
Time bar (total: 29.1s)
| 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)
| 17.6s | 7 141× | 5 | exit |
| 1.8s | 2 890× | 2 | valid |
| 1.5s | 2 812× | 1 | valid |
| 307.0ms | 2 554× | 0 | valid |
| 157.0ms | 1 479× | 0 | exit |
ival-pow: 16.2s (81.4% of total)adjust: 2.3s (11.4% of total)ival-div: 656.0ms (3.3% of total)ival-sub: 390.0ms (2% of total)ival-add: 348.0ms (1.7% of total)ival-true: 19.0ms (0.1% of total)exact: 18.0ms (0.1% of total)ival-assert: 11.0ms (0.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 1 | (1.9176058262850454e-157 33422.038732183115) | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 33 | 34 | (9.017478058498784e-129 1.919904028871012e-44) | 0 | - | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 1 | (8.930194354698723e-217 -3.6402275523766616) | 0 | - | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) n) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | cancellation | 107 | 1 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 67 | 0 |
pow.f64 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | sensitivity | 1 | 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 | 17 | |
| ↳ | (/.f64 #s(literal 1 binary64) n) | overflow | 1 | |
| ↳ | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | overflow | 34 | |
| ↳ | (/.f64 #s(literal 1 binary64) n) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 1 |
| - | 51 | 79 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 1 | 0 |
| - | 51 | 0 | 79 |
| number | freq |
|---|---|
| 0 | 80 |
| 1 | 176 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 103.0ms | 224× | 1 | valid |
| 88.0ms | 188× | 2 | valid |
| 8.0ms | 100× | 0 | valid |
Compiled 85 to 28 computations (67.1% saved)
ival-pow: 133.0ms (75.7% of total)adjust: 23.0ms (13.1% of total)ival-div: 9.0ms (5.1% of total)ival-add: 5.0ms (2.8% of total)ival-sub: 5.0ms (2.8% 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 |
|---|---|---|
| ▶ | 57.2% | (-.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 | 0.009070031620653759 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 7.556234989342427 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 23.541501484710558 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 52.0ms | 94× | 2 | valid |
| 50.0ms | 112× | 1 | valid |
| 4.0ms | 50× | 0 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-pow: 73.0ms (77.8% of total)adjust: 11.0ms (11.7% of total)ival-div: 4.0ms (4.3% of total)ival-add: 3.0ms (3.2% of total)ival-sub: 3.0ms (3.2% 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))) |
| 18.0ms | x | @ | -inf | ((- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (+ x 1) (/ 1 n) (pow x (/ 1 n))) |
| 17.0ms | 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)))))) |
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(exp.f64 (*.f64 (log.f64 (exp.f64 (log.f64 n))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) |
(*.f64 (exp.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) (exp.f64 (log.f64 (neg.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(*.f64 (pow.f64 x (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 x (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64)))) |
(*.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)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 345 | 16 | 361 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 345 | 17 | 362 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 29.2% | (/.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)))))))) |
| 29.2% | (/.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)))) | |
| 29.2% | (/.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))) | |
| ✓ | 57.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 41.8% | (-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
| 63.1% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 19.1% | (-.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))) | |
| 23.1% | (-.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))) | |
| 30.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 42.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 9.5% | (*.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))))) | |
| 33.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (/.f64 #s(literal -11/24 binary64) (*.f64 n n))) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) #s(literal 1/4 binary64)) n)) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n))) (*.f64 x x)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x)) | |
| 38.9% | #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)) | |
| 42.1% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) | |
| ▶ | 65.8% | #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)) |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| ▶ | 56.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
Compiled 1 125 to 642 computations (42.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) | |
| cost-diff | 0 | (/.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)))))))) | |
| cost-diff | 2 | (-.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)))))) | |
| cost-diff | 0 | (/.f64 (log1p.f64 x) n) | |
| cost-diff | 0 | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) | |
| cost-diff | 6 | (-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| 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 | (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)) | |
| cost-diff | 0 | (-.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)) | |
| cost-diff | 0 | #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)) | |
| cost-diff | 1 | (/.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 436 |
| 0 | 93 | 430 |
| 1 | 145 | 427 |
| 2 | 261 | 427 |
| 3 | 686 | 427 |
| 4 | 2995 | 425 |
| 0 | 8304 | 422 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#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)) |
(/.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) |
(-.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)) |
(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)) |
#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 (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) |
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 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
(sinh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
(/.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))))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.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)))))) |
(pow.f64 x (/.f64 #s(literal 2 binary64) n)) |
(/.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))))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#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))) (*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64)) n) #s(literal 1 binary64)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) (log.f64 x)) |
(-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log1p.f64 x)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) |
#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 (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) |
n |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
x |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 n #s(literal -1 binary64)) |
n |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(*.f64 n x) |
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(cosh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
(sinh.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
(/.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))))))) |
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(-.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)))))) |
(fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 x (/.f64 #s(literal 2 binary64) n)) |
(/.f64 #s(literal 2 binary64) n) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) |
(*.f64 (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.016288769536884032 | (pow.f64 x (/.f64 #s(literal 3 binary64) n)) | |
| accuracy | 0.06640625 | (/.f64 (log1p.f64 x) n) | |
| accuracy | 0.3867166858302058 | (/.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)))))))) | |
| accuracy | 23.37263472237563 | (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) | |
| accuracy | 0.06640625 | (/.f64 (log1p.f64 x) n) | |
| accuracy | 0.18359375 | (/.f64 (log.f64 x) n) | |
| accuracy | 7.149223326168395 | (-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| accuracy | 26.7122653347895 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) | |
| accuracy | 0.021063739932729534 | (exp.f64 (/.f64 (log.f64 x) n)) | |
| accuracy | 0.18359375 | (/.f64 (log.f64 x) n) | |
| accuracy | 0.845819200785207 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) | |
| accuracy | 17.357212993325906 | #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 | 0.009070031620653759 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| accuracy | 0.290495710298469 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 23.342282734710558 | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 0.289726269536884 | (pow.f64 (log.f64 x) #s(literal 2 binary64)) | |
| accuracy | 1.060503294762322 | #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)) | |
| accuracy | 16.81419090958114 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) | |
| accuracy | 16.82153209313319 | (-.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)) |
| 225.0ms | 94× | 2 | valid |
| 57.0ms | 48× | 1 | valid |
| 46.0ms | 3× | 5 | exit |
| 45.0ms | 107× | 0 | exit |
| 2.0ms | 4× | 0 | valid |
Compiled 462 to 50 computations (89.2% saved)
ival-pow: 103.0ms (30.9% of total)adjust: 57.0ms (17.1% of total)ival-pow2: 42.0ms (12.6% of total)ival-exp: 27.0ms (8.1% of total)ival-div: 27.0ms (8.1% of total)ival-cosh: 15.0ms (4.5% of total)ival-sub: 14.0ms (4.2% of total)ival-log: 12.0ms (3.6% of total)ival-sinh: 11.0ms (3.3% of total)ival-log1p: 10.0ms (3% of total)ival-add: 7.0ms (2.1% of total)ival-mult: 7.0ms (2.1% of total)ival-neg: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.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))) (/.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)) |
(-.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)) |
(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)) |
(-.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (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 (log.f64 x) #s(literal 2 binary64)) |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
| Outputs |
|---|
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (* -1/2 (/ (pow (log x) 2) n)) (log x)) |
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) |
(* -1/2 (/ (pow (log x) 2) n)) |
(+ x (* -1/2 (/ (pow (log x) 2) n))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(exp (/ (log x) n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (log x) n) |
(- 1 (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(- (+ 1 (/ x n)) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (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)))) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(- 1 (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(- (+ 1 (/ x n)) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (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)))) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(/ 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 (* 2 (/ (log x) n))) (* -1 (exp (/ (log x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (/ (* x (exp (/ (log x) n))) n)) (* -1 (exp (/ (log x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (* x (- (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* -1 (/ (exp (/ (log x) n)) n))))) (* -1 (exp (/ (log x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (* x (- (* x (- (* x (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))) (* -1 (/ (exp (/ (log x) n)) n))))) (* -1 (exp (/ (log x) n)))) |
(/ (- 1 (exp (* 3 (/ (log x) n)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))) |
(- (+ (* x (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (/ 1 (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) (/ (exp (* 3 (/ (log x) n))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) |
(- (+ (* x (- (+ (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (* x (- (* 9/2 (/ 1 (* (pow n 2) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (* 3/2 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 (pow n 2))) (+ (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)) (/ (* (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n))) (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (/ 1 (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) (/ (exp (* 3 (/ (log x) n))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) |
(- (+ (* x (- (+ (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (* x (- (+ (* 9/2 (/ 1 (* (pow n 2) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (* x (- (+ (* 9/2 (/ 1 (* (pow n 3) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (* 9/2 (/ 1 (* (pow n 2) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (+ (* -1 (* (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 (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)) (+ (/ (* (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n))) (- (* 9/2 (/ 1 (* (pow n 2) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (* 3/2 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 (pow n 2))) (+ (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)) (/ (* (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n))) (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))) (/ (* (- (* 2 (/ 1 (pow n 2))) (+ (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n))) (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))))))) (+ (* 3/2 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (+ (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 (pow n 2))) (+ (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (/ 1 n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)) (/ (* (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n))) (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (/ 1 (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) (/ (exp (* 3 (/ (log x) n))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) |
(- 1 (exp (* 3 (/ (log x) n)))) |
(- (+ 1 (* 3 (/ x n))) (exp (* 3 (/ (log x) n)))) |
(- (+ 1 (* x (+ (* x (- (* 9/2 (/ 1 (pow n 2))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) (exp (* 3 (/ (log x) n)))) |
(- (+ 1 (* x (+ (* x (- (+ (* 9/2 (/ 1 (pow n 2))) (* x (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) (exp (* 3 (/ (log x) n)))) |
(+ 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 (- (+ (* 9/2 (/ 1 (pow n 3))) (/ 1 n)) (* 9/2 (/ 1 (pow n 2)))))) (* 3/2 (/ 1 n)))) (* 3 (/ 1 n))))) |
(* -1 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(pow (log x) 2) |
(exp (* 3 (/ (log x) n))) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (/ 1 x)))) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) (/ 1/2 (pow x 2))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(* -1 (/ (log (/ 1 x)) n)) |
(- (exp (* -1 (/ (log (/ 1 x)) n))) (+ (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))) (* 1/2 (- (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))))) |
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) (+ (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))) (* 1/2 (- (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (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))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) (+ (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))) (* 1/2 (- (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (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))) (- (* 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))))) (+ (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))) (* 1/2 (- (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n)))))))) |
(- (exp (* -1 (/ (log (/ 1 x)) n))) (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))))) |
(- (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (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))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (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))) (- (* 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))))) (* 1/2 (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ 1 (exp (* -1 (/ (log (/ 1 x)) n))))))) |
(+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (/ 1 (* n x))) (/ 1/2 (* n (pow x 2)))) |
(- (+ (* -1 (/ (log (/ 1 x)) n)) (+ (/ 1 (* n x)) (* 1/3 (/ 1 (* n (pow x 3)))))) (* 1/2 (/ 1 (* n (pow x 2))))) |
(- (exp (* -2 (/ (log (/ 1 x)) n))) (* -1 (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2))) |
(- (+ (exp (* -2 (/ (log (/ 1 x)) n))) (/ (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (* n x))) (* -1 (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2))) |
(- (+ (exp (* -2 (/ (log (/ 1 x)) n))) (/ (* (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))) (+ (* -1 (/ (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (* n x))) (* -1 (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2)))) |
(- (+ (exp (* -2 (/ (log (/ 1 x)) n))) (/ (* (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))) (+ (* -1 (/ (* (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2))) (+ (* -1 (/ (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2) (* n x))) (* -1 (pow (exp (* -1 (/ (log (/ 1 x)) n))) 2))))) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 43.0ms | n | @ | 0 | ((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n))) |
| 35.0ms | n | @ | -inf | ((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n))) |
| 33.0ms | x | @ | -inf | ((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n))) |
| 29.0ms | n | @ | inf | ((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n))) |
| 27.0ms | x | @ | inf | ((/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)) (/ 1 n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (exp (/ (log x) n)) (/ (log x) n) (- (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (sinh (/ (log x) n))) (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (exp 3) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (pow x (/ 3 n))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1571 | 15630 |
| 1 | 5443 | 15488 |
| 0 | 8557 | 14541 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
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(+ x (* -1/2 (/ (pow (log x) 2) n))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) |
1 |
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(/ (exp (/ (log x) n)) (* n x)) |
(/ (log x) n) |
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(/ x n) |
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(* -1 (pow (log x) 2)) |
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(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log (+ 1 x)) 2) n)) (* -3 (log (+ 1 x)))) n))) |
(+ 1 (* -1 (/ (+ (* -3 (log (+ 1 x))) (* -1 (/ (+ (* 9/2 (/ (pow (log (+ 1 x)) 3) n)) (* 9/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))) |
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n))) |
| Outputs |
|---|
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (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 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (/.f64 (log.f64 x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) (/.f64 (log.f64 x) n)) |
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(-.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 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (exp.f64 (/.f64 (log.f64 x) n))) |
(- (* -1/2 (/ (pow (log x) 2) n)) (log x)) |
(-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)) |
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) |
(-.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) x) (log.f64 x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) |
(* -1/2 (/ (pow (log x) 2) n)) |
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) |
(+ x (* -1/2 (/ (pow (log x) 2) n))) |
(fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) x) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.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 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #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 (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(-.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))))) |
(- (+ 1 (/ x n)) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (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)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (neg.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)))) (+ (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))) (* 1/2 (- (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n))))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (exp.f64 (/.f64 (log.f64 x) n)) (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))))))) |
(- 1 (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(-.f64 #s(literal 1 binary64) (*.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 1/2 binary64))) |
(- (+ 1 (/ x n)) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 1/2 binary64))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (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)) (*.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 1/2 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)))) (* 1/2 (+ (exp (/ (log x) n)) (/ 1 (exp (/ (log x) n)))))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) (*.f64 (+.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 1/2 binary64))) |
(/ x n) |
(/.f64 x n) |
(* x (+ (* -1/2 (/ x n)) (/ 1 n))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) n) x) |
(* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x) |
(* x (+ (* x (- (* x (+ (* -1/4 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x) |
(- (exp (* 2 (/ (log x) n))) (* -1 (exp (/ (log x) n)))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (/ (* x (exp (/ (log x) n))) n)) (* -1 (exp (/ (log x) n)))) |
(-.f64 (fma.f64 x (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (* x (- (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* -1 (/ (exp (/ (log x) n)) n))))) (* -1 (exp (/ (log x) n)))) |
(-.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (/.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) n)) x (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(- (+ (exp (* 2 (/ (log x) n))) (* x (- (* x (- (* x (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* -1 (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))))) (* -1 (/ (exp (/ (log x) n)) n))))) (* -1 (exp (/ (log x) n)))) |
(-.f64 (fma.f64 (fma.f64 (-.f64 (*.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))) (*.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))) x (*.f64 #s(literal 1 binary64) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n))) x (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/ (- 1 (exp (* 3 (/ (log x) n)))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) |
(- (+ (* x (- (* 3 (/ 1 (* n (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n))))))) (/ (* (- 1 (exp (* 3 (/ (log x) n)))) (- (* 2 (/ 1 n)) (* -1 (/ (exp (/ (log x) n)) n)))) (pow (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))) 2)))) (/ 1 (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) (/ (exp (* 3 (/ (log x) n))) (- (+ 1 (exp (* 2 (/ (log x) n)))) (* -1 (exp (/ (log x) n)))))) |
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(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x))))))))) n) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) n))) n)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -4/3 (pow (log x) 3)) (* -4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* -1/2 (* (log x) (pow (log (+ 1 x)) 2))) (+ (* -1/2 (* (pow (log x) 2) (log (+ 1 x)))) (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))))))) (+ (* 1/3 (* (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))))))) n)) (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -4/3 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 (*.f64 (log1p.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64) (*.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x))))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x)))))))))) n))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (*.f64 (log1p.f64 x) (log.f64 x))))))))) n) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (-.f64 (*.f64 #s(literal -2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) n))) n)) |
(* -1 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (fma.f64 (/.f64 (*.f64 #s(literal 9/2 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) (*.f64 #s(literal 3 binary64) (log.f64 x)))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/2 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 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n) #s(literal -1 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 9/2 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 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) (*.f64 #s(literal 3 binary64) (log.f64 x)))) n)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log (+ 1 x)) 2) n)) (* -3 (log (+ 1 x)))) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (*.f64 (log1p.f64 x) #s(literal -3 binary64))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -3 (log (+ 1 x))) (* -1 (/ (+ (* 9/2 (/ (pow (log (+ 1 x)) 3) n)) (* 9/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.f64 (log1p.f64 x) #s(literal -3 binary64) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (log.f64 x) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 293 |
| 0 | 93 | 287 |
| 1 | 359 | 285 |
| 2 | 2604 | 285 |
| 0 | 9307 | 285 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.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))) (/.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)) |
(-.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)) |
(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)) |
(-.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (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 (log.f64 x) #s(literal 2 binary64)) |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
| Outputs |
|---|
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(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
(pow.f64 x (+.f64 (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
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(sqrt.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 2 binary64)))) |
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(exp.f64 (*.f64 (pow.f64 n #s(literal -1 binary64)) (log.f64 x))) |
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(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 n #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
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(-.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) (neg.f64 n)))) |
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(+.f64 (cosh.f64 (/.f64 (log.f64 x) n)) (sinh.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
(/.f64 (log.f64 x) n) |
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
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(*.f64 (fabs.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64)))) (fabs.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64))) (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))))) |
(*.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) |
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 4 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 4 binary64))) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(pow.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) #s(literal 3/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)) |
(/.f64 (pow.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 (pow.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (/.f64 (log1p.f64 x) n)) #s(literal 2 binary64)) (*.f64 (cosh.f64 (/.f64 (log1p.f64 x) n)) (sinh.f64 (/.f64 (log1p.f64 x) n))))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (log1p.f64 x) n))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (neg.f64 (log1p.f64 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) (neg.f64 n)))) |
(sqrt.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n))) |
(fabs.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) |
(fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) |
(+.f64 (cosh.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 x) n))) (sinh.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (fabs.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (/.f64 (log1p.f64 x) n))) |
(*.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 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (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 (neg.f64 (log1p.f64 x)) (neg.f64 (log1p.f64 x)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(fma.f64 (log1p.f64 x) (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (neg.f64 (log.f64 x)) (log.f64 x))) |
(log.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (+.f64 (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 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(sqrt.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) |
(log.f64 (pow.f64 x (log.f64 x))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))))) |
(*.f64 (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) (pow.f64 (neg.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) (pow.f64 (fabs.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(literal 1 binary64) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 3 binary64) n)) (log.f64 x)) |
(pow.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -3 binary64) n))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) |
(fabs.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(+.f64 (cosh.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x))) (sinh.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x)))) |
(exp.f64 (fma.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (/.f64 #s(literal 3 binary64) n) (log.f64 x))) |
Compiled 44 525 to 3 933 computations (91.2% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 719 | 25 | 744 |
| Fresh | 3 | 8 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 724 | 37 | 761 |
| Status | Accuracy | Program |
|---|---|---|
| 28.8% | (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) 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)))))))) | |
| 28.8% | (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (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))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) | |
| 29.2% | (/.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)))) | |
| ▶ | 29.3% | (/.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)))) |
| 29.2% | (/.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))) | |
| 29.1% | (/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (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)))))))) | |
| 44.5% | (/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))))) 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)))))))) | |
| 44.5% | (/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) 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)))))))) | |
| ✓ | 57.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 41.3% | (-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| 63.1% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 19.1% | (-.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))) | |
| 23.1% | (-.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))) | |
| 30.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 42.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 57.9% | (-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 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 1/2 binary64)))))) n) #s(literal -1 binary64) (*.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| ▶ | 9.5% | (*.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))))) |
| 29.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| 60.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) | |
| 28.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 n x)) (/.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))))))) | |
| 65.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n)) | |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n)) | |
| ✓ | 65.8% | #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)) |
| 42.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) n) (log1p.f64 x)) (log.f64 x)) n)) | |
| 49.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) | |
| 65.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) | |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n)) | |
| 33.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) | |
| ✓ | 56.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| ▶ | 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
| ▶ | 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 38.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x)))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 40.1% | #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))) | |
| ▶ | 39.3% | #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))) |
Compiled 3 545 to 1 953 computations (44.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) | |
| cost-diff | 0 | (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 0 | (*.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))))) | |
| cost-diff | 0 | (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| cost-diff | 0 | (-.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))) | |
| cost-diff | 0 | (/.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)))) | |
| cost-diff | 2 | (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| cost-diff | 2 | (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) | |
| cost-diff | 3 | (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) | |
| 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 | #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) | |
| cost-diff | 4 | (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 843 |
| 0 | 134 | 845 |
| 1 | 217 | 829 |
| 2 | 404 | 814 |
| 3 | 1027 | 780 |
| 4 | 3187 | 780 |
| 0 | 8261 | 762 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
(/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #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) |
#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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x) |
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) |
#s(literal 1 binary64) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
(*.f64 n x) |
n |
#s(literal 1/2 binary64) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.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)))) |
(-.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))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
x |
(pow.f64 n #s(literal -1 binary64)) |
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))) |
(*.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 (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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 2 binary64) n)) |
(/.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))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
(/.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)))) |
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) |
(fma.f64 x x x) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n)) |
(/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) n) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (+.f64 (log.f64 x) (log1p.f64 x)) #s(literal 1/2 binary64) n)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 x) |
x |
(log.f64 x) |
n |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (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))) |
(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) |
#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 (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 n #s(literal -1 binary64)) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) 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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x)) |
(/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x) |
(/.f64 (-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) x) |
(-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) |
(-.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) n)) x)) |
(+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) |
(+.f64 (/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) n) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 (-.f64 (log.f64 x) (/.f64 (fma.f64 (log.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) x)) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) |
(/.f64 (/.f64 (+.f64 #s(literal -1 binary64) (log.f64 x)) x) (neg.f64 n)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) |
(neg.f64 (+.f64 #s(literal -1 binary64) (log.f64 x))) |
#s(literal 1 binary64) |
(neg.f64 (log.f64 x)) |
(log.f64 x) |
x |
(*.f64 n x) |
n |
#s(literal 1/2 binary64) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 #s(literal 1/2 binary64) x) |
(/.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)))) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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)))) |
(-.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 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(literal 2 binary64) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) |
(pow.f64 x (/.f64 #s(literal 2 binary64) n)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
x |
(pow.f64 n #s(literal -1 binary64)) |
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))) |
(*.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 (-.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 (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)) (pow.f64 x (/.f64 #s(literal 2 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))) (-.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)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 2 binary64) n)) |
(/.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))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 x (/.f64 #s(literal 3 binary64) n)) |
(/.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)))) |
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) |
(fma.f64 x x x) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 9.696476342817673 | (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) | |
| accuracy | 10.093880377910637 | (/.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)))) | |
| accuracy | 23.36419528927343 | (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) | |
| accuracy | 23.37263472237563 | (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) | |
| accuracy | 0.021816259768442016 | (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) | |
| accuracy | 0.9726514337718337 | (/.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)))) | |
| accuracy | 1.1904615885425578 | #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) | |
| accuracy | 23.36419528927343 | (-.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))) | |
| accuracy | 0.2109375 | (/.f64 (neg.f64 (log.f64 x)) n) | |
| accuracy | 1.261503800960948 | (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) | |
| accuracy | 7.478122812281409 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| accuracy | 24.295520819385388 | #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) | |
| accuracy | 0.0 | (/.f64 #s(literal 1 binary64) n) | |
| accuracy | 0.08984375 | (/.f64 (/.f64 #s(literal 1 binary64) n) x) | |
| accuracy | 7.811090399602708 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) | |
| accuracy | 23.17348985048231 | #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 | 0.356132519536884 | (pow.f64 (log.f64 x) #s(literal 2 binary64)) | |
| accuracy | 7.478122812281409 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) | |
| accuracy | 17.286205439790198 | (-.f64 (log1p.f64 x) (log.f64 x)) | |
| accuracy | 17.290804342405597 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| 233.0ms | 88× | 2 | valid |
| 117.0ms | 71× | 1 | valid |
| 51.0ms | 84× | 0 | exit |
| 32.0ms | 7× | 3 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 694 to 69 computations (90.1% saved)
ival-pow: 145.0ms (37.4% of total)adjust: 80.0ms (20.7% of total)ival-div: 45.0ms (11.6% of total)ival-exp: 25.0ms (6.5% of total)ival-pow2: 19.0ms (4.9% of total)ival-sub: 18.0ms (4.6% of total)ival-mult: 18.0ms (4.6% of total)ival-add: 17.0ms (4.4% of total)ival-log1p: 10.0ms (2.6% of total)ival-log: 7.0ms (1.8% of total)ival-neg: 3.0ms (0.8% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) 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) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) |
(-.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))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) |
| Outputs |
|---|
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n))))))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2))))))))) |
(- 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))) |
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (* -1/2 (/ (pow (log x) 2) n)) (log x)) |
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(* 1/2 (/ (- 1 (log x)) (* n x))) |
(/ (+ (* 1/2 (/ (- 1 (log x)) n)) (/ (* x (log x)) n)) x) |
(/ (log x) n) |
(pow (exp (/ (log x) n)) 2) |
(/ (- 1 (pow (exp (/ (log x) n)) 2)) (+ 1 (exp (/ (log x) n)))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2/3 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* 4/3 (/ 1 (* (pow n 3) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* n (pow (+ 1 (exp (/ (log x) n))) 3))) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4)))))))) (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (+ 1 (exp (/ (log x) n)))))))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3))))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- 1 (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* 2 (/ x n))) (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2)) |
1 |
(+ 1 (* 2 (/ x n))) |
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n))))) |
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(/ 1 x) |
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6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 38.0ms | x | @ | inf | ((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (pow (pow x (pow n -1)) 2) (/ (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (pow (pow (+ x 1) (/ 1 n)) 2) (* (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (+ (* x x) x) (pow n -1)))) (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (+ 1 (neg (log x))) (* n x)) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (+ (* x x) x) (pow n -1))) |
| 29.0ms | x | @ | -inf | ((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (pow (pow x (pow n -1)) 2) (/ (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (pow (pow (+ x 1) (/ 1 n)) 2) (* (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (+ (* x x) x) (pow n -1)))) (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (+ 1 (neg (log x))) (* n x)) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (+ (* x x) x) (pow n -1))) |
| 26.0ms | n | @ | inf | ((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (pow (pow x (pow n -1)) 2) (/ (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (pow (pow (+ x 1) (/ 1 n)) 2) (* (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (+ (* x x) x) (pow n -1)))) (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (+ 1 (neg (log x))) (* n x)) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (+ (* x x) x) (pow n -1))) |
| 23.0ms | n | @ | -inf | ((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (pow (pow x (pow n -1)) 2) (/ (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (pow (pow (+ x 1) (/ 1 n)) 2) (* (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (+ (* x x) x) (pow n -1)))) (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (+ 1 (neg (log x))) (* n x)) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (+ (* x x) x) (pow n -1))) |
| 19.0ms | x | @ | 0 | ((+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ (/ 1 n) x) (/ 1 n) (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (neg (/ (neg (log x)) n)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (pow (pow x (pow n -1)) 2) (/ (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (+ (pow x (pow n -1)) (pow (+ x 1) (/ 1 n)))) (- (pow (pow (+ x 1) (/ 1 n)) 2) (pow (pow x (pow n -1)) 2)) (pow (pow (+ x 1) (/ 1 n)) 2) (* (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (+ (* x x) x) (pow n -1)))) (/ (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n)))) (- (pow (exp 2) (/ (log (+ 1 x)) n)) (pow x (/ 2 n))) (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (- (log (+ 1 x)) (log x)) (pow (log x) 2) (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/ (+ 1 (neg (log x))) (* n x)) (/ (neg (log x)) n) (pow (+ x 1) (/ 1 n)) (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (pow (+ (* x x) x) (pow n -1))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 2431 | 26656 |
| 0 | 8375 | 24724 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* n x))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (* -1/2 n))))))) |
(+ (* -1 (* n (log x))) (+ (* -1/2 (pow (log x) 2)) (* x (+ n (* x (+ 1/2 (+ (* -1/2 n) (* x (- (* 1/3 n) 1/2))))))))) |
(- 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))) |
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (* -1/2 (/ (pow (log x) 2) n)) (log x)) |
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(* 1/2 (/ (- 1 (log x)) (* n x))) |
(/ (+ (* 1/2 (/ (- 1 (log x)) n)) (/ (* x (log x)) n)) x) |
(/ (log x) n) |
(pow (exp (/ (log x) n)) 2) |
(/ (- 1 (pow (exp (/ (log x) n)) 2)) (+ 1 (exp (/ (log x) n)))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- (+ (* x (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* x (- (+ (* 2/3 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (+ (* 4/3 (/ 1 (* (pow n 3) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 3)))) (+ (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (* n (pow (+ 1 (exp (/ (log x) n))) 3))) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4)))))))) (+ (* 2 (/ 1 (* (pow n 2) (+ 1 (exp (/ (log x) n)))))) (+ (* 2 (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* (pow n 3) (pow (+ 1 (exp (/ (log x) n))) 4))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (* (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) (- (+ (* 2 (/ 1 (* n (+ 1 (exp (/ (log x) n)))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2)))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (+ 1 (exp (/ (log x) n)))))))))) (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3))))) (+ (* 2 (/ 1 (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 2)))) (+ (/ 1 (* n (+ 1 (exp (/ (log x) n))))) (+ (/ (* (- 1 (pow (exp (/ (log x) n)) 2)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow (+ 1 (exp (/ (log x) n))) 2)) (/ (pow (exp (/ (log x) n)) 2) (* (pow n 2) (pow (+ 1 (exp (/ (log x) n))) 3)))))))) (/ (pow (exp (/ (log x) n)) 2) (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (* n (pow (+ 1 (exp (/ (log x) n))) 2))))) (/ 1 (+ 1 (exp (/ (log x) n))))) (/ (pow (exp (/ (log x) n)) 2) (+ 1 (exp (/ (log x) n))))) |
(- 1 (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* 2 (/ x n))) (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2)) |
(- (+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n))))) (pow (exp (/ (log x) n)) 2)) |
1 |
(+ 1 (* 2 (/ x n))) |
(+ 1 (* x (+ (* x (- (* 2 (/ 1 (pow n 2))) (/ 1 n))) (* 2 (/ 1 n))))) |
(+ 1 (* x (+ (* x (- (+ (* 2 (/ 1 (pow n 2))) (* x (- (+ (* 2/3 (/ 1 n)) (* 4/3 (/ 1 (pow n 3)))) (* 2 (/ 1 (pow n 2)))))) (/ 1 n))) (* 2 (/ 1 n))))) |
(/ (* (- 1 (exp (* 2 (/ (log x) n)))) (- 1 (+ (exp (* 2 (/ (log x) n))) (exp (/ (log x) n))))) (- 1 (exp (* 3 (/ (log x) n))))) |
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(/ 1 x) |
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(/ (- (* -2 (log (+ 1 x))) (* -2 (log x))) (- (* -3 (log (+ 1 x))) (* -3 (log x)))) |
(- (+ (* -2 (/ (log (+ 1 x)) (- (* -3 (log (+ 1 x))) (* -3 (log x))))) (* -1 (/ (- (* 2 (/ (pow (log (+ 1 x)) 2) (- (* -3 (log (+ 1 x))) (* -3 (log x))))) (+ (* 2 (/ (pow (log x) 2) (- (* -3 (log (+ 1 x))) (* -3 (log x))))) (/ (* (- (* -2 (log (+ 1 x))) (* -2 (log x))) (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (pow (- (* -3 (log (+ 1 x))) (* -3 (log x))) 2)))) n))) (* -2 (/ (log x) (- (* -3 (log (+ 1 x))) (* -3 (log x)))))) |
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(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -4/3 (pow (log (+ 1 x)) 3)) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n)) |
(* -1 (/ (- (+ (* -2 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -4/3 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 2/3 (pow (log (+ 1 x)) 4)) (* 2/3 (pow (log x) 4))) n))) (* -4/3 (pow (log x) 3))) n)) (* 2 (pow (log (+ 1 x)) 2))) (* 2 (pow (log x) 2))) n))) (* -2 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -2 (log (+ 1 x))) (* -1 (/ (+ (* 4/3 (/ (pow (log (+ 1 x)) 3) n)) (* 2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(* -1 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1/2 (/ (pow (log (+ x (pow x 2))) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ x (pow x 2))) 3) n)) (* 1/2 (pow (log (+ x (pow x 2))) 2))) n))) n))) |
| Outputs |
|---|
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(fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
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(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)) |
(* -1 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -9/2 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 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) |
(* -1 (/ (- (+ (* -3 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -9/2 (pow (log (+ 1 x)) 3)) (* -1 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) n))) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log (+ 1 x)) 2))) (* 9/2 (pow (log x) 2))) n))) (* -3 (log x))) n)) |
(neg.f64 (/.f64 (-.f64 (fma.f64 #s(literal -3 binary64) (log1p.f64 x) (neg.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -9/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (neg.f64 (/.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) n))) (*.f64 #s(literal -9/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) #s(literal -1 binary64) (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n))) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1/2 (/ (pow (log (+ x (pow x 2))) 2) n))) n))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 (fma.f64 x x x)))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ x (pow x 2)))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ x (pow x 2))) 3) n)) (* 1/2 (pow (log (+ x (pow x 2))) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 3 binary64)) n) #s(literal 1/6 binary64) (*.f64 (pow.f64 (log.f64 (fma.f64 x x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))) n) #s(literal -1 binary64) (neg.f64 (log.f64 (fma.f64 x x x)))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 615 |
| 0 | 134 | 605 |
| 1 | 535 | 599 |
| 2 | 3994 | 599 |
| 0 | 8203 | 593 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) 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) |
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64)) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) |
(-.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))) |
(pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 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 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
#s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) |
(-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) |
(pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)) (*.f64 (pow.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.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 (neg.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.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 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 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 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(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 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (neg.f64 (neg.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 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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))))) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) #s(literal 1/2 binary64))) |
(fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(+.f64 (/.f64 (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 2 binary64))))) |
(+.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (neg.f64 (neg.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 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.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 #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 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
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(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64))) |
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#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 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (-.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) |
(fma.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)))) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(fma.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64))) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))))) |
(-.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)))) (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 3 binary64)) (fma.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (/.f64 (log1p.f64 x) 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 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 x x x) (cosh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64)))) (pow.f64 (fma.f64 x x x) (sinh.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) 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 (neg.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (neg.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) (fabs.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) (pow.f64 (fma.f64 x x 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 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 n #s(literal -1 binary64))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log1p.f64 x))) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 x (exp.f64 (log1p.f64 x))) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 x x) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) |
(pow.f64 (*.f64 (exp.f64 (log.f64 x)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 x))) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 (exp.f64 (log1p.f64 x)) x) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 (+.f64 #s(literal 1 binary64) x) (exp.f64 (log.f64 x))) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) (*.f64 x x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.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 (+.f64 (log.f64 x) (log1p.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 (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (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 (pow.f64 (fma.f64 x x 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 (fma.f64 x x 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 (fma.f64 x x x) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) (fabs.f64 (pow.f64 n #s(literal -1/2 binary64)))) |
(pow.f64 (neg.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 n #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 x x x) (*.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (fma.f64 x x x) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(pow.f64 (fma.f64 x x 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 (fma.f64 x x x) (pow.f64 n #s(literal -1 binary64))) |
(+.f64 (cosh.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))) (sinh.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (pow.f64 n #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) #s(literal 2 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) (pow.f64 n #s(literal -1/2 binary64)))) (pow.f64 n #s(literal -1/2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x x) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))))) |
(exp.f64 (*.f64 (+.f64 (log.f64 x) (log1p.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 (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 n #s(literal -1 binary64)))) |
Compiled 71 304 to 5 512 computations (92.3% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 831 | 17 | 848 |
| Fresh | 9 | 19 | 28 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 845 | 40 | 885 |
| Status | Accuracy | Program |
|---|---|---|
| 28.8% | (/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) 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)))))))) | |
| 28.8% | (/.f64 (-.f64 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (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))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))))) | |
| 29.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) | |
| 29.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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)))) | |
| 29.4% | (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.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 (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| 44.5% | (/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) 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)))))))) | |
| ✓ | 57.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 63.1% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 19.1% | (-.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))) | |
| 30.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 42.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 57.9% | (-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 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 1/2 binary64)))))) n) #s(literal -1 binary64) (*.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| ▶ | 29.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
| 60.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) | |
| 65.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n)) | |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n)) | |
| 49.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) | |
| 65.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) | |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) | |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n)) | |
| 33.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) | |
| ✓ | 56.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) | |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.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 (*.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)) n)) | |
| ▶ | 65.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 35.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 39.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) | |
| 40.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n)) | |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n)) | |
| 38.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x)))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 19.1% | #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))) | |
| 39.3% | #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))) | |
| ✓ | 39.3% | #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))) |
| ▶ | 38.1% | #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)))) |
| 39.3% | #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))))) | |
| 19.1% | #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 -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)))) | |
| ▶ | 18.4% | #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))))) |
Compiled 3 996 to 2 163 computations (45.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) | |
| cost-diff | 0 | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| cost-diff | 0 | (log1p.f64 x) | |
| cost-diff | 0 | (/.f64 (log1p.f64 x) n) | |
| cost-diff | 0 | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| cost-diff | 0 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| cost-diff | 0 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | #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))))) | |
| cost-diff | 1 | (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)) | |
| cost-diff | 1 | (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) | |
| 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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n) | |
| cost-diff | 0 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) | |
| cost-diff | 2 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) | |
| cost-diff | 2 | (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 558 |
| 0 | 122 | 552 |
| 1 | 192 | 550 |
| 2 | 334 | 550 |
| 3 | 765 | 546 |
| 4 | 2445 | 540 |
| 0 | 8501 | 520 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) |
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n) |
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
n |
(*.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)) |
(log1p.f64 x) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 1/2 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)))) |
#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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) |
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)) |
(log.f64 (*.f64 n x)) |
(*.f64 n x) |
n |
x |
#s(literal -1 binary64) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
#s(literal 1 binary64) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) n) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) |
#s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x)))) |
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) |
(fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) |
(fma.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) n (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(log1p.f64 (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
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 (log.f64 x) #s(literal 2 binary64)) (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))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(log1p.f64 x) |
#s(literal 2 binary64) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 x) |
#s(literal 1/2 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)))) |
#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)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(pow.f64 (*.f64 n x) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(*.f64 n x) |
n |
x |
#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)) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) |
(pow.f64 (*.f64 n x) #s(literal -1 binary64)) |
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (*.f64 n x))) |
(log.f64 (*.f64 n x)) |
(*.f64 n x) |
n |
x |
#s(literal -1 binary64) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
x |
n |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 x (pow.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) n) |
(pow.f64 n #s(literal -1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
#s(literal 1 binary64) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) |
(exp.f64 #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (log.f64 x) n) |
(log.f64 x) |
x |
n |
(-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) |
(exp.f64 #s(literal 2 binary64)) |
#s(literal 2 binary64) |
(neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07421875 | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) | |
| accuracy | 0.1171875 | (/.f64 (log.f64 x) n) | |
| accuracy | 9.56352784692873 | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| accuracy | 17.28769227316095 | (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) | |
| accuracy | 0.0 | (log1p.f64 x) | |
| accuracy | 0.0 | (exp.f64 (/.f64 (log1p.f64 x) n)) | |
| accuracy | 0.03125 | (/.f64 (log1p.f64 x) n) | |
| accuracy | 11.46775782769441 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| accuracy | 1.2967233794682913 | (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) | |
| accuracy | 6.347692793661479 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) | |
| accuracy | 8.808311516947711 | (log.f64 (*.f64 n x)) | |
| accuracy | 15.127357340700964 | #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))))) | |
| accuracy | 0.0 | (*.f64 n x) | |
| accuracy | 0.3043169406499829 | (/.f64 #s(literal 1 binary64) (*.f64 n x)) | |
| accuracy | 6.347692793661479 | #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 #s(literal 1 binary64) (*.f64 n x))) | |
| accuracy | 15.127357340700964 | #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 | 0.20541000976844204 | (pow.f64 (log.f64 x) #s(literal 2 binary64)) | |
| accuracy | 6.204231083210071 | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) | |
| accuracy | 8.517188436626505 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) | |
| accuracy | 8.531676234585651 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| 108.0ms | 48× | 2 | valid |
| 66.0ms | 49× | 1 | valid |
| 66.0ms | 140× | 0 | invalid |
| 8.0ms | 16× | 0 | exit |
| 2.0ms | 3× | 0 | valid |
Compiled 433 to 65 computations (85% saved)
ival-pow: 71.0ms (32.6% of total)adjust: 33.0ms (15.2% of total)ival-div: 30.0ms (13.8% of total)ival-exp: 18.0ms (8.3% of total)ival-log: 15.0ms (6.9% of total)ival-sub: 13.0ms (6% of total)ival-mult: 12.0ms (5.5% of total)ival-add: 10.0ms (4.6% of total)ival-pow2: 7.0ms (3.2% of total)ival-log1p: 6.0ms (2.8% of total)ival-neg: 3.0ms (1.4% of total)exact: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) 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) |
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) |
(*.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)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 (*.f64 n x)) |
(/.f64 (log.f64 x) n) |
| Outputs |
|---|
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n) |
(+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(- 1 (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))) |
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(* n x) |
(* -1 (+ (log n) (log x))) |
1 |
(+ 1 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(/ x n) |
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(/ (- (+ (* 1/3 (- (* 3 (log (+ 1 x))) (* 3 (log x)))) (+ (* 1/3 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) (pow n 3))) (+ (* 1/3 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n)) (* 1/3 (/ (- (* 9/2 (pow (log (+ 1 x)) 3)) (* 9/2 (pow (log x) 3))) (pow n 2)))))) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 4/3 (pow (log x) 3)) (* 4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* 1/6 (pow (log x) 3)) (+ (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* 1/2 (* (log x) (pow (log (+ 1 x)) 2))) (* 1/2 (* (pow (log x) 2) (log (+ 1 x)))))))))) (pow n 3))) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) n)) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))) (pow n 2))) (+ (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) (pow n 2))) (+ (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))) (pow n 3))) (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 3)) (* 9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x))))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) (pow n 3))))))))) n) |
(* -1 (/ (log x) n)) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (* -1 (log x))) (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n))) n) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (+ (* -3/2 (/ (pow (log x) 3) (pow n 2))) (* -1 (log x)))) (+ (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n)) (+ (* -1/3 (/ (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2)))) (pow n 2))) (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 2)))))) n) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (+ (* -3/2 (/ (pow (log x) 3) (pow n 2))) (+ (* -9/8 (/ (pow (log x) 4) (pow n 3))) (* -1 (log x))))) (+ (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n)) (+ (* -1/3 (/ (* (log x) (+ (* 1/6 (pow (log x) 3)) (* 4/3 (pow (log x) 3)))) (pow n 3))) (+ (* -1/3 (/ (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2)))) (pow n 2))) (+ (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 2))) (+ (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 3)) (+ (* -1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))))))) (pow n 3))) (* 1/3 (/ (* (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 3))))))))) n) |
(* -3 (/ (log x) n)) |
(/ (- (* -9/2 (/ (pow (log x) 2) n)) (* 3 (log x))) n) |
(/ (- (* -9/2 (/ (pow (log x) 3) (pow n 2))) (+ (* 3 (log x)) (* 9/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (* -27/8 (/ (pow (log x) 4) (pow n 3))) (+ (* 3 (log x)) (+ (* 9/2 (/ (pow (log x) 2) n)) (* 9/2 (/ (pow (log x) 3) (pow n 2)))))) n) |
(+ 1 (* 3 (/ (log x) n))) |
(+ 1 (+ (* 3 (/ (log x) n)) (* 9/2 (/ (pow (log x) 2) (pow n 2))))) |
(+ 1 (+ (* 3 (/ (log x) n)) (+ (* 9/2 (/ (pow (log x) 2) (pow n 2))) (* 9/2 (/ (pow (log x) 3) (pow n 3)))))) |
(+ (log x) (* -1 (log (/ 1 n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -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 (+ (log (* -1 x)) (* -1 (log (/ -1 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))) |
(* -1/3 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -4/3 (pow (log x) 3)) (* -4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* -1/2 (* (log x) (pow (log (+ 1 x)) 2))) (+ (* -1/2 (* (pow (log x) 2) (log (+ 1 x)))) (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))))))) (+ (* 1/3 (* (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))))))) n)) (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (+ (* -1 (/ (- (* -9/8 (pow (log x) 4)) (+ (* 1/3 (* (log x) (+ (* -4/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) (+ (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))))) (* 1/3 (* (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x))))))))))) n)) (* 3/2 (pow (log x) 3))) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (- (* 9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)) |
(* -1 (/ (- (* -1 (/ (- (* -9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/8 (/ (pow (log x) 4) n)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))) |
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 n)))) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 78.0ms | x | @ | 0 | ((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n)) |
| 38.0ms | n | @ | -inf | ((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n)) |
| 38.0ms | x | @ | -inf | ((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n)) |
| 38.0ms | x | @ | inf | ((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n)) |
| 28.0ms | n | @ | inf | ((/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log (/ (+ 1 x) x)) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (/ 1 (* n x)) (* n x) (exp (* (log (* n x)) -1)) (* (log (* n x)) -1) (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/ (exp (/ (log x) n)) (* n x)) (- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) (exp (/ (log (+ 1 x)) n)) (/ (log (+ 1 x)) n) (log (+ 1 x)) (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (- 1 (pow (exp 3) (/ (log x) n))) (pow (exp 3) (/ (log x) n)) (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow (log x) 2) (log (* n x)) (/ (log x) n)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1328 | 11154 |
| 1 | 4528 | 11000 |
| 0 | 9196 | 10380 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n) |
(+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
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(/ (- (+ (* 1/3 (- (* 3 (log (+ 1 x))) (* 3 (log x)))) (+ (* 1/3 (/ (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4))) (pow n 3))) (+ (* 1/3 (/ (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))) n)) (* 1/3 (/ (- (* 9/2 (pow (log (+ 1 x)) 3)) (* 9/2 (pow (log x) 3))) (pow n 2)))))) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 4/3 (pow (log x) 3)) (* 4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* 1/6 (pow (log x) 3)) (+ (* 1/6 (pow (log (+ 1 x)) 3)) (+ (* 1/2 (* (log x) (pow (log (+ 1 x)) 2))) (* 1/2 (* (pow (log x) 2) (log (+ 1 x)))))))))) (pow n 3))) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) n)) (+ (* 1/9 (/ (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))) (pow n 2))) (+ (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) (pow n 2))) (+ (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))) (pow n 3))) (* 1/3 (/ (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 3)) (* 9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* 3 (log (+ 1 x))) (* 3 (log x))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x))))))))) (- (+ (* 2 (log x)) (* 2 (log (+ 1 x)))) (* -1 (+ (log x) (log (+ 1 x)))))) (pow n 3))))))))) n) |
(* -1 (/ (log x) n)) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (* -1 (log x))) (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n))) n) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (+ (* -3/2 (/ (pow (log x) 3) (pow n 2))) (* -1 (log x)))) (+ (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n)) (+ (* -1/3 (/ (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2)))) (pow n 2))) (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 2)))))) n) |
(/ (- (+ (* -3/2 (/ (pow (log x) 2) n)) (+ (* -3/2 (/ (pow (log x) 3) (pow n 2))) (+ (* -9/8 (/ (pow (log x) 4) (pow n 3))) (* -1 (log x))))) (+ (* -1/3 (/ (* (log x) (+ (log x) (* 2 (log x)))) n)) (+ (* -1/3 (/ (* (log x) (+ (* 1/6 (pow (log x) 3)) (* 4/3 (pow (log x) 3)))) (pow n 3))) (+ (* -1/3 (/ (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2)))) (pow n 2))) (+ (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 2))) (+ (* 1/3 (/ (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 3)) (+ (* -1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (log x) (* 2 (log x))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))))))) (pow n 3))) (* 1/3 (/ (* (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))) (- (* -3/2 (pow (log x) 2)) (* -1/3 (* (log x) (+ (log x) (* 2 (log x))))))) (pow n 3))))))))) n) |
(* -3 (/ (log x) n)) |
(/ (- (* -9/2 (/ (pow (log x) 2) n)) (* 3 (log x))) n) |
(/ (- (* -9/2 (/ (pow (log x) 3) (pow n 2))) (+ (* 3 (log x)) (* 9/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (* -27/8 (/ (pow (log x) 4) (pow n 3))) (+ (* 3 (log x)) (+ (* 9/2 (/ (pow (log x) 2) n)) (* 9/2 (/ (pow (log x) 3) (pow n 2)))))) n) |
(+ 1 (* 3 (/ (log x) n))) |
(+ 1 (+ (* 3 (/ (log x) n)) (* 9/2 (/ (pow (log x) 2) (pow n 2))))) |
(+ 1 (+ (* 3 (/ (log x) n)) (+ (* 9/2 (/ (pow (log x) 2) (pow n 2))) (* 9/2 (/ (pow (log x) 3) (pow n 3)))))) |
(+ (log x) (* -1 (log (/ 1 n)))) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -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 (+ (log (* -1 x)) (* -1 (log (/ -1 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))) |
(* -1/3 (/ (- (* -3 (log (+ 1 x))) (* -3 (log x))) n)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/3 (- (* 27/8 (pow (log (+ 1 x)) 4)) (* 27/8 (pow (log x) 4)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -4/3 (pow (log x) 3)) (* -4/3 (pow (log (+ 1 x)) 3))) (* -1 (+ (* -1/2 (* (log x) (pow (log (+ 1 x)) 2))) (+ (* -1/2 (* (pow (log x) 2) (log (+ 1 x)))) (+ (* -1/6 (pow (log x) 3)) (* -1/6 (pow (log (+ 1 x)) 3))))))))) (+ (* 1/3 (* (- (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3)))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x)))))))))))) n)) (* 1/3 (- (* -9/2 (pow (log (+ 1 x)) 3)) (* -9/2 (pow (log x) 3))))) (+ (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* 2 (pow (log x) 2)) (* 2 (pow (log (+ 1 x)) 2))) (* -1 (+ (* 1/2 (pow (log x) 2)) (+ (* 1/2 (pow (log (+ 1 x)) 2)) (* (log x) (log (+ 1 x))))))))) (* 1/3 (* (- (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2)))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x)))))))))) n)) (* 1/3 (- (* 9/2 (pow (log (+ 1 x)) 2)) (* 9/2 (pow (log x) 2))))) (* 1/9 (* (- (* -3 (log (+ 1 x))) (* -3 (log x))) (- (+ (* -2 (log x)) (* -2 (log (+ 1 x)))) (* -1 (+ (* -1 (log x)) (* -1 (log (+ 1 x))))))))) n)) (* 1/3 (- (* -3 (log (+ 1 x))) (* -3 (log x))))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (+ (* -1 (/ (- (* -9/8 (pow (log x) 4)) (+ (* 1/3 (* (log x) (+ (* -4/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) (+ (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))))) (* 1/3 (* (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x))))))))))) n)) (* 3/2 (pow (log x) 3))) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(* -1 (/ (- (* 9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)) |
(* -1 (/ (- (* -1 (/ (- (* -9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/8 (/ (pow (log x) 4) n)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))) |
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n))) |
(+ (log (* -1 x)) (* -1 (log (/ -1 n)))) |
| Outputs |
|---|
(/ (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) n) |
(/.f64 (fma.f64 (neg.f64 n) (log.f64 x) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) |
(+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(+.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) x) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(+ (* -1 (log x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)))))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ x (* -1 (log x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) x) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 (fma.f64 #s(literal -1/2 binary64) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(fma.f64 (fma.f64 (-.f64 (*.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x (neg.f64 (log.f64 x))) |
(- 1 (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))) |
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64)) (log.f64 x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)) (/.f64 (log.f64 x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(-.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x)) (/.f64 (log.f64 x) 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) |
(* n x) |
(*.f64 n x) |
(* -1 (+ (log n) (log x))) |
(neg.f64 (+.f64 (log.f64 n) (log.f64 x))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (fma.f64 (-.f64 (fma.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64)))) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) x (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) x (/.f64 #s(literal 1 binary64) n)) x #s(literal 1 binary64)) |
(/ x n) |
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(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) #s(literal 1/3 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 27/8 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 #s(literal 1/9 binary64) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 #s(literal -4/3 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)))))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (-.f64 (*.f64 (*.f64 #s(literal -9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (log.f64 x) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) #s(literal 1/9 binary64)))) (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (log.f64 x) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))))))) (neg.f64 n))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x))))) #s(literal 1/3 binary64) (*.f64 (*.f64 (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64) (fma.f64 (log.f64 x) (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64))))))) #s(literal 1/9 binary64)))) n) #s(literal -1 binary64) (fma.f64 (*.f64 #s(literal 9/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal 1/3 binary64) (*.f64 #s(literal -1/9 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) (+.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (*.f64 #s(literal -3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))))))) (neg.f64 n))) (neg.f64 n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x)))) n) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (log.f64 x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x)))) (*.f64 #s(literal -3 binary64) (log.f64 x)))))) n) #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x))))) n) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (+ (log x) (* -1 (/ (- (+ (* -3/2 (pow (log x) 2)) (* -1 (/ (- (+ (* -1 (/ (- (* -9/8 (pow (log x) 4)) (+ (* 1/3 (* (log x) (+ (* -4/3 (pow (log x) 3)) (* -1/6 (pow (log x) 3))))) (+ (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* 3/2 (pow (log x) 3)) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))))) (* 1/3 (* (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x))))))))))) n)) (* 3/2 (pow (log x) 3))) (+ (* 1/3 (* (log x) (+ (* 1/2 (pow (log x) 2)) (* 2 (pow (log x) 2))))) (* 1/3 (* (+ (* -2 (log x)) (* -1 (log x))) (- (* -3/2 (pow (log x) 2)) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))))))) n))) (* 1/3 (* (log x) (+ (* -2 (log x)) (* -1 (log x)))))) n))) n)) |
(/.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (fma.f64 (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 #s(literal -9/8 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (log.f64 x)))) (*.f64 #s(literal 1/3 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (log.f64 x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x)))) (*.f64 #s(literal -3 binary64) (log.f64 x)))))) (*.f64 #s(literal -3 binary64) (log.f64 x)) (*.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x)))) (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)))))) n) #s(literal -1 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 3/2 binary64) (*.f64 #s(literal -1/3 binary64) (fma.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 5/2 binary64)) (log.f64 x) (*.f64 (fma.f64 #s(literal -3/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x)))) (*.f64 #s(literal -3 binary64) (log.f64 x))))))) n) #s(literal -1 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) (log.f64 x)) (log.f64 x))))) n) #s(literal -1 binary64) (log.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (* 9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n)) |
(/.f64 (fma.f64 #s(literal 9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal 3 binary64) (log.f64 x))) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (- (* -9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -9/2 binary64) (*.f64 #s(literal -9/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (*.f64 #s(literal -3 binary64) (log.f64 x))) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 27/8 (/ (pow (log x) 4) n)) (* -9/2 (pow (log x) 3))) n)) (* 9/2 (pow (log x) 2))) n)) (* -3 (log x))) n)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) n) #s(literal 27/8 binary64) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 9/2 binary64))) n) #s(literal -1 binary64) (*.f64 #s(literal -9/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n)) (*.f64 #s(literal -3 binary64) (log.f64 x))) (neg.f64 n)) |
(+ 1 (* -1 (/ (+ (* -9/2 (/ (pow (log x) 2) n)) (* -3 (log x))) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -3 (log x)) (* -1 (/ (+ (* 9/2 (/ (pow (log x) 3) n)) (* 9/2 (pow (log x) 2))) n))) n))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -3 binary64) (log.f64 x) (/.f64 (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (neg.f64 n))) n) #s(literal -1 binary64) #s(literal 1 binary64)) |
(+ (log (* -1 x)) (* -1 (log (/ -1 n)))) |
(fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) n)) #s(literal -1 binary64) (log.f64 (neg.f64 x))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 392 |
| 0 | 122 | 382 |
| 1 | 448 | 380 |
| 2 | 3169 | 380 |
| 0 | 8258 | 372 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) 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) |
(exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))) |
(*.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)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64))))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (exp.f64 (*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 x) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log.f64 (*.f64 n x)) |
(/.f64 (log.f64 x) n) |
| Outputs |
|---|
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64))) (-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) (*.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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))))))) (neg.f64 (neg.f64 n))) |
(/.f64 (fma.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) n (*.f64 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)))))) (*.f64 n n)) |
(/.f64 (-.f64 (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 1/4 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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 (fma.f64 #s(literal 1/8 binary64) (pow.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 3 binary64))) (*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64))))) (pow.f64 (*.f64 n (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) #s(literal 2 binary64))) n)) |
(/.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)))))) (neg.f64 n)) |
(/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)) |
(neg.f64 (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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))))) (neg.f64 n))) |
(fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n))) |
(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 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n))) |
(fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n))) |
(fma.f64 n (/.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))) |
(fma.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))) |
(-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n)) #s(literal 1/2 binary64))) |
(-.f64 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.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 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (/.f64 (*.f64 (neg.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 (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n))) |
(+.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (log1p.f64 (pow.f64 x #s(literal -1 binary64))) (/.f64 n n))) |
(log1p.f64 (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))) (log.f64 (-.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (neg.f64 (+.f64 x #s(literal 1 binary64))))) (log.f64 (neg.f64 (neg.f64 x)))) |
(-.f64 (log.f64 (+.f64 x (*.f64 x x))) (*.f64 #s(literal 2 binary64) (log.f64 x))) |
(-.f64 (log1p.f64 (*.f64 (neg.f64 x) x)) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (log.f64 (-.f64 (*.f64 x x) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) x))) |
(-.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))) (log.f64 (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) x))) |
(-.f64 (log.f64 (neg.f64 (+.f64 x #s(literal 1 binary64)))) (log.f64 (neg.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)) n)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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))) (neg.f64 n)) |
(/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)) n) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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))) n)) |
(neg.f64 (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 n (log1p.f64 (pow.f64 x #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)) (neg.f64 n))) |
#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)))) |
#s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 n x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (exp.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 n) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 n x))) |
(pow.f64 (*.f64 n x) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))))))) |
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) x)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 n) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n x))) |
(-.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x)))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) (cosh.f64 (log.f64 (*.f64 n x)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (*.f64 n x)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 n x)))) |
(*.f64 n x) |
(*.f64 x n) |
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x)))) |
(exp.f64 (log.f64 (*.f64 n x))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 n x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)) |
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 n #s(literal -1 binary64))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (exp.f64 (neg.f64 (log.f64 x)))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))) |
(*.f64 (pow.f64 n #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 n x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (*.f64 (neg.f64 n) x)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (*.f64 n x))) |
(pow.f64 (*.f64 n x) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))))))) |
(/.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64))) (neg.f64 x)) |
(/.f64 (pow.f64 x #s(literal -1 binary64)) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 n) x)) |
(/.f64 (pow.f64 n #s(literal -1 binary64)) x) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 n) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 n x) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (*.f64 n x)) |
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 n x))) |
(-.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (log.f64 (*.f64 n x)))) |
(+.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) (cosh.f64 (log.f64 (*.f64 n x)))) |
(+.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x))))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 (*.f64 n x)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 n x)))) |
(*.f64 #s(literal -1 binary64) (log.f64 (*.f64 n x))) |
(*.f64 (log.f64 (*.f64 n x)) (log.f64 (exp.f64 #s(literal -1 binary64)))) |
(*.f64 (log.f64 (*.f64 n x)) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (neg.f64 (*.f64 (neg.f64 n) x)))) |
(neg.f64 (log.f64 (*.f64 n x))) |
(fma.f64 (log.f64 n) #s(literal -1 binary64) (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(fma.f64 (log.f64 n) #s(literal -1 binary64) (neg.f64 (log.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 n) (*.f64 (log.f64 x) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (log.f64 n) (neg.f64 (log.f64 x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (*.f64 (log.f64 n) #s(literal -1 binary64))) |
(-.f64 (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 3 binary64)))) (log.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 (*.f64 n x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 (*.f64 n x)))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 (*.f64 n x))) (sinh.f64 (neg.f64 (log.f64 (*.f64 n x))))))))) |
(-.f64 (log.f64 (neg.f64 (pow.f64 n #s(literal -1 binary64)))) (log.f64 (neg.f64 x))) |
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(-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64)) (pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3/2 binary64)) (pow.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3/2 binary64))) |
(*.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(*.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) (pow.f64 #s(literal 1 binary64) #s(literal 3/2 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (log.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))) #s(literal 3 binary64)) |
(pow.f64 (*.f64 (exp.f64 #s(literal 4 binary64)) (exp.f64 #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (*.f64 (exp.f64 #s(literal 2 binary64)) (exp.f64 #s(literal 4 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (fabs.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 4 binary64)) (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3 binary64)) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 3/2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 x) n) #s(literal 3/2 binary64))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 3 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 2 binary64))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) |
(/.f64 (pow.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))) #s(literal 3 binary64)) (pow.f64 (+.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))))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (log.f64 x) n))) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) (neg.f64 n)))) |
(neg.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) #s(literal 3 binary64))) (sinh.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) #s(literal 3 binary64)))) |
(+.f64 (cosh.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (sinh.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) |
(exp.f64 (fma.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 3 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (/.f64 (log.f64 x) n))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 6 binary64))) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (+.f64 (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) |
(*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (log1p.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) |
(fma.f64 (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 (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 (fabs.f64 (log1p.f64 x)) (fabs.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 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 x #s(literal 1 binary64)) 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 (pow.f64 (fabs.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (fabs.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64))) |
(*.f64 (fabs.f64 (log.f64 x)) (fabs.f64 (log.f64 x))) |
(*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(pow.f64 (fabs.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (log.f64 x)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(+.f64 (cosh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (sinh.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(log.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 (log.f64 x)))) |
(log.f64 (pow.f64 x (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log.f64 n) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 n x))) |
(/.f64 (+.f64 (pow.f64 (log.f64 n) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (fma.f64 (log.f64 n) (log.f64 n) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 n) (log.f64 x))))) |
(fma.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 1 binary64)) (log.f64 n)) |
(fma.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log.f64 x)) (log.f64 n)) |
(+.f64 (log.f64 n) (log.f64 x)) |
(+.f64 (log.f64 x) (log.f64 n)) |
(log.f64 (*.f64 n x)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) (neg.f64 (neg.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) (neg.f64 n)) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
Compiled 36 743 to 3 369 computations (90.8% saved)
37 alts after pruning (33 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 490 | 13 | 503 |
| Fresh | 11 | 20 | 31 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 3 | 4 |
| Total | 506 | 37 | 543 |
| Status | Accuracy | Program |
|---|---|---|
| 29.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)))) | |
| 29.3% | (/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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)))) | |
| 29.4% | (/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.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 (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))) | |
| 51.6% | (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 30.9% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 42.2% | (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 57.9% | (-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 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 1/2 binary64)))))) n) #s(literal -1 binary64) (*.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) n))) | |
| 29.0% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| 29.0% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))) | |
| 29.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| 28.4% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 #s(approx (- 1 (pow (exp 3) (/ (log x) n))) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) | |
| 60.3% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) | |
| 30.0% | #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n))) | |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n)) | |
| 65.5% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) | |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n)) | |
| 33.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) | |
| ✓ | 56.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (*.f64 (fma.f64 (log.f64 x) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (+.f64 (log.f64 x) (log1p.f64 x)))) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) | |
| 65.8% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.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 (*.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)) n)) | |
| 46.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) 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)) n)) | |
| 34.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n)) | |
| 40.4% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n)) | |
| 35.7% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 34.6% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 35.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) | |
| 40.3% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n)) | |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n)) | |
| 65.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) | |
| 60.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) | |
| 38.9% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 n x)))) | |
| 49.2% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 n n)))) | |
| 25.0% | #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)))) | |
| 26.0% | #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) | |
| 39.3% | #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))) | |
| ✓ | 39.3% | #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))) |
| ✓ | 38.1% | #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)))) |
Compiled 6 085 to 1 772 computations (70.9% 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 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))) |
#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))) |
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(/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)))) (-.f64 (sqrt.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) n))) (sqrt.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n))))) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(/.f64 (-.f64 (*.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 (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (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))) (*.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 6 binary64)) (/.f64 (log1p.f64 x) n)) (pow.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) #s(literal 2 binary64))) (+.f64 (pow.f64 x (/.f64 #s(literal 3 binary64) n)) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log1p.f64 x) 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)))))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (fma.f64 (log1p.f64 x) (log1p.f64 x) (fma.f64 (log.f64 x) (log.f64 x) (*.f64 (log1p.f64 x) (log.f64 x)))) n)) n)) |
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (-.f64 (fma.f64 (log1p.f64 x) #s(literal 3 binary64) (fma.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)))))) (fma.f64 #s(literal 3 binary64) (log.f64 x) (fma.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 n #s(literal 3 binary64))) #s(literal 27/8 binary64) (*.f64 #s(literal 9/2 binary64) (+.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))))))) n)) (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log1p.f64 x) n)) (-.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))))) |
(-.f64 #s(approx (- (exp (/ (log (+ 1 x)) n)) (cosh (/ (log x) n))) (neg.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) #s(literal 1/24 binary64) (*.f64 #s(literal 1/2 binary64) (fma.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/4 binary64) (fma.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64) (*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (log.f64 x))) (log.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 4 binary64))))))) n) #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal 1/2 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 1/2 binary64)))))) n) #s(literal -1 binary64) (*.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) #s(literal -1 binary64) (neg.f64 (log1p.f64 x))) n))) (sinh.f64 (/.f64 (log.f64 x) 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 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 24.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 17.0ms | n |
| 16.0ms | (/.f64 #s(literal 1 binary64) n) |
| 16.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 87.5% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 82.8% | 2 | x |
| 88.3% | 3 | n |
Compiled 18 to 16 computations (11.1% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 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))) |
#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 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n)) |
(-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) 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 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) n) (log1p.f64 x)) (log.f64 x)) 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))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 n 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)) |
(-.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (pow.f64 n #s(literal 3 binary64))) (/.f64 (+.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)) x) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (exp.f64 (*.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.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)))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 #s(approx (- 1 (pow (exp 3) (/ (log x) n))) (/.f64 (fma.f64 #s(literal -9/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (*.f64 #s(literal -3 binary64) (log.f64 x))) n)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))) (log.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))) 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)) n)) |
(/.f64 (-.f64 (*.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 binary64)) (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64))))) (*.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 (/.f64 #s(literal 2 binary64) n)))) (pow.f64 (+.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(literal 2 binary64))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 #s(literal 3 binary64) (*.f64 n x)) (/.f64 (pow.f64 (exp.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) (fma.f64 (pow.f64 (exp.f64 #s(literal -2 binary64)) (/.f64 (neg.f64 (log.f64 x)) n)) #s(literal 2 binary64) (*.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 2 binary64))))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (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)) |
(/.f64 #s(approx (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) 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)))))))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (*.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))))))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (exp.f64 #s(literal 6 binary64)) (/.f64 (log.f64 x) n))) (+.f64 (pow.f64 (exp.f64 #s(literal 3 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64))) (-.f64 (+.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) (/.f64 (log.f64 x) n)) #s(literal 1 binary64)) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (/.f64 (fma.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 1/2 binary64)))) (*.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) n)) |
(/.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)))))))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.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 (*.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)) 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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 14.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.3% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 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))) |
#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 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) n)) n)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) #s(literal 1/2 binary64))) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal -1/2 binary64))) (log.f64 x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) #s(literal -2 binary64))) n) (log1p.f64 x)) (log.f64 x)) n)) |
(/.f64 (-.f64 (pow.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) #s(literal 2 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)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) (fma.f64 (/.f64 n x) #s(literal -1/2 binary64) (fma.f64 (/.f64 n (*.f64 x x)) #s(literal 1/3 binary64) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x) (/.f64 (-.f64 (*.f64 #s(literal -2/3 binary64) (neg.f64 (log.f64 x))) #s(literal 1 binary64)) (*.f64 x x))))))) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (log.f64 x))) (*.f64 n x)) #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1/3 binary64)) (*.f64 x x)))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) x) (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n)) x)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n (*.f64 #s(approx (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (log.f64 x)) (fma.f64 (/.f64 #s(literal -2/3 binary64) x) (/.f64 (neg.f64 (log.f64 x)) x) (/.f64 (fma.f64 #s(literal -1 binary64) (log.f64 x) #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) x)) #s(literal 1/2 binary64))) n)) n)) |
(-.f64 (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (cosh.f64 (/.f64 (log.f64 x) n))) (sinh.f64 (/.f64 (log.f64 x) 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 (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -2 binary64))) #s(literal 4 binary64))) (+.f64 (pow.f64 x (pow.f64 n #s(literal -1 binary64))) #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 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 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 9.0ms | n |
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | n |
| 88.1% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 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))) |
#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 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 6.0ms | n |
| 6.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 3 | n |
| 88.0% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 4 to 6 computations (-50% saved)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 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))) |
#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 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) x)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 #s(approx (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (neg.f64 (neg.f64 (log.f64 x)))) (log.f64 x)) n)) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) (*.f64 (/.f64 (*.f64 #s(literal 3 binary64) (-.f64 (log1p.f64 x) (log.f64 x))) n) #s(literal 1/3 binary64))) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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:
| 6.0ms | n |
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) n) |
| 4.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 5 | x |
| 83.1% | 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))) |
| 73.0% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 73.0% | 4 | 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) n) (/.f64 (fma.f64 (/.f64 (neg.f64 (log.f64 x)) n) #s(literal -1 binary64) #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 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) x) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 #s(approx (+ (* (- (log (+ 1 x)) (log x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64) n) x)) n)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) (/.f64 (-.f64 (+.f64 #s(approx (+ (* (/ (+ 1 (neg (log x))) (* n x)) 1/2) (neg (/ (neg (log x)) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n x))) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) x)) n)) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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:
| 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 |
|---|---|---|
| 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))) |
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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) |
| Outputs |
|---|
(-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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:
| 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 |
|---|---|---|
| 80.9% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (/ (exp (/ (log x) n)) (* n x)) (pow.f64 (*.f64 (*.f64 n x) (*.f64 n x)) #s(literal -1/2 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 #s(literal 1 binary64) n) x))) |
4 calls:
| 2.0ms | n |
| 2.0ms | (/.f64 #s(literal 1 binary64) 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 |
|---|---|---|
| 59.7% | 4 | x |
| 59.8% | 5 | n |
| 63.2% | 7 | (/.f64 #s(literal 1 binary64) n) |
| 53.1% | 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))) #s(approx (/ (exp (/ (log x) n)) (* n x)) (/.f64 (pow.f64 x #s(literal -1 binary64)) n))) |
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n))) |
| Outputs |
|---|
#s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 #s(literal 1 binary64) n) x))) |
1 calls:
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 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))) #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))) #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 |
|---|---|---|
| 39.3% | 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))) |
| 39.3% | 1 | n |
| 39.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 39.3% | 1 | x |
Compiled 18 to 16 computations (11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) #s(approx (/ (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 | x |
| 1.0ms | n |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 38.1% | 1 | x |
| 38.1% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 38.1% | 1 | n |
| 38.1% | 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)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.9608964206421e-12 | 2.11597435116536e-6 |
| 0.0ms | -2.6725384872383614e-25 | -1.3732377244484462e-28 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.9608964206421e-12 | 2.11597435116536e-6 |
| 0.0ms | -2.6725384872383614e-25 | -1.3732377244484462e-28 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.9608964206421e-12 | 2.11597435116536e-6 |
| 0.0ms | -2.6725384872383614e-25 | -1.3732377244484462e-28 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.9608964206421e-12 | 2.11597435116536e-6 |
| 0.0ms | -0.005873500216199748 | -6.020883923987967e-6 |
Compiled 14 to 14 computations (0% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.708811036062798e-12 | 0.0013074911374745257 |
| 0.0ms | -0.3766687509664912 | -5.237799083346317e-10 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.708811036062798e-12 | 0.0013074911374745257 |
| 0.0ms | -0.3766687509664912 | -5.237799083346317e-10 |
Compiled 16 to 13 computations (18.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.708811036062798e-12 | 0.0013074911374745257 |
| 0.0ms | -0.3766687509664912 | -5.237799083346317e-10 |
Compiled 16 to 13 computations (18.8% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 0.38389096245948107 | 1.6851994385317561 |
| 41.0ms | 9.017478058498784e-129 | 4.1687089050436707e-128 |
| 42.0ms | 2.936779414967185e-193 | 4.180418520981771e-191 |
| 47.0ms | 124× | 1 | valid |
| 32.0ms | 66× | 2 | valid |
| 9.0ms | 114× | 0 | valid |
Compiled 1 886 to 1 081 computations (42.7% saved)
ival-pow: 60.0ms (75.7% of total)adjust: 9.0ms (11.3% of total)ival-div: 5.0ms (6.3% of total)ival-add: 3.0ms (3.8% of total)ival-sub: 2.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.38389096245948107 | 1.6851994385317561 |
Compiled 664 to 379 computations (42.9% saved)
| 1× | egg-herbie |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 152 | 1256 |
| 1 | 234 | 1253 |
| 2 | 368 | 1253 |
| 3 | 765 | 1241 |
| 4 | 2323 | 1229 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5764607523034235/1152921504606846976 binary64)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (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 -3602879701896397/18014398509481984 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 -3602879701896397/18014398509481984 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 -3602879701896397/18014398509481984 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 3981059886425771/642106433294479187895628647812515706243937964211813215270786243050382343053842873793172184604197808987668819440451442591921317413352515120010719576495590924066799764542046459740193329819863612948155914518528 binary64)) #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n))) (if (<=.f64 x #s(literal 5072841394263487/390218568789499028922699653724145788218574767833121393857394619953171467352470702515038262882936496394978366390175827861930996959911035663286272 binary64)) (-.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 2476979795053773/4503599627370496 binary64)) #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 #s(literal 1 binary64) n) x)))))) |
(if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (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 #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 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 (-.f64 (pow.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) (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 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log.f64 x))) n))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -8711228593176025/43556142965880123323311949751266331066368 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 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5764607523034235/1152921504606846976 binary64)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n)) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (or (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal -5764607523034235/1152921504606846976 binary64)) (not (<=.f64 (pow.f64 n #s(literal -1 binary64)) #s(literal 6189700196426901/618970019642690137449562112 binary64)))) (-.f64 (exp.f64 #s(approx (/ (log (+ 1 x)) n) (/.f64 x n))) (pow.f64 x (pow.f64 n #s(literal -1 binary64)))) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) n))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -3602879701896397/18014398509481984 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 -3602879701896397/18014398509481984 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 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 -3602879701896397/18014398509481984 binary64)) (-.f64 #s(approx (pow (+ x 1) (/ 1 n)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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 -3602879701896397/18014398509481984 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 6189700196426901/1237940039285380274899124224 binary64)) #s(approx (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) (/.f64 #s(approx (- (+ (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) (log (+ 1 x))) (log x)) #s(approx (/ (+ (* (log (/ (+ 1 x) x)) n) (* (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) 1/2)) n) (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)))))) |
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(if (<=.f64 x #s(literal 2476979795053773/4503599627370496 binary64)) #s(approx (/ (- (pow (exp 3) (/ (log (+ 1 x)) n)) (pow x (/ 3 n))) (+ (pow (exp 2) (/ (log (+ 1 x)) n)) (- (pow x (/ 2 n)) (* (exp (/ (log (+ 1 x)) n)) (neg (pow x (pow n -1))))))) #s(approx (/ (- 1 (pow (exp 3) (/ (log x) n))) (- (+ (pow (exp 2) (/ (log x) n)) 1) (neg (exp (/ (log x) n))))) (/.f64 (neg.f64 (log.f64 x)) n))) #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 | 1571 | 15630 |
| 1 | 5443 | 15488 |
| 0 | 8557 | 14541 |
| 0 | 80 | 615 |
| 0 | 134 | 605 |
| 1 | 535 | 599 |
| 2 | 3994 | 599 |
| 0 | 8203 | 593 |
| 0 | 53 | 293 |
| 0 | 93 | 287 |
| 1 | 359 | 285 |
| 2 | 2604 | 285 |
| 0 | 9307 | 285 |
| 0 | 8 | 31 |
| 0 | 13 | 31 |
| 1 | 59 | 31 |
| 2 | 373 | 31 |
| 3 | 3875 | 31 |
| 0 | 8189 | 27 |
| 0 | 1328 | 11154 |
| 1 | 4528 | 11000 |
| 0 | 9196 | 10380 |
| 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× | 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 |
Compiled 1 256 to 159 computations (87.3% saved)
Compiled 2 538 to 334 computations (86.8% saved)
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