
Time bar (total: 42.3s)
| 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% | 0% | 3.1% | 7 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 0% | 3.1% | 8 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 0% | 7.8% | 9 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 0% | 7.8% | 10 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 0% | 10.1% | 11 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 0% | 10.1% | 12 |
Compiled 16 to 9 computations (43.8% saved)
ival-pow: 211.0ms (85.6% of total)ival-div: 13.0ms (5.3% of total)ival-add: 11.0ms (4.5% of total)ival-sub: 9.0ms (3.6% of total)const: 2.0ms (0.8% of total)backward-pass: 1.0ms (0.4% of total)| 24.8s | 7062× | 5 | exit |
| 2.2s | 3790× | 1 | valid |
| 1.1s | 1943× | 2 | valid |
| 761.0ms | 2523× | 0 | valid |
| 245.0ms | 1511× | 0 | unsamplable |
ival-pow: 24.7s (90.1% of total)ival-sub: 764.0ms (2.8% of total)backward-pass: 693.0ms (2.5% of total)ival-div: 610.0ms (2.2% of total)ival-add: 572.0ms (2.1% of total)const: 62.0ms (0.2% of total)| 2× | egg-herbie |
| 524× | sum3-define |
| 488× | fnmadd-define |
| 364× | fmsub-define |
| 336× | fnmsub-define |
| 332× | fma-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 76 |
| 1 | 51 | 74 |
| 2 | 105 | 72 |
| 3 | 190 | 72 |
| 4 | 359 | 72 |
| 5 | 746 | 72 |
| 6 | 1125 | 72 |
| 7 | 1472 | 72 |
| 8 | 1662 | 72 |
| 9 | 1874 | 72 |
| 10 | 2030 | 72 |
| 11 | 2042 | 72 |
| 0 | 8 | 11 |
| 1 | 14 | 11 |
| 2 | 18 | 11 |
| 3 | 25 | 11 |
| 4 | 35 | 11 |
| 5 | 67 | 11 |
| 6 | 125 | 11 |
| 7 | 213 | 11 |
| 8 | 297 | 11 |
| 9 | 403 | 11 |
| 10 | 481 | 11 |
| 11 | 487 | 11 |
| 0 | 487 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| Outputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) |
| Inputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))) |
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))) |
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))) |
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))) |
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x))) |
| Outputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(- (pow (+ x 1) (recip n)) (pow x (recip n))) |
(- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))) |
(- (pow (- 1 x) (recip n)) (pow (neg x) (recip n))) |
(- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n)))) |
(- (pow (+ x 1) (/ -1 n)) (pow x (/ -1 n))) |
(neg (- (pow (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n)))) |
(- (pow (neg x) (recip n)) (pow (- 1 x) (recip n))) |
(neg (- (pow (+ x 1) (/ 1 (neg n))) (pow x (/ 1 (neg n))))) |
(- (pow x (/ -1 n)) (pow (+ x 1) (/ -1 n))) |
(- (pow (+ n 1) (/ 1 x)) (pow n (/ 1 x))) |
(- (pow (+ 1 n) (recip x)) (pow n (recip x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 115 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38 | 78 | (4.715418878392134e+115 -4.205590790165266e-60) | 1 | (1.995720973547269e+38 1.7040006381979556) | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 3 | 71 | (4.715418878392134e+115 -4.205590790165266e-60) | 1 | (1.995720973547269e+38 1.7040006381979556) | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) n) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 156.0ms | 292× | 1 | valid |
| 70.0ms | 114× | 2 | valid |
| 15.0ms | 106× | 0 | valid |
Compiled 89 to 26 computations (70.8% saved)
ival-pow: 152.0ms (76.6% of total)ival-add: 21.0ms (10.6% of total)ival-div: 10.0ms (5% of total)backward-pass: 10.0ms (5% of total)ival-sub: 5.0ms (2.5% of total)const: 1.0ms (0.5% of total)Compiled 15 to 8 computations (46.7% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 52.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 15 to 8 computations (46.7% 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))) |
| 124× | fnmadd-define |
| 122× | sum3-define |
| 80× | fma-lowering-fma.f32 |
| 80× | fnmsub-define |
| 80× | fmsub-define |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 29 |
| 1 | 14 | 29 |
| 2 | 18 | 29 |
| 3 | 25 | 29 |
| 4 | 35 | 29 |
| 5 | 67 | 29 |
| 6 | 125 | 29 |
| 7 | 213 | 29 |
| 8 | 297 | 29 |
| 9 | 403 | 29 |
| 10 | 481 | 29 |
| 11 | 487 | 29 |
| 0 | 487 | 29 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(pow (+ x 1) (/ 1 n)) |
(+ x 1) |
x |
1 |
(/ 1 n) |
n |
(pow x (/ 1 n)) |
| Outputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 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))) |
(pow (+ x 1) (/ 1 n)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
x |
1 |
#s(literal 1 binary64) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 99.9% | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 87.2% | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 58.7% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 77.0ms | 146× | 1 | valid |
| 39.0ms | 57× | 2 | valid |
| 8.0ms | 53× | 0 | valid |
Compiled 37 to 9 computations (75.7% saved)
ival-pow: 86.0ms (84.2% of total)backward-pass: 5.0ms (4.9% of total)ival-div: 4.0ms (3.9% of total)ival-add: 3.0ms (2.9% of total)ival-sub: 3.0ms (2.9% of total)const: 1.0ms (1% of total)| Inputs |
|---|
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))> |
#<alt (pow (+ x 1) (/ 1 n))> |
#<alt (+ x 1)> |
#<alt (/ 1 n)> |
#<alt (pow x (/ 1 n))> |
| Outputs |
|---|
#<alt (- 1 (exp (/ (log x) n)))> |
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))> |
#<alt (- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))> |
#<alt (- (+ 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)))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (+ (/ (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)> |
#<alt (/ (+ (/ (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)> |
#<alt (/ (+ (/ (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)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))> |
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))> |
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))> |
#<alt (- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n)))> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (- (+ (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)> |
#<alt (/ (- (+ (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)> |
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))> |
#<alt (* -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))> |
#<alt (* -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))> |
#<alt 1> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))))> |
#<alt (+ 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))))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)))> |
#<alt (+ (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))))> |
#<alt (+ (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)))))> |
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))> |
#<alt (+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)))> |
#<alt (+ (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)))> |
#<alt (+ (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)))> |
#<alt (exp (/ (log (+ 1 x)) n))> |
#<alt (exp (/ (log (+ 1 x)) n))> |
#<alt (exp (/ (log (+ 1 x)) n))> |
#<alt (exp (/ (log (+ 1 x)) n))> |
#<alt 1> |
#<alt (+ 1 (/ (log (+ 1 x)) n))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))> |
#<alt (+ 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))))> |
#<alt 1> |
#<alt (+ 1 (/ (log (+ 1 x)) n))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n)))> |
#<alt 1> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt (+ 1 x)> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (* x (+ 1 (/ 1 x)))> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (/ 1 n)> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))> |
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))> |
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))> |
#<alt (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt (exp (/ (log x) n))> |
#<alt 1> |
#<alt (+ 1 (/ (log x) n))> |
#<alt (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))> |
#<alt (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))))> |
#<alt 1> |
#<alt (+ 1 (/ (log x) n))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 42.0ms | x | @ | 0 | (pow x (/ 1 n)) |
| 21.0ms | x | @ | -inf | (pow x (/ 1 n)) |
| 6.0ms | x | @ | inf | (pow x (/ 1 n)) |
| 2.0ms | n | @ | inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1.0ms | x | @ | inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1× | batch-egg-rewrite |
| 2426× | *-lowering-*.f32 |
| 2426× | *-lowering-*.f64 |
| 1710× | fma-lowering-fma.f32 |
| 1710× | fma-lowering-fma.f64 |
| 1584× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 59 | 24 |
| 2 | 420 | 24 |
| 3 | 4779 | 24 |
| 0 | 8255 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(pow (+ x 1) (/ 1 n)) |
(+ x 1) |
(/ 1 n) |
(pow x (/ 1 n)) |
| Outputs |
|---|
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
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(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x x)))) (exp.f64 (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (exp.f64 (log.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (exp.f64 (log.f64 (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (+.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x)))) (neg.f64 (-.f64 #s(literal 1 binary64) x))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(*.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) (*.f64 x x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x))) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) x)) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) (+.f64 (*.f64 x (*.f64 x x)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) |
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 n))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(neg.f64 (/.f64 #s(literal -1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 2 binary64)) |
(/.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n)) |
(/.f64 (+.f64 (/.f64 #s(literal 2 binary64) n) (/.f64 #s(literal 2 binary64) n)) #s(literal 4 binary64)) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -1 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) n))) |
(/.f64 (+.f64 (*.f64 #s(literal 1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 n #s(literal 2 binary64)) (*.f64 n #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 n #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 n #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) n))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 n #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 n #s(literal 2 binary64)))) |
(/.f64 (+.f64 #s(literal -2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal 2 binary64))) |
(/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) n)) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -1 binary64))) (*.f64 (*.f64 #s(literal -2 binary64) n) (*.f64 #s(literal -2 binary64) n))) |
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) n) (/.f64 #s(literal -1 binary64) n))) (*.f64 (*.f64 #s(literal -2 binary64) n) #s(literal -2 binary64))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 n #s(literal 2 binary64))) #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 n #s(literal 2 binary64)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) n))) #s(literal -4 binary64)) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1 binary64) n) (*.f64 #s(literal -2 binary64) n)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) n))) |
(/.f64 (+.f64 (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) n)) #s(literal -2 binary64)) |
(pow.f64 n #s(literal -1 binary64)) |
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)) |
(*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 2 binary64) n)) |
(*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal -1 binary64)) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))) (/.f64 (log.f64 x) (*.f64 n #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) |
(pow.f64 (exp.f64 (/.f64 #s(literal 1 binary64) n)) (log.f64 x)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) |
(*.f64 (pow.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64)) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 1 binary64))) |
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) (pow.f64 x (/.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 2 binary64)))) |
| 1× | egg-herbie |
| 4290× | *-lowering-*.f32 |
| 4290× | *-lowering-*.f64 |
| 3598× | +-lowering-+.f64 |
| 3598× | +-lowering-+.f32 |
| 2174× | --lowering--.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 263 | 1600 |
| 1 | 811 | 1440 |
| 2 | 2556 | 1362 |
| 0 | 8249 | 1362 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(/ (exp (* -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 (/ (+ (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 x)) n)) (exp (/ (log x) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(* -1 (/ (- (* -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 (/ x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(exp (/ (+ (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 (+ 1 x)) n)) |
(exp (/ (log (+ 1 x)) n)) |
(exp (/ (log (+ 1 x)) n)) |
1 |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
1 |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
1 |
(+ 1 x) |
(+ 1 x) |
(+ 1 x) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
x |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(* x (+ 1 (/ 1 x))) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(/ 1 n) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
1 |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
1 |
(+ 1 (/ (log x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(+.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 #s(literal 1 binary64) (/.f64 x n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) 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) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n 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))) (- (+ (* 1/24 (/ 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 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) (*.f64 x (*.f64 x x))))))) x) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 x n)) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x))) x)) |
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) x) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) 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 (+.f64 (/.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 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/24 binary64) (pow.f64 n #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 11/24 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/4 binary64) n) (/.f64 #s(literal 1/4 binary64) (*.f64 n (*.f64 n n)))))) x))) x)) x)) x) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.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 (log1p.f64 x) (-.f64 (*.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)))) (log.f64 x))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(-.f64 (/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (-.f64 (*.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)))) (log.f64 x))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(/.f64 (+.f64 (+.f64 (log1p.f64 x) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n (*.f64 n n))))) (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n n)) (-.f64 (*.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)))) (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) n)))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) n)) (*.f64 n n)))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log.f64 x) (+.f64 (log1p.f64 x) (*.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)))))) (-.f64 #s(literal 0 binary64) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (/.f64 #s(literal 1/24 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) n)) n)) (-.f64 #s(literal 0 binary64) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 #s(literal 1 binary64) (/.f64 x n)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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)))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.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 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (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 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x))))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+.f64 (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 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 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) x))) 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)) n) (/.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/6 binary64) (*.f64 n (*.f64 n n)))) (/.f64 #s(literal -1/3 binary64) n)) x))) x)) x)) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n 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)))) |
(+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (+.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (log (+ 1 x)) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n) (log1p.f64 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n)) n)) n)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(* x (+ 1 (/ 1 x))) |
(+.f64 #s(literal 1 binary64) x) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(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.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.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.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(exp (/ (log x) n)) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (log x) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) n))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (log x) n)) |
(+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n))) n)) n)) |
Compiled 13112 to 1271 computations (90.3% saved)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 420 | 15 | 435 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 421 | 15 | 436 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
| 23.1% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))) | |
| 23.1% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))) | |
| 23.1% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) 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)))) | |
| ▶ | 72.1% | (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
| 57.6% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| 32.2% | (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) | |
| 63.1% | (/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.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)))) (log.f64 x))) n) | |
| 15.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) | |
| 28.2% | (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.4% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 11.7% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 58.7% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 34.6% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 19.1% | (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
Compiled 748 to 430 computations (42.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (/.f64 (log1p.f64 x) n) |
| ✓ | cost-diff | 0 | (exp.f64 (/.f64 (log1p.f64 x) n)) |
| ✓ | cost-diff | 0 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) n) |
| ✓ | cost-diff | 0 | (pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) |
| ✓ | cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log.f64 x) (log1p.f64 x)) |
| ✓ | cost-diff | 0 | (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
| 2740× | *-lowering-*.f32 |
| 2740× | *-lowering-*.f64 |
| 2462× | +-lowering-+.f64 |
| 2462× | +-lowering-+.f32 |
| 1240× | sum4-define |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 555 |
| 1 | 149 | 541 |
| 2 | 473 | 541 |
| 3 | 1764 | 540 |
| 0 | 8866 | 540 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(- (log x) (log (+ 1 x))) |
(log x) |
x |
(log (+ 1 x)) |
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) |
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) |
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) |
1/2 |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(pow (log (+ 1 x)) 2) |
2 |
(pow (log x) 2) |
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(/ -1/6 n) |
-1/6 |
n |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(pow (log (+ 1 x)) 3) |
3 |
(pow (log x) 3) |
(- 0 n) |
0 |
(- 1 (pow x (/ 1 n))) |
1 |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
n |
(/ (/ 1 (pow x (/ -1 n))) (* x n)) |
(/ 1 (pow x (/ -1 n))) |
1 |
(pow x (/ -1 n)) |
x |
(/ -1 n) |
-1 |
n |
(* x n) |
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) |
1 |
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))) |
x |
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))) |
(/ 1 n) |
n |
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))) |
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
(/ -1/2 n) |
-1/2 |
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) |
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) |
(/ 1/6 (* n (* n n))) |
1/6 |
(* n (* n n)) |
(+ (/ 1/3 n) (/ -1/2 (* n n))) |
(/ 1/3 n) |
1/3 |
(/ -1/2 (* n n)) |
(pow x (/ 1 n)) |
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ (log (+ 1 x)) n) |
(log (+ 1 x)) |
x |
n |
(pow x (/ 1 n)) |
(/ 1 n) |
1 |
| Outputs |
|---|
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(/.f64 (-.f64 (/.f64 (+.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (-.f64 (log.f64 x) (log1p.f64 x))) n) |
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) n)) |
(- (log x) (log (+ 1 x))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(log x) |
(log.f64 x) |
x |
(log (+ 1 x)) |
(log1p.f64 x) |
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) |
(/.f64 (+.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) |
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) |
(+.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 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) |
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) |
(*.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)))) |
1/2 |
#s(literal 1/2 binary64) |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow (log (+ 1 x)) 2) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/ -1/6 n) |
(/.f64 #s(literal -1/6 binary64) n) |
-1/6 |
#s(literal -1/6 binary64) |
n |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow (log (+ 1 x)) 3) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(- 0 n) |
(-.f64 #s(literal 0 binary64) n) |
0 |
#s(literal 0 binary64) |
(- 1 (pow x (/ 1 n))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 |
#s(literal 1 binary64) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(/ (/ 1 (pow x (/ -1 n))) (* x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) |
(/ 1 (pow x (/ -1 n))) |
(/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
1 |
#s(literal 1 binary64) |
(pow x (/ -1 n)) |
(pow.f64 x (/.f64 #s(literal -1 binary64) n)) |
x |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
-1 |
#s(literal -1 binary64) |
n |
(* x n) |
(*.f64 x n) |
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n))) |
(+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))))) |
x |
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))) |
(*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) |
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) |
(/ 1/2 (* n n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
1/2 |
#s(literal 1/2 binary64) |
(* n n) |
(*.f64 n n) |
(/ -1/2 n) |
(/.f64 #s(literal -1/2 binary64) n) |
-1/2 |
#s(literal -1/2 binary64) |
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) |
(/ 1/6 (* n (* n n))) |
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) |
1/6 |
#s(literal 1/6 binary64) |
(* n (* n n)) |
(*.f64 n (*.f64 n n)) |
(+ (/ 1/3 n) (/ -1/2 (* n n))) |
(+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(/ 1/3 n) |
(/.f64 #s(literal 1/3 binary64) n) |
1/3 |
#s(literal 1/3 binary64) |
(/ -1/2 (* n n)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 n n)) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(exp (/ (log (+ 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(/ (log (+ 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
n |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 100.0% | (exp.f64 (/.f64 (log1p.f64 x) n)) |
| ✓ | accuracy | 100.0% | (/.f64 (log1p.f64 x) n) |
| ✓ | accuracy | 73.5% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 95.9% | (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
| ✓ | accuracy | 94.4% | (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) |
| ✓ | accuracy | 91.0% | (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) |
| ✓ | accuracy | 73.5% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) n) |
| ✓ | accuracy | 100.0% | (*.f64 x n) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
| ✓ | accuracy | 89.9% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
| ✓ | accuracy | 100.0% | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) n) |
| ✓ | accuracy | 73.5% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 99.8% | (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1/6 binary64) n) |
| ✓ | accuracy | 99.6% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| 697.0ms | 112× | 5 | exit |
| 143.0ms | 63× | 2 | valid |
| 76.0ms | 51× | 1 | valid |
| 18.0ms | 27× | 0 | unsamplable |
| 2.0ms | 3× | 0 | valid |
Compiled 605 to 58 computations (90.4% saved)
ival-pow: 224.0ms (29.7% of total)ival-log: 111.0ms (14.7% of total)backward-pass: 94.0ms (12.5% of total)ival-div: 69.0ms (9.1% of total)ival-exp: 61.0ms (8.1% of total)ival-mult: 50.0ms (6.6% of total)...c/correct-round.rkt:119:19: 49.0ms (6.5% of total)ival-sub: 41.0ms (5.4% of total)compiled-spec: 29.0ms (3.8% of total)ival-add: 24.0ms (3.2% of total)const: 3.0ms (0.4% of total)| Inputs |
|---|
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))> |
#<alt (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))> |
#<alt (- (log x) (log (+ 1 x)))> |
#<alt (log x)> |
#<alt (- 1 (pow x (/ 1 n)))> |
#<alt (pow x (/ 1 n))> |
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#<alt (/ (/ 1 (pow x (/ -1 n))) (* x n))> |
#<alt (/ 1 (pow x (/ -1 n)))> |
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#<alt (/ -1 n)> |
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n)))> |
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))))> |
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#<alt (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))> |
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#<alt (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))> |
| Outputs |
|---|
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#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))> |
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#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))> |
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))> |
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x)> |
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x)> |
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x)> |
#<alt (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) (* n x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) (* n x))) (/ 1/2 (* n x)))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n)) (* -1 (/ (- (+ (* -1 (- (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)))) (+ (* -1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (/ 1/3 (* n x)))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x)))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)))) (* -1 (/ (- (+ (* -1 (- (+ (* -1/6 (/ (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) n)) (* 1/3 (/ 1 n))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)))) (+ (* -1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))) (* n x))) (/ 1/4 (* n x)))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) (* n x)))) x))) x)) (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) n))) x))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))> |
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#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3))> |
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))> |
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#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n)> |
#<alt (* -1 (/ (- (log x) (log (+ 1 x))) n))> |
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#<alt (* -1 (/ (- (+ (log x) (* -1 (/ (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))) n))) (log (+ 1 x))) n))> |
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))> |
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#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n)))> |
#<alt (- (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1)))) (* -1/2 (/ (pow (log x) 2) n)))> |
#<alt (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x)> |
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#<alt (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ 1 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))))))) x)> |
#<alt (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) (pow x 3))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))))))) (+ 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)))))))) x)> |
#<alt (* -1 (/ (- (+ 1 (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2)))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x))> |
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#<alt (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ 1/3 (* -1/6 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))))) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x))> |
#<alt (* -1 (/ (- (+ 1 (+ (* -1 (/ (- (+ 1/2 (+ (* -1 (/ (- (+ 1/3 (+ (* -1 (/ (- (+ 1/4 (* -1/6 (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2)))))))) (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))))) x)) (* -1/6 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))))) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x))> |
#<alt (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))> |
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#<alt (/ (+ (* -1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (- (* n (- (log x) (log (+ 1 x)))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 2))> |
#<alt (- (log x) (log (+ 1 x)))> |
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#<alt 1> |
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#<alt 1> |
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#<alt (/ (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) n)> |
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#<alt 1> |
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#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
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#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) (* 1/2 (/ 1 n))) x)))))> |
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))> |
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#<alt 1> |
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#<alt (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))> |
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#<alt 1> |
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#<alt (/ x n)> |
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#<alt (* 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)))> |
#<alt (* 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)))> |
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2)))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 3) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)))))> |
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))> |
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 2) (+ 1/2 (* -1/2 x))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))))) (pow n 3))> |
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#<alt (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n)) (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))))) (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (* n x)> |
#<alt (/ 1/6 (pow n 3))> |
#<alt (/ (+ 1/6 (* -1/2 n)) (pow n 3))> |
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))> |
#<alt (/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3))> |
#<alt (/ 1/3 n)> |
#<alt (/ (- 1/3 (* 1/2 (/ 1 n))) n)> |
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)> |
#<alt (/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n)> |
#<alt (/ 1/3 n)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (* 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))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* 1/6 (/ (pow x 2) (pow n 3)))> |
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3))> |
#<alt (/ (* x (- (* 1/3 x) 1/2)) n)> |
#<alt (/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n)> |
#<alt (/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)> |
#<alt (/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)> |
#<alt (* -1 (/ (* x (+ 1/2 (* -1/3 x))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* 1/6 (/ x (pow n 3)))> |
#<alt (/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3))> |
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3))> |
#<alt (* 1/3 (/ x n))> |
#<alt (/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n)> |
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)> |
#<alt (/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n)> |
#<alt (* 1/3 (/ x n))> |
#<alt (* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n))> |
135 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 28.0ms | n | @ | 0 | (/ (log (+ 1 x)) n) |
| 12.0ms | n | @ | 0 | (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
| 8.0ms | x | @ | 0 | (/ (/ 1 (pow x (/ -1 n))) (* x n)) |
| 6.0ms | x | @ | -inf | (/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
| 5.0ms | n | @ | inf | (/ (log (+ 1 x)) n) |
| 1× | batch-egg-rewrite |
| 3010× | *-lowering-*.f32 |
| 3010× | *-lowering-*.f64 |
| 2508× | /-lowering-/.f32 |
| 2508× | /-lowering-/.f64 |
| 1508× | fma-lowering-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 355 |
| 1 | 463 | 328 |
| 2 | 5479 | 328 |
| 0 | 8071 | 328 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(- (- (log x) (log (+ 1 x))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(- (log x) (log (+ 1 x))) |
(log x) |
(- 1 (pow x (/ 1 n))) |
(pow x (/ 1 n)) |
(/ 1 n) |
(/ (/ 1 (pow x (/ -1 n))) (* x n)) |
(/ 1 (pow x (/ -1 n))) |
(pow x (/ -1 n)) |
(/ -1 n) |
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))))) |
(* x (+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))))) |
(+ (/ 1 n) (* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))))) |
(- (exp (/ (log (+ 1 x)) n)) (pow x (/ 1 n))) |
(exp (/ (log (+ 1 x)) n)) |
(/ (log (+ 1 x)) n) |
(log (+ 1 x)) |
(pow (log x) 3) |
(pow (log x) 2) |
(/ -1/6 n) |
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(* x n) |
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) |
(* x (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))))) |
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) |
| Outputs |
|---|
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) |
(-.f64 (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))) |
(-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))) |
(fma.f64 (log.f64 x) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))) |
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 x) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))) |
(fma.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (+.f64 (log1p.f64 x) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)))) |
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) |
(fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n)) |
(neg.f64 (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (/.f64 n #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) #s(literal 3 binary64)) (pow.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (-.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)))) |
(/.f64 (*.f64 x (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x)))))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(/.f64 (*.f64 x (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x x))))) x) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(/.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) x) (-.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) x) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) |
(+.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (*.f64 x (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) x) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) x)) |
(fma.f64 x (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(fma.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) x (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) (-.f64 (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) (*.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) (-.f64 (/.f64 x (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 x (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) |
(/.f64 (*.f64 x (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))))) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))))))) |
(/.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n))))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) x) (+.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/36 binary64) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) x) (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x) |
| 1× | egg-herbie |
| 3572× | *-lowering-*.f32 |
| 3572× | *-lowering-*.f64 |
| 3166× | +-lowering-+.f64 |
| 3166× | +-lowering-+.f32 |
| 1712× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1322 | 11436 |
| 1 | 4580 | 10803 |
| 0 | 8358 | 10803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x))) |
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x))) x) |
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)))) x) |
(/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) n)) (+ (* 1/3 (/ 1 n)) (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) n)))) (pow x 2))) (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (+ (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ 1 n))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n))) x)) (* -1 (/ (- (+ (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/4 (/ 1 n))) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n))) (pow x 3)))))) x) |
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(exp (* -1 (/ (log (/ 1 x)) n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 3))))) |
(exp (/ (+ (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 (+ 1 x)) n)) |
(exp (/ (log (+ 1 x)) n)) |
(exp (/ (log (+ 1 x)) n)) |
1 |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log (+ 1 x)) 2) (pow n 2))) (/ (log (+ 1 x)) n)))) |
1 |
(+ 1 (/ (log (+ 1 x)) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (pow (log (+ 1 x)) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log (+ 1 x))) (* -1 (/ (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) n)) (* 1/2 (pow (log (+ 1 x)) 2))) n))) n))) |
(/ 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))) |
(* -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))))) |
(/ (+ (log -1) (* -1 (log (/ -1 x)))) n) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (/ 1 (* n x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) (/ (log -1) n))) |
(+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) (/ (log -1) n))) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
(/ (log (+ 1 x)) n) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (pow (log x) 3) n)) |
(+ (* -1/6 (/ (pow x 3) n)) (* 1/6 (/ (pow (log x) 3) n))) |
(+ (* 1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (- (* 1/4 (/ x n)) (* 1/6 (/ 1 n))))) |
(+ (* 1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (- (* x (+ (* -7/24 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n))))) |
(* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))) |
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x) |
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x) |
(/ (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* -1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (+ (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)) (* -1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (pow x 3)))))) x) |
(* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x))) |
(* -1 (/ (+ (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n)) (* 1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))) (* 1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n)))))) (* 1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x))) x)) (* -1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x)) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(* n x) |
(/ 1/6 (pow n 3)) |
(/ (+ 1/6 (* -1/2 n)) (pow n 3)) |
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)) |
(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)) |
(/ 1/3 n) |
(/ (- 1/3 (* 1/2 (/ 1 n))) n) |
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n) |
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n) |
(/ 1/3 n) |
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(* 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)))) |
(* 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)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/ (* x (- (* 1/3 x) 1/2)) n) |
(/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n) |
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(* -1 (/ (* x (+ 1/2 (* -1/3 x))) n)) |
(* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* 1/6 (/ x (pow n 3))) |
(/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3)) |
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3)) |
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3)) |
(* 1/3 (/ x n)) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n) |
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n) |
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n) |
(* 1/3 (/ x n)) |
(* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n)) |
| Outputs |
|---|
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n)))))) (/.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (-.f64 #s(literal 0 binary64) x)) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))) (/.f64 (+.f64 (log.f64 x) (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n)) |
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x))) |
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(/ (+ 1/6 (* n (- (* 1/3 n) 1/2))) (pow n 3)) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 n (+.f64 (*.f64 n #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (*.f64 n (*.f64 n n))) |
(/ 1/3 n) |
(/.f64 #s(literal 1/3 binary64) n) |
(/ (- 1/3 (* 1/2 (/ 1 n))) n) |
(/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/2 binary64) n)) n) |
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n) |
(/.f64 (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) n) |
(/ (- (+ 1/3 (/ 1/6 (pow n 2))) (* 1/2 (/ 1 n))) n) |
(/.f64 (-.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) n)) n) |
(/ 1/3 n) |
(/.f64 #s(literal 1/3 binary64) n) |
(* -1 (/ (- (* 1/2 (/ 1 n)) 1/3) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal -1/3 binary64)) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n)) #s(literal -1/3 binary64)) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 n)) 1/2) n)) 1/3) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)) n)) #s(literal -1/3 binary64)) n)) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/2 binary64) n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/2 binary64) n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) (/.f64 #s(literal 1/2 binary64) n)))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* (pow x 2) (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(* 1/6 (/ (pow x 2) (pow n 3))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (*.f64 n n))) |
(/ (+ (* 1/6 (pow x 2)) (* n (* x (+ 1/2 (* -1/2 x))))) (pow n 3)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))) (*.f64 n (*.f64 n n))) |
(/ (+ (* 1/6 (pow x 2)) (* n (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))))) (pow n 3)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))) (*.f64 n (*.f64 n n))) |
(/ (* x (- (* 1/3 x) 1/2)) n) |
(/.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) n) |
(/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n) |
(/.f64 (+.f64 (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n) |
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n) |
(/ (+ (* 1/6 (/ (pow x 2) (pow n 2))) (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n) |
(* -1 (/ (* x (+ 1/2 (* -1/3 x))) n)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64))) n)) |
(* -1 (/ (+ (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) n)) n)) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 2) n)) (* x (+ 1/2 (* -1/2 x)))) n)) (* x (+ 1/2 (* -1/3 x)))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/3 binary64)))) (/.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) n)) n)) n)) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(* 1/6 (/ x (pow n 3))) |
(*.f64 #s(literal 1/6 binary64) (/.f64 x (*.f64 n (*.f64 n n)))) |
(/ (+ (* -1/2 (* n x)) (* 1/6 x)) (pow n 3)) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x n)) (*.f64 x #s(literal 1/6 binary64))) (*.f64 n (*.f64 n n))) |
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3)) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x n))))) (*.f64 n (*.f64 n n))) |
(/ (+ (* 1/6 x) (* n (+ (* -1/2 x) (* 1/3 (* n x))))) (pow n 3)) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 1/3 binary64) (*.f64 x n))))) (*.f64 n (*.f64 n n))) |
(* 1/3 (/ x n)) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) n) |
(/ (+ (* -1/2 (/ x n)) (* 1/3 x)) n) |
(/.f64 (+.f64 (*.f64 x #s(literal 1/3 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 x n))) n) |
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x n)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n n)))) n) |
(/ (+ (* -1/2 (/ x n)) (+ (* 1/6 (/ x (pow n 2))) (* 1/3 x))) n) |
(/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x n)) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) (*.f64 n n)))) n) |
(* 1/3 (/ x n)) |
(/.f64 (*.f64 x #s(literal 1/3 binary64)) n) |
(* -1 (/ (+ (* -1/3 x) (* 1/2 (/ x n))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (*.f64 x #s(literal 1/2 binary64)) n)) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) n)) n)) n)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 x) (* 1/6 (/ x n))) n)) (* -1/3 x)) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 x #s(literal -1/3 binary64)) (/.f64 (+.f64 (*.f64 x #s(literal -1/2 binary64)) (/.f64 (*.f64 x #s(literal 1/6 binary64)) n)) n)) n)) |
Compiled 53973 to 4212 computations (92.2% saved)
40 alts after pruning (39 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1246 | 37 | 1283 |
| Fresh | 8 | 2 | 10 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1258 | 40 | 1298 |
| Status | Accuracy | Program |
|---|---|---|
| 14.3% | (fma.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 n (-.f64 #s(literal 0 binary64) (*.f64 n n)))) (*.f64 n n) (neg.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n))))) | |
| 54.3% | (/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) | |
| 54.3% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| ▶ | 55.0% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| 55.0% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) | |
| 55.4% | (/.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))))) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) n)) (-.f64 #s(literal 0 binary64) n)) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) | |
| 32.9% | (/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) | |
| ▶ | 72.0% | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
| 34.9% | (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) x) #s(literal -1 binary64)) x) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) | |
| 36.1% | (/.f64 (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) | |
| 45.2% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) | |
| 30.8% | (/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) | |
| 36.7% | (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) | |
| ▶ | 57.6% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 23.6% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 31.2% | (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) | |
| 32.2% | (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) | |
| 8.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) | |
| 8.1% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) | |
| ▶ | 55.8% | (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) |
| 30.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))) | |
| 33.2% | (/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) | |
| 9.4% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 54.3% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 55.8% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) | |
| 35.7% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 43.4% | (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) | |
| 38.9% | (-.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 n n)))) | |
| 28.2% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 21.5% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.4% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 6.5% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 4.7% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) | |
| ✓ | 34.6% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 30.3% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 26.1% | (*.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) | |
| 55.7% | (*.f64 (/.f64 #s(literal -1 binary64) n) (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) | |
| 6.6% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
Compiled 2671 to 1444 computations (45.9% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 64 | (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) |
| ✓ | cost-diff | 64 | (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) |
| ✓ | cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
| ✓ | cost-diff | 0 | (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
| 2490× | *-lowering-*.f32 |
| 2490× | *-lowering-*.f64 |
| 1970× | sum5-define |
| 1424× | sum3-define |
| 1256× | /-lowering-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 593 |
| 1 | 122 | 572 |
| 2 | 304 | 572 |
| 3 | 998 | 571 |
| 4 | 4098 | 571 |
| 0 | 8269 | 571 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(- (pow (log x) 3) (pow (log (+ 1 x)) 3)) |
(pow (log x) 3) |
(log x) |
x |
3 |
(pow (log (+ 1 x)) 3) |
(log (+ 1 x)) |
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))) |
(pow (log (+ 1 x)) 2) |
2 |
(* (log x) (log (* x (+ x 1)))) |
(log (* x (+ x 1))) |
(* x (+ x 1)) |
(+ x 1) |
1 |
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) |
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) |
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) |
1/2 |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(pow (log x) 2) |
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(/ -1/6 n) |
-1/6 |
n |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(- 0 n) |
0 |
(- 1 1) |
1 |
(/ (/ (pow x (/ 1 n)) x) n) |
(/ (pow x (/ 1 n)) x) |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
1 |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(- (log (+ 1 x)) (log x)) |
(log (+ 1 x)) |
x |
(log x) |
n |
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n) |
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) |
(neg (log (/ x (+ x 1)))) |
(log (/ x (+ x 1))) |
(/ x (+ x 1)) |
x |
(+ x 1) |
1 |
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n) |
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) |
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) |
1/2 |
(* (log (* x (+ x 1))) (log (/ (+ x 1) x))) |
(log (* x (+ x 1))) |
(* x (+ x 1)) |
(log (/ (+ x 1) x)) |
(/ (+ x 1) x) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(pow (log (+ 1 x)) 3) |
(log (+ 1 x)) |
3 |
(pow (log x) 3) |
(log x) |
(/ 1/6 n) |
1/6 |
n |
| Outputs |
|---|
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(/.f64 (-.f64 (/.f64 (+.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 -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))))) n) |
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(+.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (+.f64 (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) n)) |
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(- (pow (log x) 3) (pow (log (+ 1 x)) 3)) |
(-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log x) |
(log.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(pow (log (+ 1 x)) 3) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
(log (+ 1 x)) |
(log1p.f64 x) |
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(pow (log (+ 1 x)) 2) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (log x) (log (* x (+ x 1)))) |
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(log (* x (+ x 1))) |
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(* x (+ x 1)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n) |
(/.f64 (+.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 -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) |
(- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) |
(+.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 -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) |
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) |
(*.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)))) |
1/2 |
#s(literal 1/2 binary64) |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/ -1/6 n) |
(/.f64 #s(literal -1/6 binary64) n) |
-1/6 |
#s(literal -1/6 binary64) |
n |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(- 0 n) |
(-.f64 #s(literal 0 binary64) n) |
0 |
#s(literal 0 binary64) |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(/ (/ (pow x (/ 1 n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/ (pow x (/ 1 n)) x) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
x |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
n |
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(- (log (+ 1 x)) (log x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(log x) |
(log.f64 x) |
n |
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n) |
(/.f64 (-.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) |
(-.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(neg (log (/ x (+ x 1)))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(log (/ x (+ x 1))) |
(log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
(/ x (+ x 1)) |
(/.f64 x (+.f64 x #s(literal 1 binary64))) |
x |
(+ x 1) |
(+.f64 x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n) |
(/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) n) |
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) |
(+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))))) |
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) |
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
1/2 |
#s(literal 1/2 binary64) |
(* (log (* x (+ x 1))) (log (/ (+ x 1) x))) |
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(log (* x (+ x 1))) |
(log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
(* x (+ x 1)) |
(*.f64 x (+.f64 x #s(literal 1 binary64))) |
(log (/ (+ x 1) x)) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(/ (+ x 1) x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)) |
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow (log (+ 1 x)) 3) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
(log (+ 1 x)) |
(log1p.f64 x) |
3 |
#s(literal 3 binary64) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log x) |
(log.f64 x) |
(/ 1/6 n) |
(/.f64 #s(literal 1/6 binary64) n) |
1/6 |
#s(literal 1/6 binary64) |
n |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1/6 binary64) n) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| ✓ | accuracy | 99.7% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | accuracy | 100.0% | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) n) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal -1/6 binary64) n) |
| ✓ | accuracy | 99.8% | (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.8% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.7% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| 1.1s | 186× | 5 | exit |
| 89.0ms | 65× | 1 | valid |
| 3.0ms | 5× | 0 | valid |
Compiled 612 to 53 computations (91.3% saved)
ival-log: 439.0ms (47.5% of total)backward-pass: 104.0ms (11.3% of total)ival-div: 97.0ms (10.5% of total)ival-pow: 88.0ms (9.5% of total)ival-mult: 55.0ms (6% of total)...c/correct-round.rkt:119:19: 51.0ms (5.5% of total)ival-sub: 33.0ms (3.6% of total)ival-add: 27.0ms (2.9% of total)compiled-spec: 21.0ms (2.3% of total)ival-neg: 6.0ms (0.6% of total)const: 3.0ms (0.3% of total)| Inputs |
|---|
#<alt (/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n))> |
#<alt (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n))> |
#<alt (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))> |
#<alt (- (pow (log x) 3) (pow (log (+ 1 x)) 3))> |
#<alt (- 1 1)> |
#<alt (/ (/ (pow x (/ 1 n)) x) n)> |
#<alt (/ (pow x (/ 1 n)) x)> |
#<alt (pow x (/ 1 n))> |
#<alt (/ 1 n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (- (log (+ 1 x)) (log x))> |
#<alt (log (+ 1 x))> |
#<alt (log x)> |
#<alt (/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n)> |
#<alt (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n))> |
#<alt (log (/ x (+ x 1)))> |
#<alt (/ x (+ x 1))> |
#<alt (pow (log x) 3)> |
#<alt (pow (log x) 2)> |
#<alt (* (log x) (log (* x (+ x 1))))> |
#<alt (/ -1/6 n)> |
#<alt (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))> |
#<alt (/ 1/6 n)> |
#<alt (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))> |
| Outputs |
|---|
#<alt (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n))> |
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n))> |
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))> |
#<alt (+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (+ (* 1/2 (/ 1 (* n (log x)))) (* 1/2 (/ 1 (pow n 2)))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (pow (log x) 2)))) (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow (log x) 2))))))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))> |
#<alt (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x)))> |
#<alt (/ (+ (* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) n)) (* -1 (/ (- (+ (* -1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- 1 (* -1 (/ (* (pow (log (/ 1 x)) 3) (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x))))) (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 2))))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)) (/ (* (pow (log (/ 1 x)) 3) (pow (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) 2)) (* n (pow (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) 3)))))))) x))) x)> |
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#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/6 (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))))) 1/4) x)) (+ (* 1/6 (+ (* -1 (/ (log (/ -1 x)) (pow n 2))) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (pow n 2))) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (/ (log -1) (pow n 2)) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))))) (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))))) 1/3) x)) (+ (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) (pow n 2))))) (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))))) 1/2) x)) (+ (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))) (/ (log (/ -1 x)) n))) 1) x))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2)))> |
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2))> |
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 2))> |
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 2))> |
#<alt (* -1 (log (/ x (+ 1 x))))> |
#<alt (- (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)) (log (/ x (+ 1 x))))> |
#<alt (- (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log (/ x (+ 1 x))))> |
#<alt (- (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log (/ x (+ 1 x))))> |
#<alt (* -1 (log (/ x (+ 1 x))))> |
#<alt (- (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)) (log (/ x (+ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)) (log (/ x (+ 1 x))))> |
#<alt (- (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)) (log (/ x (+ 1 x))))> |
#<alt (log x)> |
#<alt (+ (log x) (* -1 x))> |
#<alt (+ (log x) (* x (- (* 1/2 x) 1)))> |
#<alt (+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1)))> |
#<alt (/ -1 x)> |
#<alt (/ (- (* 1/2 (/ 1 x)) 1) x)> |
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x)> |
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x)> |
#<alt (/ -1 x)> |
#<alt (* -1 (/ (- 1 (* 1/2 (/ 1 x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x))> |
#<alt (* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x))> |
#<alt x> |
#<alt (* x (+ 1 (* -1 x)))> |
#<alt (* x (+ 1 (* x (- x 1))))> |
#<alt (* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (/ 1 x))> |
#<alt (- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3))))> |
#<alt 1> |
#<alt (- 1 (/ 1 x))> |
#<alt (+ 1 (* -1 (/ (- 1 (/ 1 x)) x)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x)))> |
#<alt (pow (log x) 3)> |
#<alt (pow (log x) 3)> |
#<alt (pow (log x) 3)> |
#<alt (pow (log x) 3)> |
#<alt (* -1 (pow (log (/ 1 x)) 3))> |
#<alt (* -1 (pow (log (/ 1 x)) 3))> |
#<alt (* -1 (pow (log (/ 1 x)) 3))> |
#<alt (* -1 (pow (log (/ 1 x)) 3))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log x) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (pow (log x) 2)> |
#<alt (+ (* x (log x)) (pow (log x) 2))> |
#<alt (+ (* x (+ (log x) (* -1/2 (* x (log x))))) (pow (log x) 2))> |
#<alt (+ (* x (+ (log x) (* x (+ (* -1/2 (log x)) (* 1/3 (* x (log x))))))) (pow (log x) 2))> |
#<alt (* 2 (pow (log (/ 1 x)) 2))> |
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (* 2 (pow (log (/ 1 x)) 2)))> |
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2))))> |
#<alt (+ (* -1 (/ (log (/ 1 x)) x)) (+ (* -1/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2)))))> |
#<alt (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x))))))> |
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x)))> |
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x)))> |
#<alt (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) x)))> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (/ -1/6 n)> |
#<alt (* -1 (pow (log x) 2))> |
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (* -1 (log x)))))> |
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x)))))))))> |
#<alt (+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1))))))))))> |
#<alt (* -2 (/ (log (/ 1 x)) x))> |
#<alt (/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x)> |
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x)> |
#<alt (/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x)> |
#<alt (* -2 (/ (log (/ -1 x)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 x)))) x)))) x)) (* 2 (log (/ -1 x)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) x)) (* 2/3 (log (/ -1 x))))) x)))) x)) (* 2 (log (/ -1 x)))) x))> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (/ 1/6 n)> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow x 3) n)))> |
#<alt (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -1/4 (/ x n)) (* 1/6 (/ 1 n)))))> |
#<alt (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/24 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n)))))> |
#<alt (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x)))> |
#<alt (/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x)> |
#<alt (/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x)> |
#<alt (/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)) (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (pow x 3)))))) x)> |
#<alt (* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x)))> |
#<alt (* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))> |
96 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | -inf | (/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
| 13.0ms | x | @ | inf | (/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
| 11.0ms | x | @ | -inf | (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
| 8.0ms | n | @ | inf | (/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n) |
| 6.0ms | x | @ | inf | (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
| 1× | batch-egg-rewrite |
| 3394× | *-lowering-*.f32 |
| 3394× | *-lowering-*.f64 |
| 1810× | /-lowering-/.f32 |
| 1810× | /-lowering-/.f64 |
| 1448× | pow-lowering-pow.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 53 | 333 |
| 1 | 383 | 237 |
| 2 | 4309 | 237 |
| 0 | 8520 | 237 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) (- 0 n)) |
(- (/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) (/ (- (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* (/ -1/6 n) (- (pow (log (+ 1 x)) 3) (pow (log x) 3)))) n)) |
(/ (- (pow (log x) 3) (pow (log (+ 1 x)) 3)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(- (pow (log x) 3) (pow (log (+ 1 x)) 3)) |
(- 1 1) |
(/ (/ (pow x (/ 1 n)) x) n) |
(/ (pow x (/ 1 n)) x) |
(pow x (/ 1 n)) |
(/ 1 n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(- (log (+ 1 x)) (log x)) |
(log (+ 1 x)) |
(log x) |
(/ (+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) n) |
(+ (neg (log (/ x (+ x 1)))) (/ (+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) n)) |
(log (/ x (+ x 1))) |
(/ x (+ x 1)) |
(pow (log x) 3) |
(pow (log x) 2) |
(* (log x) (log (* x (+ x 1)))) |
(/ -1/6 n) |
(* (log (* x (+ x 1))) (log (/ (+ x 1) x))) |
(/ 1/6 n) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n)) |
| Outputs |
|---|
(+.f64 (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (neg.f64 (/.f64 (+.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 1/2 binary64))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal 1/6 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) n)))) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (*.f64 x x) #s(literal -1 binary64))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 n #s(literal 1/6 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1/6 binary64) n)) (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) |
(pow.f64 (/.f64 n (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64))) #s(literal -1 binary64)) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal -1/6 binary64) n)) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 #s(literal 1/6 binary64) n))) |
(*.f64 (/.f64 #s(literal -1/6 binary64) n) (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)) |
(*.f64 #s(literal 1/6 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(*.f64 (/.f64 #s(literal 1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 n #s(literal -1/6 binary64)))) |
(*.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
| 1× | egg-herbie |
| 4422× | +-lowering-+.f64 |
| 4422× | +-lowering-+.f32 |
| 3918× | *-lowering-*.f32 |
| 3918× | *-lowering-*.f64 |
| 2558× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1895 | 27166 |
| 1 | 6988 | 27060 |
| 0 | 8360 | 27060 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (+ (* 1/2 (/ 1 (* n (log x)))) (* 1/2 (/ 1 (pow n 2)))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (pow (log x) 2)))) (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow (log x) 2))))))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x))) |
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(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))))) (pow n 2)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 2)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (log (/ x (+ 1 x))))) (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))))) (pow n 2)) |
(* -1 (log (/ x (+ 1 x)))) |
(- (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)) (log (/ x (+ 1 x)))) |
(- (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log (/ x (+ 1 x)))) |
(- (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log (/ x (+ 1 x)))) |
(* -1 (log (/ x (+ 1 x)))) |
(- (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)) (log (/ x (+ 1 x)))) |
(- (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)) (log (/ x (+ 1 x)))) |
(- (* -1 (/ (+ (* -1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* -1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n))) n)) (log (/ x (+ 1 x)))) |
(log x) |
(+ (log x) (* -1 x)) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(+ (log x) (* x (- (* x (+ 1/2 (* -1/3 x))) 1))) |
(/ -1 x) |
(/ (- (* 1/2 (/ 1 x)) 1) x) |
(/ (- (* 1/2 (/ 1 x)) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (/ 1/3 (pow x 2)))) x) |
(/ -1 x) |
(* -1 (/ (- 1 (* 1/2 (/ 1 x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (+ 1/2 (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) x))) x))) x)) |
x |
(* x (+ 1 (* -1 x))) |
(* x (+ 1 (* x (- x 1)))) |
(* x (+ 1 (* x (- (* x (+ 1 (* -1 x))) 1)))) |
1 |
(- 1 (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (/ 1 x)) |
(- (+ 1 (/ 1 (pow x 2))) (+ (/ 1 x) (/ 1 (pow x 3)))) |
1 |
(- 1 (/ 1 x)) |
(+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 x)) x))) x))) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (log x) 2) |
(+ (* x (log x)) (pow (log x) 2)) |
(+ (* x (+ (log x) (* -1/2 (* x (log x))))) (pow (log x) 2)) |
(+ (* x (+ (log x) (* x (+ (* -1/2 (log x)) (* 1/3 (* x (log x))))))) (pow (log x) 2)) |
(* 2 (pow (log (/ 1 x)) 2)) |
(+ (* -1 (/ (log (/ 1 x)) x)) (* 2 (pow (log (/ 1 x)) 2))) |
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2)))) |
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* -1/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2))))) |
(* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) x))) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(/ -1/6 n) |
(* -1 (pow (log x) 2)) |
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (* -1 (log x))))) |
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (* 1/2 (log x))))))))) |
(+ (* -1 (pow (log x) 2)) (* x (+ (log x) (+ (* -1 (log x)) (* x (+ 1 (+ (* -1/2 (log x)) (+ (* 1/2 (log x)) (* x (- (+ (* -1/3 (log x)) (* 1/3 (log x))) 1)))))))))) |
(* -2 (/ (log (/ 1 x)) x)) |
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x) |
(* -2 (/ (log (/ -1 x)) x)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (log (/ -1 x))) x)) (* 2 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (* 2/3 (log (/ -1 x)))) x)))) x)) (* 2 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -1 (/ (+ 1 (+ (log (/ -1 x)) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* 1/2 (log (/ -1 x)))) x)) (* 2/3 (log (/ -1 x))))) x)))) x)) (* 2 (log (/ -1 x)))) x)) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(/ 1/6 n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(+ (* -1/6 (/ (pow (log x) 3) n)) (* 1/6 (/ (pow x 3) n))) |
(+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* -1/4 (/ x n)) (* 1/6 (/ 1 n))))) |
(+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 3) (+ (* x (- (* 7/24 (/ x n)) (* 1/4 (/ 1 n)))) (* 1/6 (/ 1 n))))) |
(* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (* n x))) |
(/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n))) x) |
(/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)))) x) |
(/ (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) n)) (* -1/2 (/ (pow (log (/ 1 x)) 2) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) n)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) n)) (+ (* 2 (/ (log (/ 1 x)) n)) (/ 1 n)))) (pow x 2))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) n)) (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) n)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) n)) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) n)) (* -1/4 (/ (pow (log (/ 1 x)) 2) n))))) (/ 1 n)) (pow x 3)))))) x) |
(* -1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n x))) |
(* -1 (/ (+ (* -1/6 (/ (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/2 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/4 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (+ (* -1 (/ (log (/ -1 x)) n)) (+ (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) n)) (+ (* -1/3 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (/ (log -1) n) (/ (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))))) x)) (* 1/6 (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))) n))))) x)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) n))) x)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
| Outputs |
|---|
(* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) |
(neg.f64 (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (/ x n)) |
(+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) (/.f64 x n)) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))) |
(+ (* -1 (/ (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n))) n)) (* x (+ (* x (+ (* -1 (* x (- (+ (* 1/2 (/ 1 (* n (log x)))) (* 1/2 (/ 1 (pow n 2)))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (pow (log x) 2)))) (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (/ 1 (* n (pow (log x) 2))))))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(+.f64 (neg.f64 (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n))) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n))) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (*.f64 #s(literal -1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (neg.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))))) (-.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))))) |
(* -1 (/ (- (* -1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (* n x))) |
(neg.f64 (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (*.f64 #s(literal -1 binary64) (log.f64 x)) #s(literal 2 binary64)))) (*.f64 n n)) (+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (log.f64 x) n))))) (*.f64 x n))) |
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(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) n)) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) |
Compiled 95831 to 6404 computations (93.3% saved)
43 alts after pruning (41 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1505 | 24 | 1529 |
| Fresh | 17 | 17 | 34 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1526 | 43 | 1569 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) | |
| 54.3% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| 13.8% | (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) | |
| 13.8% | (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) | |
| ▶ | 55.0% | (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
| ✓ | 55.0% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| 25.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) | |
| 41.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) | |
| 36.2% | (/.f64 (/.f64 #s(literal 1 binary64) x) n) | |
| 48.4% | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) | |
| 46.9% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) | |
| 25.2% | (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) | |
| 45.2% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) | |
| 36.7% | (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) | |
| 31.2% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 23.6% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 29.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (*.f64 n (*.f64 n n))) | |
| 8.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) | |
| 8.1% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) | |
| ▶ | 57.8% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
| 40.9% | (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) | |
| 9.4% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 25.1% | (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) | |
| 57.8% | (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) | |
| 54.3% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ▶ | 53.9% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
| 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) | |
| 35.7% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 28.2% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.7% | (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))) n)))) (/.f64 (log.f64 x) n)) | |
| 21.5% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.4% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 4.7% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) | |
| ✓ | 34.6% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.2% | (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) | |
| 57.7% | (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) | |
| 6.6% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) | |
| ▶ | 25.1% | (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
| 31.2% | (neg.f64 (/.f64 (log.f64 x) n)) | |
| ▶ | 30.3% | #s(literal 0 binary64) |
Compiled 1746 to 1093 computations (37.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 12800 | (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) |
| ✓ | cost-diff | 12800 | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) |
| ✓ | cost-diff | 0 | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) |
| ✓ | cost-diff | 128 | (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | cost-diff | 128 | (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x) |
| ✓ | cost-diff | 192 | (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
| ✓ | cost-diff | 0 | (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| ✓ | cost-diff | 128 | (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | cost-diff | 128 | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
| 1850× | fnmadd-define |
| 1680× | fmsub-define |
| 1578× | fmm-def |
| 1564× | /-lowering-/.f32 |
| 1564× | /-lowering-/.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 370 |
| 1 | 115 | 360 |
| 2 | 262 | 346 |
| 3 | 904 | 346 |
| 4 | 3546 | 346 |
| 0 | 8711 | 346 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(pow (log (+ 1 x)) 3) |
(log (+ 1 x)) |
x |
3 |
(pow (log x) 3) |
(log x) |
(/ 1 n) |
1 |
n |
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))) |
(pow (log (+ 1 x)) 2) |
2 |
(* (log x) (log (* x (+ x 1)))) |
(log (* x (+ x 1))) |
(* x (+ x 1)) |
(+ x 1) |
0 |
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)) |
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x) |
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) |
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) |
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x) |
(- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) |
(neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) |
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x) |
(- (/ 1/4 (* x n)) (/ 1/3 n)) |
(/ 1/4 (* x n)) |
1/4 |
(* x n) |
x |
n |
(/ 1/3 n) |
1/3 |
(/ 1/2 n) |
1/2 |
(/ 1 n) |
1 |
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n) |
(/ (pow (/ 1 x) (/ -1 n)) x) |
(pow (/ 1 x) (/ -1 n)) |
(/ 1 x) |
1 |
x |
(/ -1 n) |
-1 |
n |
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n) |
(exp (* (log (/ x (pow x (/ 1 n)))) -1)) |
(* (log (/ x (pow x (/ 1 n)))) -1) |
(log (/ x (pow x (/ 1 n)))) |
(/ x (pow x (/ 1 n))) |
x |
(pow x (/ 1 n)) |
(/ 1 n) |
1 |
n |
-1 |
| Outputs |
|---|
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
(pow (log (+ 1 x)) 3) |
(pow.f64 (log1p.f64 x) #s(literal 3 binary64)) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
3 |
#s(literal 3 binary64) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(log x) |
(log.f64 x) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
n |
(+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(pow (log (+ 1 x)) 2) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(* (log x) (log (* x (+ x 1)))) |
(*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(log (* x (+ x 1))) |
(log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))) |
(* x (+ x 1)) |
(*.f64 x (+.f64 #s(literal 1 binary64) x)) |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
0 |
#s(literal 0 binary64) |
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n)) x)) x) |
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) x) |
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) |
(+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x) (/.f64 #s(literal -1 binary64) n)) |
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) (/.f64 #s(literal 1/2 binary64) n)) x) |
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n)) x) |
(- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) |
(+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) (/.f64 #s(literal -1/2 binary64) n)) |
(neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/4 binary64) (*.f64 x n))) x) |
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) x) |
(- (/ 1/4 (* x n)) (/ 1/3 n)) |
(+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) n)) |
(/ 1/4 (* x n)) |
(/.f64 #s(literal 1/4 binary64) (*.f64 x n)) |
1/4 |
#s(literal 1/4 binary64) |
(* x n) |
(*.f64 x n) |
x |
n |
(/ 1/3 n) |
(/.f64 #s(literal 1/3 binary64) n) |
1/3 |
#s(literal 1/3 binary64) |
(/ 1/2 n) |
(/.f64 #s(literal 1/2 binary64) n) |
1/2 |
#s(literal 1/2 binary64) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) (*.f64 x n)) |
(/ (pow (/ 1 x) (/ -1 n)) x) |
(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) |
(pow (/ 1 x) (/ -1 n)) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
-1 |
#s(literal -1 binary64) |
n |
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(exp (* (log (/ x (pow x (/ 1 n)))) -1)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) |
(* (log (/ x (pow x (/ 1 n)))) -1) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(log (/ x (pow x (/ 1 n)))) |
(log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/ x (pow x (/ 1 n))) |
(/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
x |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
n |
-1 |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
| ✓ | accuracy | 100.0% | (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 100.0% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
| ✓ | accuracy | 99.0% | (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) n) |
| ✓ | accuracy | 100.0% | (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) |
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1/3 binary64) n) |
| ✓ | accuracy | 99.9% | (/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
| ✓ | accuracy | 99.9% | (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 99.8% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| 373.0ms | 135× | 5 | exit |
| 45.0ms | 87× | 0 | unsamplable |
| 37.0ms | 33× | 1 | valid |
| 0.0ms | 1× | 0 | valid |
Compiled 395 to 49 computations (87.6% saved)
ival-pow: 82.0ms (24.9% of total)ival-log: 73.0ms (22.2% of total)backward-pass: 57.0ms (17.3% of total)ival-div: 44.0ms (13.4% of total)ival-mult: 18.0ms (5.5% of total)compiled-spec: 17.0ms (5.2% of total)ival-add: 12.0ms (3.6% of total)ival-sub: 9.0ms (2.7% of total)...c/correct-round.rkt:119:19: 7.0ms (2.1% of total)ival-neg: 6.0ms (1.8% of total)ival-exp: 4.0ms (1.2% of total)const: 2.0ms (0.6% of total)| Inputs |
|---|
#<alt (/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1))))))> |
#<alt (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n))> |
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))> |
#<alt (pow (log (+ 1 x)) 3)> |
#<alt (neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x))> |
#<alt (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)> |
#<alt (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n))> |
#<alt (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x))> |
#<alt (/ (/ (pow (/ 1 x) (/ -1 n)) x) n)> |
#<alt (/ (pow (/ 1 x) (/ -1 n)) x)> |
#<alt (pow (/ 1 x) (/ -1 n))> |
#<alt (/ 1 x)> |
#<alt (/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n)> |
#<alt (exp (* (log (/ x (pow x (/ 1 n)))) -1))> |
#<alt (* (log (/ x (pow x (/ 1 n)))) -1)> |
#<alt (log (/ x (pow x (/ 1 n))))> |
#<alt (pow (log x) 3)> |
#<alt (* (log x) (log (* x (+ x 1))))> |
#<alt (/ 1/3 n)> |
#<alt (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)> |
#<alt (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)> |
#<alt (/ -1 n)> |
#<alt (/ x (pow x (/ 1 n)))> |
| Outputs |
|---|
#<alt (* -1 (/ (log x) n))> |
#<alt (+ (* -1 (/ (log x) n)) (/ x n))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n))))> |
#<alt (/ 1 (* n x))> |
#<alt (/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x)> |
#<alt (/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))) x)> |
#<alt (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -2/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/3 (/ (log (/ 1 x)) (* n (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (* (+ 1 (+ (log (/ 1 x)) (* 1/2 (log (/ 1 x))))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (+ (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* 2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (+ (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 3) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))))))) x)> |
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (* n (* x (+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))))))> |
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#<alt (/ 1 x)> |
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#<alt (exp (/ (log x) n))> |
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#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (exp (* -1 (/ (log (/ 1 x)) n)))> |
#<alt 1> |
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#<alt (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* -1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3))) (* 1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))))> |
#<alt 1> |
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#<alt (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))))> |
#<alt (/ 1 x)> |
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#<alt (pow (log x) 3)> |
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#<alt (/ 1/3 n)> |
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#<alt (/ -1/2 (* n x))> |
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#<alt (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)> |
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#<alt (/ -1/3 (* n x))> |
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#<alt (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x))> |
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#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))> |
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))> |
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))> |
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))> |
#<alt (/ (- (* 1/4 (/ 1 x)) 1/3) (* n x))> |
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#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))> |
#<alt (* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x)))> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ -1 n)> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))> |
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))> |
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))> |
#<alt (/ x (exp (* -1 (/ (log (/ 1 x)) n))))> |
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))> |
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))> |
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))> |
#<alt (/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt (/ x (exp (/ (log x) n)))> |
#<alt x> |
#<alt (+ x (* -1 (/ (* x (log x)) n)))> |
#<alt (- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n))> |
#<alt (- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (* x (log x)) n)))> |
#<alt (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n)))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 62.0ms | n | @ | 0 | (/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
| 22.0ms | n | @ | 0 | (* (log (/ x (pow x (/ 1 n)))) -1) |
| 15.0ms | x | @ | -inf | (* (log (/ x (pow x (/ 1 n)))) -1) |
| 14.0ms | x | @ | 0 | (* (log (/ x (pow x (/ 1 n)))) -1) |
| 14.0ms | x | @ | inf | (* (log (/ x (pow x (/ 1 n)))) -1) |
| 1× | batch-egg-rewrite |
| 2994× | *-lowering-*.f32 |
| 2994× | *-lowering-*.f64 |
| 2476× | fma-lowering-fma.f32 |
| 2476× | fma-lowering-fma.f64 |
| 1642× | /-lowering-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 252 |
| 1 | 312 | 202 |
| 2 | 3112 | 201 |
| 0 | 8284 | 201 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) (+ (pow (log (+ 1 x)) 2) (* (log x) (log (* x (+ x 1)))))) |
(* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1 n)) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(pow (log (+ 1 x)) 3) |
(neg (/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x)) |
(/ (- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) x) |
(- (neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) (/ 1 n)) |
(neg (/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x)) |
(/ (/ (pow (/ 1 x) (/ -1 n)) x) n) |
(/ (pow (/ 1 x) (/ -1 n)) x) |
(pow (/ 1 x) (/ -1 n)) |
(/ 1 x) |
(/ (exp (* (log (/ x (pow x (/ 1 n)))) -1)) n) |
(exp (* (log (/ x (pow x (/ 1 n)))) -1)) |
(* (log (/ x (pow x (/ 1 n)))) -1) |
(log (/ x (pow x (/ 1 n)))) |
(pow (log x) 3) |
(* (log x) (log (* x (+ x 1)))) |
(/ 1/3 n) |
(/ (- (neg (/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x)) (/ 1/2 n)) x) |
(/ (- (/ 1/4 (* x n)) (/ 1/3 n)) x) |
(/ -1 n) |
(/ x (pow x (/ 1 n))) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) 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))) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) n)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) n)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) n)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) n) |
(/.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) #s(literal 1 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (-.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(+.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) n)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) |
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) n) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) #s(literal -1 binary64)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (*.f64 n (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 (*.f64 #s(literal -1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64))))) |
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(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))))) |
(exp.f64 (*.f64 (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 x (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1 binary64))) |
(/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (exp.f64 (log.f64 x)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)) (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(*.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal -1 binary64) n)) x) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) (pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
| 1× | egg-herbie |
| 4244× | *-lowering-*.f32 |
| 4244× | *-lowering-*.f64 |
| 3368× | +-lowering-+.f64 |
| 3368× | +-lowering-+.f32 |
| 2196× | /-lowering-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1041 | 11597 |
| 1 | 3746 | 10743 |
| 0 | 8863 | 10743 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n)))) |
(/ 1 (* n x)) |
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x) |
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(+ (log x) (+ (* -1 (/ (log x) n)) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2))))) |
(+ (log x) (+ (* -1 (/ (log x) n)) (+ (* 1/6 (/ (+ (* -6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)) (+ (* -6 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) x)) (* -2 (pow (log x) 3)))) (pow n 3))) (* 1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) (pow n 2)))))) |
(log x) |
(+ (log x) (* -1 (/ (log x) n))) |
(+ (log x) (* -1 (/ (+ (log x) (* -1/2 (/ (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))) n))) n))) |
(+ (log x) (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (/ (+ (* -1/6 (* x (pow (log x) 3))) (+ (* 1/2 (* x (pow (log x) 3))) (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))))) x)) (+ (* 2 (pow (log x) 3)) (* 6 (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) x)))) n)) (* 1/2 (+ (* -2 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) x)) (* -1 (pow (log x) 2))))) n))) n))) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(pow (log x) 3) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow (log x) 2) |
(+ (* x (log x)) (pow (log x) 2)) |
(+ (* x (+ (log x) (* -1/2 (* x (log x))))) (pow (log x) 2)) |
(+ (* x (+ (log x) (* x (+ (* -1/2 (log x)) (* 1/3 (* x (log x))))))) (pow (log x) 2)) |
(* 2 (pow (log (/ 1 x)) 2)) |
(+ (* -1 (/ (log (/ 1 x)) x)) (* 2 (pow (log (/ 1 x)) 2))) |
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2)))) |
(+ (* -1 (/ (log (/ 1 x)) x)) (+ (* -1/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 2))) (* 2 (pow (log (/ 1 x)) 2))))) |
(* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (* -1 (/ (log (/ -1 x)) x)) (/ (log -1) x))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) |
(+ (* -2 (* (log (/ -1 x)) (+ (log -1) (* -1 (log (/ -1 x)))))) (* -1 (/ (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) (* 1/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x))) x))) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ 1/3 n) |
(/ -1/4 (* n (pow x 3))) |
(/ (- (* 1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ (- (* x (+ (* -1/2 (/ x n)) (* 1/3 (/ 1 n)))) (* 1/4 (/ 1 n))) (pow x 3)) |
(/ -1/2 (* n x)) |
(/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x) |
(/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x) |
(/ (- (/ 1/3 (* n x)) (+ (* 1/2 (/ 1 n)) (/ 1/4 (* n (pow x 2))))) x) |
(/ -1/2 (* n x)) |
(* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/3 (/ 1 (* n x)))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) (* 1/2 (/ 1 n))) x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(/ (- (* 1/3 (/ 1 x)) (+ 1/2 (* 1/4 (/ 1 (pow x 2))))) (* n x)) |
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x))) |
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x))) |
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x))) |
(* -1 (/ (- (+ 1/2 (* 1/4 (/ 1 (pow x 2)))) (* 1/3 (/ 1 x))) (* n x))) |
(/ 1/4 (* n (pow x 2))) |
(/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2)) |
(/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2)) |
(/ (+ (* -1/3 (/ x n)) (* 1/4 (/ 1 n))) (pow x 2)) |
(/ -1/3 (* n x)) |
(/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x) |
(/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x) |
(/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x) |
(/ -1/3 (* n x)) |
(* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) |
(* -1 (/ (- (* 1/3 (/ 1 n)) (* 1/4 (/ 1 (* n x)))) x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ -1 n) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
(/ x (exp (/ (log x) n))) |
x |
(+ x (* -1 (/ (* x (log x)) n))) |
(- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n)) |
(- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n)))) |
x |
(+ x (* -1 (/ (* x (log x)) n))) |
(+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n))) |
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n))) |
| Outputs |
|---|
(* -1 (/ (log x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1 (* x (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n)))) |
(-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n)))))) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* x (- (* 1/2 (/ 1 (* n (log x)))) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))) (log x))) (* -1 (/ (- (* 1/3 (log x)) 1) (* n (log x))))))) (+ (* -1 (/ (+ 1 (* -1/2 (log x))) (* n (log x)))) (/ 1 (* n (log x)))))) (/ 1 n)))) |
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 x) n)) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n))) (-.f64 #s(literal 0 binary64) (log.f64 x))) (/.f64 (+.f64 (*.f64 (log.f64 x) #s(literal 1/3 binary64)) #s(literal -1 binary64)) (*.f64 (log.f64 x) n))))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) n)) (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (log.f64 x) #s(literal -1/2 binary64))) (*.f64 (log.f64 x) n))))))) (/.f64 (log.f64 x) n)) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n))) (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) x) |
(/.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (/.f64 (log.f64 x) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) x) |
(/ (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (/ 1 n)))))) (+ (* -1 (/ (log (/ 1 x)) (* n (* x (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (* 1/2 (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (+ (/ (log (/ 1 x)) (* n (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (/ (* (+ (* -2 (log (/ 1 x))) (* -1 (log (/ 1 x)))) (- (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))) (* -1 (/ (log (/ 1 x)) (* n (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))))) (* (pow x 2) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)))))))) x) |
(/.f64 (-.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (+.f64 (+.f64 (*.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -2/3 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 n (*.f64 x x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (*.f64 n (*.f64 x x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 (*.f64 n (*.f64 x x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))))) (+.f64 (/.f64 (log.f64 x) (*.f64 (*.f64 x n) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) (log.f64 x))) (*.f64 (*.f64 n (*.f64 x x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (*.f64 (*.f64 n (*.f64 x x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) #s(literal -3 binary64)) (+.f64 (*.f64 (/.f64 (log.f64 x) n) (/.f64 (-.f64 #s(literal 1 binary64) (log.f64 x)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (+.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) n) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 #s(literal -1/3 binary64) (/.f64 (/.f64 (log.f64 x) n) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) (*.f64 (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x x)))))) x) |
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(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (*.f64 x n)) |
(/ (- (* 1/4 (/ 1 x)) 1/3) (* n x)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (*.f64 x n)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x n)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x n)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x n)) |
(* -1 (/ (- 1/3 (* 1/4 (/ 1 x))) (* n x))) |
(/.f64 (+.f64 #s(literal -1/3 binary64) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/4 binary64) x))) (*.f64 x n)) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (* -1 (/ (log (/ 1 x)) n)))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(/ x (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) |
(/.f64 x (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
(/ x (exp (/ (log x) n))) |
(/.f64 x (exp.f64 (/.f64 (log.f64 x) n))) |
x |
(+ x (* -1 (/ (* x (log x)) n))) |
(-.f64 x (*.f64 x (/.f64 (log.f64 x) n))) |
(- (+ x (* -1 (/ (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))) (pow n 2)))) (/ (* x (log x)) n)) |
(+.f64 x (-.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)) (*.f64 x (/.f64 (log.f64 x) n)))) |
(- (+ x (* -1 (/ (+ (* -1 (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2)))))) (+ (* -1/2 (* x (pow (log x) 3))) (* 1/6 (* x (pow (log x) 3))))) (pow n 3)))) (+ (* -1 (/ (* x (pow (log x) 2)) (pow n 2))) (+ (* 1/2 (/ (* x (pow (log x) 2)) (pow n 2))) (/ (* x (log x)) n)))) |
(-.f64 (-.f64 x (/.f64 (+.f64 (*.f64 (log.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1/3 binary64))) (*.f64 n (*.f64 n n)))) (-.f64 (+.f64 (*.f64 x (/.f64 (log.f64 x) n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n))) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)))) |
x |
(+ x (* -1 (/ (* x (log x)) n))) |
(-.f64 x (*.f64 x (/.f64 (log.f64 x) n))) |
(+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow (log x) 2)) n)) (* 1/2 (/ (* x (pow (log x) 2)) n))) (* -1 (* x (log x)))) n))) |
(-.f64 x (/.f64 (+.f64 (*.f64 (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) #s(literal -1/2 binary64)) (*.f64 x (log.f64 x))) n)) |
(+ x (* -1 (/ (- (* -1 (/ (- (+ (* -1/6 (/ (* x (pow (log x) 3)) n)) (+ (* 1/2 (/ (* x (pow (log x) 3)) n)) (/ (* (log x) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n))) (+ (* -1 (* x (pow (log x) 2))) (* 1/2 (* x (pow (log x) 2))))) n)) (* -1 (* x (log x)))) n))) |
(-.f64 x (/.f64 (+.f64 (/.f64 (+.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n) (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 3 binary64))) n))) (/.f64 (*.f64 (log.f64 x) (*.f64 (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64))) n)) (*.f64 #s(literal 1/2 binary64) (*.f64 x (pow.f64 (log.f64 x) #s(literal 2 binary64))))) (neg.f64 n)) (*.f64 x (log.f64 x))) n)) |
Compiled 33827 to 3860 computations (88.6% saved)
47 alts after pruning (43 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1153 | 9 | 1162 |
| Fresh | 2 | 34 | 36 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1158 | 47 | 1205 |
| Status | Accuracy | Program |
|---|---|---|
| 54.3% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| 13.8% | (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) | |
| 13.8% | (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) | |
| 55.0% | (/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) n) | |
| ✓ | 55.0% | (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
| ✓ | 55.0% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| 25.2% | (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) | |
| 41.6% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) | |
| 58.8% | (/.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (+.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) | |
| 54.3% | (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) | |
| 36.2% | (/.f64 (/.f64 #s(literal 1 binary64) x) n) | |
| 48.4% | (/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) | |
| 46.9% | (/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) | |
| 45.2% | (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) | |
| 36.7% | (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) | |
| 31.2% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 23.6% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 29.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (+.f64 (*.f64 (*.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))))) (*.f64 n (*.f64 n n))) | |
| 8.4% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) | |
| 8.1% | (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) | |
| 25.1% | (/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) | |
| 47.1% | (/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) | |
| 40.9% | (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) | |
| 9.4% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 25.1% | (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) | |
| 57.8% | (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) | |
| 54.3% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 53.9% | (/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n) | |
| 53.9% | (/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) n) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) | |
| 57.7% | (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) | |
| 35.7% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 28.2% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 38.7% | (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))) n)))) (/.f64 (log.f64 x) n)) | |
| 21.5% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 20.4% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 4.7% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) | |
| ✓ | 34.6% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.2% | (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) | |
| 57.7% | (*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) | |
| 25.1% | (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) | |
| 6.6% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) | |
| 24.6% | (neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) | |
| 36.2% | (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) | |
| 31.2% | (neg.f64 (/.f64 (log.f64 x) n)) | |
| ✓ | 30.3% | #s(literal 0 binary64) |
Compiled 3187 to 1041 computations (67.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
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(/.f64 (-.f64 (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 (log.f64 (/.f64 (+.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.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 -1/6 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (+.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
4 calls:
| 23.0ms | n |
| 21.0ms | (/.f64 #s(literal 1 binary64) n) |
| 21.0ms | x |
| 17.0ms | (-.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 |
|---|---|---|
| 88.7% | 3 | x |
| 88.8% | 4 | n |
| 84.8% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 89.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) 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))) |
(/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) |
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) |
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(/.f64 (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) 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)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) |
(/.f64 (+.f64 (log1p.f64 x) (-.f64 (*.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)))) (log.f64 x))) n) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n n))) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n))) n)))) (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 17.0ms | (/.f64 #s(literal 1 binary64) n) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 87.9% | 3 | x |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) 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))) |
(/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) |
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) |
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(/.f64 (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) 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)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n n)) #s(literal -1/6 binary64)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) n)) (pow.f64 x (/.f64 #s(literal 3 binary64) n))) (+.f64 (pow.f64 x (/.f64 #s(literal 2 binary64) n)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (neg.f64 (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 16.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) 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))) |
(/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) |
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (exp.f64 (log.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) n) |
(/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n) |
(/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(/.f64 (-.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(/.f64 (-.f64 (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (/.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n)) (+.f64 (log.f64 x) (*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) #s(literal 1/2 binary64)))) n) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (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))) |
1 calls:
| 15.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.7% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x x)) (*.f64 n n)) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))) (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n))) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 (*.f64 n n) (*.f64 n (*.f64 n n)))))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) x) 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))) |
(/.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (+.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1 binary64)))) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (pow.f64 x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) n))) (*.f64 x n)) |
(/.f64 (pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 x n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) n) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x))) x) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 14.0ms | x |
| 14.0ms | n |
| 13.0ms | (/.f64 #s(literal 1 binary64) n) |
| 11.0ms | (-.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 |
|---|---|---|
| 79.0% | 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))) |
| 86.1% | 6 | n |
| 78.4% | 4 | x |
| 86.1% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n) |
(/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) (*.f64 n n))) n) |
(/.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64))))) (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
1 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
1 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
1 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
1 calls:
| 7.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
3 calls:
| 7.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | n |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 7 | x |
| 71.0% | 5 | n |
| 71.0% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
#s(literal 0 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
#s(literal 0 binary64) |
3 calls:
| 6.0ms | x |
| 6.0ms | (/.f64 #s(literal 1 binary64) n) |
| 6.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.9% | 7 | x |
| 62.5% | 7 | n |
| 60.6% | 5 | (/.f64 #s(literal 1 binary64) n) |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
| Outputs |
|---|
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
#s(literal 0 binary64) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
#s(literal 0 binary64) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.6% | 6 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
(/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) |
(/.f64 (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))) |
(neg.f64 (/.f64 (/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal 1/3 binary64)) n) x) (/.f64 #s(literal 1/2 binary64) n)) n) x) (*.f64 x n)) x)) |
(*.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 (/.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)) (neg.f64 (/.f64 #s(literal 1 binary64) x))) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 (*.f64 n (*.f64 x x)) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (*.f64 n n))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) n)) x)) (/.f64 #s(literal 1/2 binary64) n)) x)) (/.f64 #s(literal 1 binary64) n)) x)) |
(/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))))))) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
#s(literal 0 binary64) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) |
2 calls:
| 5.0ms | x |
| 5.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.0% | 3 | n |
| 50.5% | 4 | x |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) x) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
| Outputs |
|---|
(neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) |
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
2 calls:
| 3.0ms | n |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 6 | x |
| 47.4% | 3 | n |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 47.4% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
1 calls:
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.9% | 3 | n |
Compiled 3 to 2 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 1.0ms | n |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.3% | 1 | x |
| 30.3% | 1 | n |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 40.0ms | 9.079864040621876 | 32251785204.078964 |
| 69.0ms | 7.114500665212469e-269 | 4.043250276020512e-264 |
| 68.0ms | 135× | 1 | valid |
| 13.0ms | 35× | 2 | valid |
| 12.0ms | 102× | 0 | valid |
| 5.0ms | 41× | 0 | unsamplable |
Compiled 974 to 634 computations (34.9% saved)
ival-pow: 72.0ms (84.8% of total)ival-div: 4.0ms (4.7% of total)ival-add: 3.0ms (3.5% of total)backward-pass: 3.0ms (3.5% of total)ival-sub: 2.0ms (2.4% of total)const: 1.0ms (1.2% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
| 0.0ms | -2.8815408110371116e-20 | -2.403814199164899e-20 |
Compiled 18 to 13 computations (27.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1630012771426675e+187 | 9.181593043289812e+190 |
| 0.0ms | 3.4484842364592216 | 5894887.748297533 |
| 0.0ms | 1.5016027948049308e-51 | 1.5066121769031797e-49 |
Compiled 18 to 13 computations (27.8% saved)
| 6× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 3.1708034650755085e+196 | 9.906485328966417e+197 |
| 50.0ms | 1.0817113751736903e+147 | 9.356204983141293e+151 |
| 43.0ms | 1.933010813169884e+47 | 2.620448064265596e+56 |
| 30.0ms | 0.00898105081602114 | 9.079864040621876 |
| 34.0ms | 5.4535298570365444e-43 | 2.8975037879908255e-40 |
| 68.0ms | 7.114500665212469e-269 | 4.043250276020512e-264 |
| 105.0ms | 268× | 1 | valid |
| 88.0ms | 215× | 2 | valid |
| 35.0ms | 301× | 0 | valid |
| 10.0ms | 87× | 0 | unsamplable |
Compiled 1600 to 1130 computations (29.4% saved)
ival-pow: 159.0ms (79.6% of total)ival-div: 12.0ms (6% of total)ival-add: 11.0ms (5.5% of total)backward-pass: 9.0ms (4.5% of total)ival-sub: 7.0ms (3.5% of total)const: 2.0ms (1% of total)| 5× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 42.0ms | 3.1708034650755085e+196 | 9.906485328966417e+197 |
| 47.0ms | 1.0817113751736903e+147 | 9.356204983141293e+151 |
| 49.0ms | 1.933010813169884e+47 | 2.620448064265596e+56 |
| 29.0ms | 0.00898105081602114 | 9.079864040621876 |
| 38.0ms | 5.4535298570365444e-43 | 2.8975037879908255e-40 |
| 86.0ms | 209× | 2 | valid |
| 57.0ms | 218× | 1 | valid |
| 26.0ms | 229× | 0 | valid |
| 11.0ms | 90× | 0 | unsamplable |
Compiled 1456 to 1026 computations (29.5% saved)
ival-pow: 110.0ms (76.3% of total)ival-div: 10.0ms (6.9% of total)ival-add: 8.0ms (5.5% of total)backward-pass: 8.0ms (5.5% of total)ival-sub: 6.0ms (4.2% of total)const: 1.0ms (0.7% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -7.726200693214054e-306 | 4.621220083207629e-307 |
| 22.0ms | -8.533797641962554e-19 | -6.303134876210369e-33 |
| 32.0ms | 288× | 0 | valid |
Compiled 416 to 318 computations (23.6% saved)
ival-pow: 19.0ms (76.7% of total)ival-div: 2.0ms (8.1% of total)ival-add: 2.0ms (8.1% of total)ival-sub: 1.0ms (4% of total)const: 0.0ms (0% of total)backward-pass: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -7.726200693214054e-306 | 4.621220083207629e-307 |
| 32.0ms | -232677.72354543503 | -0.0018687147926538235 |
| 24.0ms | 217× | 0 | valid |
| 12.0ms | 20× | 2 | valid |
| 8.0ms | 35× | 1 | valid |
Compiled 233 to 191 computations (18% saved)
ival-pow: 24.0ms (74.7% of total)ival-div: 3.0ms (9.3% of total)ival-add: 2.0ms (6.2% of total)ival-sub: 2.0ms (6.2% of total)backward-pass: 1.0ms (3.1% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | -7.726200693214054e-306 | 4.621220083207629e-307 |
| 32.0ms | -232677.72354543503 | -0.0018687147926538235 |
| 23.0ms | 209× | 0 | valid |
| 11.0ms | 24× | 2 | valid |
| 9.0ms | 39× | 1 | valid |
Compiled 224 to 182 computations (18.8% saved)
ival-pow: 26.0ms (77.1% of total)ival-div: 3.0ms (8.9% of total)ival-add: 2.0ms (5.9% of total)ival-sub: 2.0ms (5.9% of total)backward-pass: 1.0ms (3% of total)const: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | -7.726200693214054e-306 | 4.621220083207629e-307 |
| 26.0ms | -232677.72354543503 | -0.0018687147926538235 |
| 22.0ms | 207× | 0 | valid |
| 17.0ms | 62× | 1 | valid |
| 1.0ms | 3× | 2 | valid |
| 1.0ms | 11× | 0 | unsamplable |
Compiled 224 to 182 computations (18.8% saved)
ival-pow: 26.0ms (78.2% of total)ival-div: 3.0ms (9% of total)ival-add: 2.0ms (6% of total)ival-sub: 2.0ms (6% of total)backward-pass: 1.0ms (3% of total)const: 0.0ms (0% of total)| 1× | egg-herbie |
| 834× | distribute-lft-neg-in_binary64 |
| 450× | neg-mul-1_binary64 |
| 442× | neg-sub0_binary64 |
| 380× | cancel-sign-sub_binary64 |
| 358× | sub-neg_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 209 | 960 |
| 1 | 296 | 957 |
| 2 | 356 | 953 |
| 3 | 428 | 953 |
| 4 | 503 | 953 |
| 5 | 646 | 953 |
| 6 | 877 | 953 |
| 7 | 1223 | 952 |
| 8 | 1689 | 952 |
| 9 | 2035 | 952 |
| 10 | 2244 | 952 |
| 11 | 2390 | 952 |
| 12 | 2520 | 952 |
| 13 | 2624 | 952 |
| 14 | 2676 | 952 |
| 15 | 2701 | 952 |
| 16 | 2714 | 952 |
| 17 | 2717 | 952 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (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)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))) |
(if (<=.f64 x #s(literal 290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 6252581806732827/24519928653854221733733552434404946937899825954937634816 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 279999999999999998101865628821255833409278363744337920 binary64)) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) (if (<=.f64 x #s(literal 3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 52000000000000002438869890781214236892513070827561708052161714921906540958288583381830990719185944865747011070113672080713594850463819982955887117310767930231855706936298234477459794080602676789248 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64))))))) |
(if (<=.f64 x #s(literal 2108713864231463/49039857307708443467467104868809893875799651909875269632 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) #s(literal -1/2 binary64)))))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 260000000000000010827894231408746422024904669880880463872 binary64)) (/.f64 (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1 binary64) (+.f64 (neg.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) #s(literal -1/2 binary64))) x) #s(literal -1 binary64)) x)) n) (if (<=.f64 x #s(literal 52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64)))))) |
(if (<=.f64 n #s(literal -1598517415830675/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))) |
(if (<=.f64 n #s(literal -19/2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) |
(if (<=.f64 n #s(literal -19/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -6325070415853457/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) |
(if (<=.f64 n #s(literal -6980579422424269/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -3339637179570625/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n))) |
(if (<=.f64 x #s(literal 1487016908477783/18587711355972288284975781226873757001640752520742430738197148241449258214505054669314603931201954382372484047377412163130682315569311321347385382263779932822287135505593248424283580122928721710877989947279392965075846858835973501101963736754358226037650563818176798910297066860183552 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 18 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) n)) x) n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 (log.f64 x)) (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 (pow.f64 x (pow.f64 n #s(literal -1/2 binary64))) (pow.f64 n #s(literal -1/2 binary64))) x) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (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)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -2076918743413931/83076749736557242056487941267521536 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))))) |
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(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1684996666696915/842498333348457493583344221469363458551160763204392890034487820288 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 5 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 19999999999999998143139312243602424161385629937841578929254893739235844599248002906403750563622760500499387759611624706453814183361411163718473397707281210268495424548684263756990844502016 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n)))) |
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(if (<=.f64 x #s(literal 290432989937067/290432989937067004452746581669902453150636758136600480284330441272644659601641479208040686425030537224570063240272065048916911180770489396052896597871561450348236492274894506629430939420761276732468592926240515079310107169312085954718183386786847281838290059659012482973391669690368 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 6252581806732827/24519928653854221733733552434404946937899825954937634816 binary64)) (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 279999999999999998101865628821255833409278363744337920 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n) (if (<=.f64 x #s(literal 3999999999999999911985529622630640697459295557871204323089012979877055756916429969707704197693042055879073073662148309875353729226924585581455343616 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 52000000000000002438869890781214236892513070827561708052161714921906540958288583381830990719185944865747011070113672080713594850463819982955887117310767930231855706936298234477459794080602676789248 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64))))))) |
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(if (<=.f64 x #s(literal 2108713864231463/49039857307708443467467104868809893875799651909875269632 binary64)) (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (+.f64 (*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x n) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) #s(literal 1 binary64)))))) (*.f64 n (*.f64 n n))) (if (<=.f64 x #s(literal 260000000000000010827894231408746422024904669880880463872 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) x) n) (if (<=.f64 x #s(literal 52000000000000002637644622444777931456421280169599249008947373564603507242042282217963950535033116533015760702658980086722093712553726672981143565893632 binary64)) #s(literal 0 binary64) (if (<=.f64 x #s(literal 439999999999999978503048684126345810349123060292193534776529691185234515844998204064249067123582970036218519745754083295105723143024309696075972380756163975725896127688430700034198407682079793872896 binary64)) (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x)) x) n) #s(literal 0 binary64)))))) |
(if (<=.f64 n #s(literal -1598517415830675/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x))) x) n))) |
(if (<=.f64 n #s(literal -1598517415830675/91343852333181432387730302044767688728495783936 binary64)) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) x) n))) |
(if (<=.f64 n #s(literal -19/2 binary64)) (neg.f64 (/.f64 (/.f64 #s(literal -1 binary64) n) x)) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) |
(if (<=.f64 n #s(literal -19/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) x) (if (<=.f64 n #s(literal -5692563374268111/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) |
(if (<=.f64 n #s(literal -19/2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) n) (if (<=.f64 n #s(literal -6325070415853457/1581267603963364205878869896241541461324661326282360299663291859589299527874963647593440497667477535118649045814975093057732880760826511538023542187037019608761854877160674698159897716735103252665935684988068320848140683464255411707953932466009059033912578566502802887127604801681488301032705683661296923932091466727292928 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n))) |
(if (<=.f64 n #s(literal -6980579422424269/4503599627370496 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) (if (<=.f64 n #s(literal -3339637179570625/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n)))) |
#s(literal 0 binary64) |
| 4422× | +-lowering-+.f64 |
| 4422× | +-lowering-+.f32 |
| 4290× | *-lowering-*.f32 |
| 4290× | *-lowering-*.f64 |
| 4244× | *-lowering-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 58 | 355 |
| 1 | 463 | 328 |
| 2 | 5479 | 328 |
| 0 | 8071 | 328 |
| 0 | 1041 | 11597 |
| 1 | 3746 | 10743 |
| 0 | 8863 | 10743 |
| 0 | 1322 | 11436 |
| 1 | 4580 | 10803 |
| 0 | 8358 | 10803 |
| 0 | 8 | 26 |
| 1 | 59 | 24 |
| 2 | 420 | 24 |
| 3 | 4779 | 24 |
| 0 | 8255 | 24 |
| 0 | 1895 | 27166 |
| 1 | 6988 | 27060 |
| 0 | 8360 | 27060 |
| 0 | 263 | 1600 |
| 1 | 811 | 1440 |
| 2 | 2556 | 1362 |
| 0 | 8249 | 1362 |
| 0 | 53 | 333 |
| 1 | 383 | 237 |
| 2 | 4309 | 237 |
| 0 | 8520 | 237 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 2191 to 1035 computations (52.8% saved)
Compiled 1986 to 424 computations (78.7% saved)
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