) (log x)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x)) #s(literal 1 binary64)) x))) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -150000000000000004162208322529698635094275045242057353386246408150574458894145013784477583438250387971449598883529995069340449009709842631090255122489919842238661730927588555689465404323966876699328987786958093002216845482492166144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (+.f64 (-.f64 (neg.f64 (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) (neg.f64 n))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) (log.f64 x)) n)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2535301200456459/1267650600228229401496703205376 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2535301200456459/1267650600228229401496703205376 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3961408125713217/39614081257132168796771975168 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -3757668132438133/18788340662190665823115844774314696219005460391266558965658327772257672200916867547709591987078149624255479808 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 3961408125713217/39614081257132168796771975168 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -944473296573929/4722366482869645213696 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 944473296573929/4722366482869645213696 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)) (fma.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x (pow.f64 n #s(literal -1 binary64))) x #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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)) (+.f64 (/.f64 x 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)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -944473296573929/4722366482869645213696 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 944473296573929/4722366482869645213696 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)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(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 -944473296573929/4722366482869645213696 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 944473296573929/4722366482869645213696 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 (or (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal -944473296573929/4722366482869645213696 binary64)) (not (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 944473296573929/4722366482869645213696 binary64)))) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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 440000000000000014767947657197280224285723204107668007720005768749462990982746405631409820198533857280 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) (*.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (log.f64 x) n))))))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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 440000000000000014767947657197280224285723204107668007720005768749462990982746405631409820198533857280 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (+ (/ (- (neg (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (+ (* (/ (- (pow (log (+ 1 x)) 4) (pow (log x) 4)) n) -1/24) (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) (neg n))) n)) (neg n)) (/ (neg (log x)) n)) #s(literal 0 binary64))))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (pow.f64 n #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1/2 binary64) n) x)) x)))) |
(if (<=.f64 x #s(literal 1397820478929415/75557863725914323419136 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))) #s(approx (/ (- (log (+ 1 x)) (log x)) n) (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 x x) n)) (pow.f64 n #s(literal -1 binary64))) (/.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)) (neg.f64 (/.f64 (-.f64 (neg.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 (/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) x)) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -150000000000000004162208322529698635094275045242057353386246408150574458894145013784477583438250387971449598883529995069340449009709842631090255122489919842238661730927588555689465404323966876699328987786958093002216845482492166144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -10 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -150000000000000004162208322529698635094275045242057353386246408150574458894145013784477583438250387971449598883529995069340449009709842631090255122489919842238661730927588555689465404323966876699328987786958093002216845482492166144 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) (if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -10 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (+ (* (cosh (/ (log x) n)) (* n x)) (* (* n x) (sinh (/ (log x) n)))) (*.f64 n x)) (*.f64 (*.f64 n x) (*.f64 n x)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1769 | 23274 |
| 1 | 6395 | 22047 |
| 0 | 9142 | 20677 |
| 0 | 2353 | 26617 |
| 0 | 8650 | 24861 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 59 | 31 |
| 2 | 373 | 31 |
| 3 | 3875 | 31 |
| 0 | 8189 | 27 |
| 0 | 54 | 363 |
| 0 | 97 | 346 |
| 1 | 377 | 342 |
| 2 | 2661 | 316 |
| 0 | 9588 | 316 |
| 0 | 70 | 558 |
| 0 | 119 | 554 |
| 1 | 476 | 488 |
| 2 | 3509 | 488 |
| 0 | 8514 | 488 |
| 0 | 1693 | 13142 |
| 1 | 6064 | 12670 |
| 0 | 8205 | 11838 |
| 0 | 88 | 586 |
| 0 | 141 | 586 |
| 1 | 539 | 578 |
| 2 | 4015 | 574 |
| 0 | 8111 | 572 |
| 0 | 263 | 1453 |
| 1 | 845 | 1330 |
| 2 | 3085 | 1283 |
| 0 | 8423 | 1173 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 1 000 to 184 computations (81.6% saved)
Compiled 2 026 to 384 computations (81% saved)
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