
Time bar (total: 28.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 7 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 3.1% | 0% | 8 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 9 |
| 50.8% | 46.8% | 45.3% | 0.1% | 0% | 7.8% | 0% | 10 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 11 |
| 53.9% | 48.4% | 41.4% | 0.1% | 0% | 10.1% | 0% | 12 |
Compiled 15 to 10 computations (33.3% saved)
| 9.5s | 6 030× | 5 | exit |
| 1.8s | 2 858× | 2 | valid |
| 913.0ms | 2 856× | 1 | valid |
| 278.0ms | 2 542× | 0 | valid |
| 247.0ms | 1 582× | 0 | exit |
| 185.0ms | 1 070× | 1 | exit |
| 48.0ms | 64× | 4 | exit |
| 7.0ms | 5× | 2 | exit |
| 2.0ms | 4× | 3 | exit |
ival-pow: 9.4s (79.9% of total)adjust: 780.0ms (6.6% of total)ival-add: 644.0ms (5.5% of total)ival-div: 448.0ms (3.8% of total)ival-sub: 441.0ms (3.7% of total)...in/eval/compile.rkt:110:19: 24.0ms (0.2% of total)ival-true: 15.0ms (0.1% of total)ival-assert: 8.0ms (0.1% of total)| 2× | egg-herbie |
| 140× | sub-neg |
| 86× | unsub-neg |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 80× | associate--r+ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 88 |
| 1 | 48 | 82 |
| 2 | 101 | 80 |
| 3 | 174 | 80 |
| 4 | 272 | 80 |
| 5 | 399 | 80 |
| 6 | 504 | 80 |
| 7 | 564 | 80 |
| 8 | 651 | 80 |
| 9 | 681 | 80 |
| 10 | 697 | 80 |
| 0 | 8 | 13 |
| 1 | 13 | 13 |
| 2 | 17 | 13 |
| 3 | 23 | 13 |
| 4 | 31 | 13 |
| 5 | 46 | 13 |
| 6 | 78 | 13 |
| 7 | 102 | 13 |
| 8 | 145 | 13 |
| 9 | 160 | 13 |
| 10 | 168 | 13 |
| 0 | 168 | 13 |
| 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 (+ (neg x) 1) (/ 1 n)) (pow (neg x) (/ 1 n))) |
(- (pow (- 1 x) (/ 1 n)) (pow (neg x) (/ 1 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) (/ 1 n)) (pow (- 1 x) (/ 1 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) (/ 1 x)) (pow n (/ 1 x))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 108 | 1 | (5.577163645189351e+284 -3.5542645952330717e+37) | 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))) |
| 31 | 31 | (8.99714585333471e-222 4.825184834749901e-49) | 0 | - | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | (+.f64 x #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| 0 | 0 | - | 0 | - | n |
| 0 | 0 | - | 0 | - | (/.f64 #s(literal 1 binary64) n) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | cancellation | 109 | 0 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 62 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 0 |
| - | 54 | 85 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 0 |
| - | 54 | 0 | 85 |
| number | freq |
|---|---|
| 0 | 85 |
| 1 | 171 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 160.0ms | 210× | 2 | valid |
| 82.0ms | 212× | 1 | valid |
| 7.0ms | 90× | 0 | valid |
Compiled 102 to 36 computations (64.7% saved)
ival-pow: 134.0ms (61% of total)ival-add: 36.0ms (16.4% of total)ival-div: 31.0ms (14.1% of total)adjust: 13.0ms (5.9% of total)ival-sub: 5.0ms (2.3% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 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))) |
| 80× | accelerator-lowering-fma.f32 |
| 80× | accelerator-lowering-fma.f64 |
| 48× | *-lowering-*.f32 |
| 48× | *-lowering-*.f64 |
| 36× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 1 | 13 | 34 |
| 2 | 17 | 34 |
| 3 | 23 | 34 |
| 4 | 31 | 34 |
| 5 | 46 | 34 |
| 6 | 78 | 34 |
| 7 | 102 | 34 |
| 8 | 145 | 34 |
| 9 | 160 | 34 |
| 10 | 168 | 34 |
| 0 | 168 | 34 |
| 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 #s(literal 1 binary64) n) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal 1 binary64)) |
| ✓ | accuracy | 89.9% | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 62.0% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 112.0ms | 106× | 1 | valid |
| 40.0ms | 105× | 2 | valid |
| 4.0ms | 45× | 0 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-pow: 69.0ms (48.4% of total)ival-add: 35.0ms (24.5% of total)ival-sub: 29.0ms (20.3% of total)adjust: 5.0ms (3.5% of total)ival-div: 4.0ms (2.8% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% 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)> |
| 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)> |
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | x | @ | inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 2.0ms | x | @ | -inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1.0ms | n | @ | inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1.0ms | x | @ | 0 | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1.0ms | n | @ | -inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1× | batch-egg-rewrite |
| 3 822× | accelerator-lowering-fma.f32 |
| 3 822× | accelerator-lowering-fma.f64 |
| 3 746× | *-lowering-*.f32 |
| 3 746× | *-lowering-*.f64 |
| 3 490× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 58 | 26 |
| 2 | 402 | 26 |
| 3 | 4324 | 26 |
| 0 | 8399 | 22 |
| 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) |
| 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 (-.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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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))))) (neg.f64 (/.f64 (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 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)))) (neg.f64 (/.f64 (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)))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) #s(literal -1 binary64))) |
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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 (*.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 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x)) |
(/.f64 (+.f64 (*.f64 x (*.f64 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 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 (*.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 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 x #s(literal -1 binary64)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 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 (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 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 x (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (*.f64 x (*.f64 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 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1/2 binary64)) #s(literal 2 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)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (pow.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #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 x (*.f64 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 (log.f64 (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 n #s(literal -1/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 n n)) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 n) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) n)) |
(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)) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) n)) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) n) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (*.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1/2 binary64) n)) |
(fma.f64 (pow.f64 n #s(literal -1/2 binary64)) (/.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) 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 (/.f64 #s(literal 1 binary64) 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)) |
(*.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 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) n) #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))) |
| 1× | egg-herbie |
| 11 538× | accelerator-lowering-fma.f32 |
| 11 538× | accelerator-lowering-fma.f64 |
| 4 136× | *-lowering-*.f32 |
| 4 136× | *-lowering-*.f64 |
| 3 354× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 240 | 1483 |
| 1 | 700 | 1377 |
| 2 | 1966 | 1308 |
| 3 | 6932 | 1308 |
| 0 | 8128 | 1194 |
| 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) |
| Outputs |
|---|
(- 1 (exp (/ (log x) n))) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) 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) (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 #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.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/.f64 (+.f64 (/.f64 (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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (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 1/24 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) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) (*.f64 x (*.f64 x x))) (/.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)) (* 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 #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))) 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 #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 (+.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) (*.f64 n (*.f64 n n))) (/.f64 #s(literal -1/4 binary64) n)))) x))) x)) x)) x) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(- (exp (/ (log (+ 1 x)) n)) (exp (/ (log x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) n) (+.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)))) (+.f64 (log.f64 x) (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n 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) |
(/.f64 (+.f64 (+.f64 (log1p.f64 x) (/.f64 (*.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n n))) n)) (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) n) n) (-.f64 (-.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 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n))))) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (/.f64 #s(literal 1/24 binary64) (*.f64 n 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 (-.f64 (log.f64 x) (log1p.f64 x)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 #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) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) 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 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1/24 binary64) n))) 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 #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))))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) 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)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (*.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+ (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 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 #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))) 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 #s(literal 1 binary64) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) 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 (log1p.f64 x) n) (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)))))) |
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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (/.f64 #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) |
Compiled 11 148 to 1 302 computations (88.3% saved)
18 alts after pruning (17 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 393 | 17 | 410 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 393 | 18 | 411 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 59.4% | (fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) |
| 64.3% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) | |
| 28.6% | (/.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)))) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) | |
| ▶ | 74.7% | (/.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) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n)) |
| 62.4% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| ▶ | 42.8% | (/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
| 40.5% | (/.f64 (+.f64 (/.f64 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) | |
| 69.0% | (/.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) | |
| 59.5% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 59.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.1% | (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 16.9% | (-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 62.0% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 62.0% | (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 43.8% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 18.8% | (+.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 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)))))) |
Compiled 979 to 528 computations (46.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) |
| ✓ | cost-diff | 128 | (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64)) |
| ✓ | cost-diff | 256 | (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) |
| ✓ | cost-diff | 19584 | (fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.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)) n) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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)))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
| ✓ | cost-diff | 0 | (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))))) |
| ✓ | cost-diff | 0 | (+.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 (*.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))))))) |
| ✓ | cost-diff | 0 | (-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 128 | (*.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) 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) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) 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) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n)) |
| 9 804× | accelerator-lowering-fma.f32 |
| 9 804× | accelerator-lowering-fma.f64 |
| 2 848× | /-lowering-/.f32 |
| 2 848× | /-lowering-/.f64 |
| 2 692× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 917 |
| 1 | 162 | 903 |
| 2 | 446 | 900 |
| 3 | 1277 | 891 |
| 4 | 4106 | 889 |
| 5 | 7723 | 889 |
| 0 | 8694 | 822 |
| 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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n)) |
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) 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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n) |
(+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) |
(* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) |
1/2 |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(pow (log (+ 1 x)) 2) |
2 |
(pow (log x) 2) |
(/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) |
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
1/6 |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(pow (log (+ 1 x)) 3) |
3 |
(pow (log x) 3) |
n |
(- 0 n) |
0 |
(- 1 (pow x (/ 1 n))) |
1 |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
n |
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) |
1 |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))) |
x |
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))) |
(/ 1 n) |
n |
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) |
(+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)) |
(* 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)) |
-1/2 |
(/ -1/2 n) |
(pow x (/ 1 n)) |
(/ (+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x) |
(+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) |
(/ (pow x (/ 1 n)) n) |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
1 |
n |
(* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
(/ (pow x (/ 1 n)) x) |
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
(/ -1/2 n) |
-1/2 |
(/ (+ (/ 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)))) |
(/ 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) 4)) (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))) (pow (+ x 1) (/ 1 n))) |
(pow x (/ (/ 1 n) 4)) |
x |
(/ (/ 1 n) 4) |
(/ 1 n) |
1 |
n |
4 |
(* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n)))) |
(- 0 (pow x (/ 1/2 n))) |
0 |
(pow x (/ 1/2 n)) |
(/ 1/2 n) |
1/2 |
(pow (+ x 1) (/ 1 n)) |
(+ x 1) |
| Outputs |
|---|
(/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n)) |
(/.f64 (-.f64 (log1p.f64 x) (+.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (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) |
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) |
(+.f64 (log.f64 x) (-.f64 (/.f64 (+.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (*.f64 (-.f64 (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) (log1p.f64 x))) |
(- (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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) 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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) |
(+.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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n)) |
(* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) |
(*.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)))) |
1/6 |
#s(literal 1/6 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)) |
3 |
#s(literal 3 binary64) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
n |
(- 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 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) (pow x (/ 1 n))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64)))))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64))))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64)))))))) |
x |
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))) |
(+.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64))))))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) |
(+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 #s(literal 1/2 binary64) (*.f64 x (/.f64 #s(literal 1/6 binary64) n)))) (*.f64 x (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 (/.f64 x n) (+.f64 (/.f64 #s(literal -1/2 binary64) n) #s(literal 1/3 binary64)))))) |
(+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal 1/3 binary64) (/.f64 x 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) |
(+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)) |
(+.f64 (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64))) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (*.f64 #s(literal 1/3 binary64) (/.f64 x n)))) |
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) |
(+.f64 (*.f64 #s(literal 1/3 binary64) (/.f64 x n)) (*.f64 (/.f64 x (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 binary64) n) #s(literal -1/2 binary64)))) |
(+ (/ 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)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ -1/2 n) |
(/.f64 #s(literal -1/2 binary64) n) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ (+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
(+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) |
(+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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)))) |
(/ (pow x (/ 1 n)) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) |
(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 |
(* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
(*.f64 (/.f64 (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))) |
(/ (pow x (/ 1 n)) x) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n 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)) |
(+ (/ 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) |
(/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) 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)))) x) |
(+ (/ 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) 4)) (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))) (pow (+ x 1) (/ 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 n) 4)) |
(pow.f64 x (/.f64 #s(literal 1/4 binary64) n)) |
x |
(/ (/ 1 n) 4) |
(/.f64 #s(literal 1/4 binary64) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
n |
4 |
#s(literal 4 binary64) |
(* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n)))) |
(-.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 x (/.f64 #s(literal 1/4 binary64) n)) #s(literal 3 binary64))) |
(- 0 (pow x (/ 1/2 n))) |
(-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n))) |
0 |
#s(literal 0 binary64) |
(pow x (/ 1/2 n)) |
(pow.f64 x (/.f64 #s(literal 1/2 binary64) n)) |
(/ 1/2 n) |
(/.f64 #s(literal 1/2 binary64) n) |
1/2 |
#s(literal 1/2 binary64) |
(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)) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) |
| ✓ | accuracy | 89.9% | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 62.0% | (fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 97.8% | (+.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 | 95.7% | (/.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) |
| ✓ | accuracy | 83.5% | (+.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)) |
| ✓ | accuracy | 83.3% | (*.f64 (/.f64 (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))) |
| ✓ | accuracy | 95.7% | (*.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 | 94.7% | (*.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)))) |
| ✓ | accuracy | 84.0% | (+.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))) |
| ✓ | accuracy | 71.1% | (-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 100.0% | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) n) |
| ✓ | accuracy | 45.8% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 98.9% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 55.8% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 55.8% | (-.f64 (log.f64 x) (log1p.f64 x)) |
| ✓ | accuracy | 55.7% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| 459.0ms | 145× | 1 | valid |
| 214.0ms | 105× | 2 | valid |
| 3.0ms | 6× | 0 | valid |
Compiled 923 to 68 computations (92.6% saved)
ival-mult: 283.0ms (47.1% of total)ival-pow: 108.0ms (18% of total)ival-div: 67.0ms (11.2% of total)adjust: 41.0ms (6.8% of total)ival-add: 33.0ms (5.5% of total)ival-sub: 21.0ms (3.5% of total)ival-log: 15.0ms (2.5% of total)...in/eval/compile.rkt:111:19: 12.0ms (2% of total)ival-log1p: 10.0ms (1.7% of total)ival-pow2: 9.0ms (1.5% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n))> |
#<alt (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n))> |
#<alt (- (log x) (log (+ 1 x)))> |
#<alt (log x)> |
#<alt (- 1 (pow x (/ 1 n)))> |
#<alt (pow x (/ 1 n))> |
#<alt (/ 1 n)> |
#<alt (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))))> |
#<alt (- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) (pow x (/ 1 n)))> |
#<alt (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))))> |
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))> |
#<alt (/ (+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x)> |
#<alt (+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))> |
#<alt (/ (pow x (/ 1 n)) n)> |
#<alt (+ (* (pow x (/ (/ 1 n) 4)) (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))) (pow (+ x 1) (/ 1 n)))> |
#<alt (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))> |
#<alt (/ (/ 1 n) 4)> |
#<alt (pow x (/ (/ 1 n) 4))> |
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))> |
#<alt (- (pow (log (+ 1 x)) 2) (pow (log x) 2))> |
#<alt (pow (log x) 3)> |
#<alt (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))> |
#<alt (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))> |
#<alt (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))> |
#<alt (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))> |
#<alt (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)> |
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))> |
#<alt (pow (+ x 1) (/ 1 n))> |
| Outputs |
|---|
#<alt (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n))> |
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n))> |
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n))))> |
#<alt (+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n))))> |
#<alt (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x))> |
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x)> |
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x)> |
#<alt (/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x)> |
#<alt (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* 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)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 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)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/3 (* 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)))))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 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)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (* -1 (/ (- (+ (* -1 (- (* 1/3 (/ 1 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)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/4 (* n x))) (+ (* 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))) (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) (* n x))))) x))) x)) (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n))) x))> |
#<alt (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3)))> |
#<alt (/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3))> |
#<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))> |
#<alt (/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)> |
#<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)))) (+ (* 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))> |
#<alt (* -1 (/ (- (+ (log x) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log (+ 1 x))) n))> |
#<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 (* -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) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (+ (log x) (* -1 x)) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (+ (log x) (* x (- (* x (- 1/2 (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (+ (log x) (* x (- (* x (- (+ 1/2 (* x (- (* 1/2 (/ 1 n)) (+ 1/3 (* 1/6 (/ 1 (pow n 2))))))) (* 1/2 (/ 1 n)))) 1))) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (* -1 (/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) x))> |
#<alt (/ (- (* 1/2 (/ 1 x)) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)> |
#<alt (/ (- (+ (* -1 (/ (+ 1/3 (+ (* 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)))))) (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2))) (* 1/2 (/ 1 x))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x))))))) x)> |
#<alt (/ (- (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3)))) (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) 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 (/ (+ (* 1/2 (/ (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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- 1/2 (+ (* 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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))> |
#<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 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) x))> |
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#<alt 1> |
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#<alt 1> |
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#<alt (/ x n)> |
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#<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 (/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))> |
#<alt (/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))> |
#<alt (/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))> |
#<alt (/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (pow x 2))> |
#<alt (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)> |
#<alt (/ (+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) x)> |
#<alt (/ (+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) x)> |
#<alt (/ (+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) x)> |
#<alt (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)> |
#<alt (* -1 (/ (+ (* -1 (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x))) x))> |
#<alt (* 1/6 (/ (exp (/ (log x) n)) (* (pow n 3) (pow x 2))))> |
#<alt (/ (+ (* 1/6 (/ (exp (/ (log x) n)) (pow x 2))) (/ (* n (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x))))) x)) (pow n 3))> |
#<alt (/ (+ (* 1/6 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (/ (* n (* (exp (/ (log x) n)) (- (* 1/3 (/ 1 x)) 1/2))) x) (/ (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x)))) x)))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (/ (exp (/ (log x) n)) (pow x 2))) (* n (+ (/ (* n (* (exp (/ (log x) n)) (- (* 1/3 (/ 1 x)) 1/2))) x) (/ (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x)))) x)))) (pow n 3))> |
#<alt (/ (- (* 1/3 (/ 1 x)) 1/2) (* n x))> |
#<alt (/ (- (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x)))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x)))) n)> |
#<alt (/ (- (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 2) x))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 2) x)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x))))))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x)))) n)> |
#<alt (/ (- (+ (* 1/6 (/ (log x) (* (pow n 3) (pow x 2)))) (+ (* 1/6 (/ (* (pow (log x) 3) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 3) x))) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 3) x))) (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (* (pow n 2) x))) (+ (/ 1/3 (pow x 2)) (+ (/ 1/2 (* n x)) (+ (* 1/6 (/ 1 (* (pow n 2) (pow x 2)))) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (* (pow n 2) x)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) (* n x)))))))))) (+ (/ 1/2 (* n (pow x 2))) (* 1/2 (/ 1 x)))) n)> |
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) (* n x)))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (* 1/2 (/ 1 x))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (/ 1/3 (pow x 2))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (/ 1/3 (pow x 2))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* -1 (/ (- (+ (* -1 (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) x)) (+ (* -1 (/ (+ (* -1/6 (/ (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x)))) x)) (+ (* 1/6 (/ (log x) (pow x 2))) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) x)))) n)) (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))) x)))) (* 1/6 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x)))) (* 1/2 (/ 1 (pow x 2)))) n)) (* 1/2 (/ 1 x))) (/ 1/3 (pow x 2))) n))> |
#<alt (/ 1/6 (* (pow n 3) x))> |
#<alt (/ (+ (* n (- 1/2 (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ (+ (* n (- (+ 1/2 (* n (- (* 1/3 (/ 1 x)) 1/2))) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ (+ (* n (- (+ 1/2 (* n (- (* 1/3 (/ 1 x)) 1/2))) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ (- (* 1/3 (/ 1 x)) 1/2) n)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (* 1/2 (/ 1 n))) (+ 1/2 (/ 1/2 (* n x)))) n)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (+ (/ 1/6 (* (pow n 2) x)) (* 1/2 (/ 1 n)))) (+ 1/2 (/ 1/2 (* n x)))) n)> |
#<alt (/ (- (+ (* 1/3 (/ 1 x)) (+ (/ 1/6 (* (pow n 2) x)) (* 1/2 (/ 1 n)))) (+ 1/2 (/ 1/2 (* n x)))) n)> |
#<alt (* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n))> |
#<alt (* -1 (/ (- (+ 1/2 (* -1 (/ (- 1/2 (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))> |
#<alt (* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* 1/6 (/ 1 (* n x)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))> |
#<alt (* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* 1/6 (/ 1 (* n x)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n))> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (+ (* 1/3 (/ 1 n)) (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x))))> |
#<alt (/ 1/6 (* (pow n 3) x))> |
#<alt (/ (+ (* -1/2 (/ n x)) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ (+ (* n (- (* 1/3 (/ n x)) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ (+ (* n (- (* 1/3 (/ n x)) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3))> |
#<alt (/ 1/3 (* n x))> |
#<alt (/ (- (* 1/3 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n)> |
#<alt (/ (- (+ (/ 1/6 (* (pow n 2) x)) (* 1/3 (/ 1 x))) (/ 1/2 (* n x))) n)> |
#<alt (/ (- (+ (/ 1/6 (* (pow n 2) x)) (* 1/3 (/ 1 x))) (/ 1/2 (* n x))) n)> |
#<alt (/ 1/3 (* n x))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (* 1/3 (/ 1 x))) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)) (* 1/3 (/ 1 x))) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)) (* 1/3 (/ 1 x))) n))> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) x)> |
#<alt (/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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 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)))> |
144 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | 0 | (log x) |
| 19.0ms | x | @ | -inf | (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
| 12.0ms | x | @ | -inf | (log x) |
| 9.0ms | n | @ | -inf | (+ (* (pow x (/ (/ 1 n) 4)) (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))) (pow (+ x 1) (/ 1 n))) |
| 8.0ms | x | @ | -inf | (/ (- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n)) |
| 1× | batch-egg-rewrite |
| 4 774× | *-lowering-*.f32 |
| 4 774× | *-lowering-*.f64 |
| 3 798× | accelerator-lowering-fma.f32 |
| 3 798× | accelerator-lowering-fma.f64 |
| 3 312× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 568 |
| 1 | 543 | 554 |
| 2 | 6627 | 554 |
| 0 | 8472 | 487 |
| 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 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) (- 0 n)) |
(- (- (log x) (log (+ 1 x))) (/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (/ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) n)) n)) |
(- (log x) (log (+ 1 x))) |
(log x) |
(- 1 (pow x (/ 1 n))) |
(pow x (/ 1 n)) |
(/ 1 n) |
(* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) |
(- (+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))))))) |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))))) |
(/ (+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) x) |
(+ (/ (pow x (/ 1 n)) n) (* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) |
(/ (pow x (/ 1 n)) n) |
(+ (* (pow x (/ (/ 1 n) 4)) (* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n))))) (pow (+ x 1) (/ 1 n))) |
(* (pow x (/ (/ 1 n) 4)) (- 0 (pow x (/ 1/2 n)))) |
(/ (/ 1 n) 4) |
(pow x (/ (/ 1 n) 4)) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(pow (log x) 3) |
(+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n))) |
(* x (+ (/ 1/2 (* n n)) (+ (* x (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))) (/ -1/2 n)))) |
(* (/ (pow x (/ 1 n)) x) (+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
(+ (+ (/ 1/2 (* n n)) (/ -1/2 n)) (/ (+ (/ 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)))) x) |
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) |
(pow (+ x 1) (/ 1 n)) |
| Outputs |
|---|
(+.f64 (neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #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))))) |
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(/.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))))) (*.f64 (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))) |
(/.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)))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n))))) (*.f64 (*.f64 n n) (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))))) (*.f64 (*.f64 n n) (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))))) |
(/.f64 (+.f64 (*.f64 (/.f64 #s(literal 1/6 binary64) n) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (*.f64 (*.f64 n n) (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))))) (*.f64 (*.f64 n n) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n (*.f64 n n))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n (*.f64 n n)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (*.f64 n (*.f64 n n)) #s(literal -1/6 binary64))) (*.f64 (*.f64 n (*.f64 n n)) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (*.f64 (*.f64 n n) #s(literal 1/3 binary64)) (*.f64 n #s(literal -1/2 binary64))) (*.f64 n n)) (*.f64 (*.f64 n (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 (*.f64 n (*.f64 n n)) (*.f64 n n))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (*.f64 n (*.f64 n n))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) #s(literal 1/6 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (*.f64 n (*.f64 n n)))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) #s(literal -1/6 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))))) |
(/.f64 (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/27 binary64) (*.f64 n (*.f64 n n))) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (-.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/3 binary64) n)))) (*.f64 n n))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 (*.f64 n (*.f64 n n)) #s(literal 1/6 binary64)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (*.f64 n (*.f64 n n))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal 1/6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 n (*.f64 n n)))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n)))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) #s(literal -1/6 binary64))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (-.f64 #s(literal 0 binary64) (*.f64 n (*.f64 n n))))) |
(/.f64 (+.f64 (*.f64 (-.f64 (/.f64 #s(literal 1/9 binary64) (*.f64 n n)) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (*.f64 n n)) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (/.f64 #s(literal 1/6 binary64) n))) (*.f64 (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n) (*.f64 n n))) |
(/.f64 (neg.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))))))) (neg.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 (/.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 (neg.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)))))) (neg.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 (pow.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) #s(literal 3 binary64)) (/.f64 (/.f64 #s(literal -1/8 binary64) (*.f64 n (*.f64 n n))) (*.f64 n (*.f64 n n)))) (+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (-.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))))) |
(/.f64 (-.f64 (*.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 #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 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))))) |
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (/.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 n n)) (*.f64 n n))) (-.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) |
(pow.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 (/.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 #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))))))) #s(literal -1 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 (/.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)))))) #s(literal -1 binary64)) |
(*.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)))))) (/.f64 #s(literal 1 binary64) (+.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 #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 #s(literal 1 binary64) (-.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.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (*.f64 (log1p.f64 x) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (*.f64 (log1p.f64 x) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal 1/2 binary64) n))) |
(exp.f64 (*.f64 (log.f64 (exp.f64 (log1p.f64 x))) (/.f64 #s(literal 1 binary64) n))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 1/2 binary64) n)) |
(pow.f64 (exp.f64 (log1p.f64 x)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) n))) |
| 1× | egg-herbie |
| 5 802× | accelerator-lowering-fma.f32 |
| 5 802× | accelerator-lowering-fma.f64 |
| 5 106× | +-lowering-+.f64 |
| 5 106× | +-lowering-+.f32 |
| 4 352× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1790 | 16555 |
| 1 | 5688 | 15901 |
| 0 | 8087 | 15122 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x)) |
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1 |
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(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
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(+ (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))) |
| Outputs |
|---|
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
(-.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 (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* x (+ (* -1 (* x (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))))) (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))))) (/ 1 n)))) |
(-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.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 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))))))) (/.f64 (+.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) n)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) n)) |
(/ (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 2))))) (* n x)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n n)) (/.f64 (log.f64 x) n))) (*.f64 x n)) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x) |
(/.f64 (+.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (*.f64 n n)))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n n))))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) n))) x)) (/.f64 (log.f64 x) (*.f64 n n))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x) |
(/.f64 (+.f64 (-.f64 (/.f64 (log.f64 x) (*.f64 n n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n n))))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) n))) x)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (*.f64 n n)))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64)) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x)))))))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x) |
(/.f64 (+.f64 (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (+.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (*.f64 #s(literal 2 binary64) (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)))) (/.f64 #s(literal 1 binary64) (*.f64 n n))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64)) #s(literal -1 binary64))) (*.f64 n n)))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 3 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -2/3 binary64)) n) (/.f64 #s(literal 1 binary64) n))) (*.f64 n (*.f64 x x))) (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 n (*.f64 x x))))))) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) n) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)) #s(literal -2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n n))))) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n))) n))) x)) (/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) n) (*.f64 #s(literal -1/6 binary64) (/.f64 (+.f64 (*.f64 (/.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (*.f64 n n)) #s(literal -4/3 binary64)) (-.f64 (-.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (log.f64 x))) (*.f64 n n)) (/.f64 (*.f64 #s(literal -1/4 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n))) (/.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 11/12 binary64) (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 n n))) (/.f64 #s(literal 1 binary64) (*.f64 n n)))) n))) (*.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (/.f64 #s(literal 1 binary64) x))) n) (/.f64 #s(literal 11/12 binary64) n)) n))) (*.f64 x (*.f64 x x)))) (/.f64 (log.f64 x) (*.f64 n n))) x) |
(/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) (* n x)) |
(/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 n n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (*.f64 x n)) |
(* -1 (/ (- (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (/ 1/2 (* 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)))) (* n x))) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64))) (*.f64 n n)) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) n)) (+.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (+.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 n n)) (+.f64 (/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (*.f64 n n)) (/.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 n n))))) (*.f64 x n)) (/.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n))) (*.f64 x n)))) x)) |
(* -1 (/ (+ (* -1 (/ (- 1 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 1/6 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) (pow n 2))))) n)) (* -1 (/ (- (+ (* -1 (- (* 1/2 (/ 1 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)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))))) (/ 1/3 (* 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)))))) (* n x))) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) (* n x))))) x))) x)) |
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(- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
(- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
(- (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/6 (* (pow n 3) x)) (/ 1/3 (* n x)))) (+ (* 1/2 (/ 1 n)) (/ 1/2 (* (pow n 2) x)))) |
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n))))) (/.f64 #s(literal 1/3 binary64) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
(/ 1/6 (* (pow n 3) x)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n (*.f64 n n)))) |
(/ (+ (* -1/2 (/ n x)) (* 1/6 (/ 1 x))) (pow n 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (*.f64 #s(literal -1/2 binary64) n) x)) (*.f64 n (*.f64 n n))) |
(/ (+ (* n (- (* 1/3 (/ n x)) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 n (-.f64 (/.f64 (*.f64 n #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 n (*.f64 n n))) |
(/ (+ (* n (- (* 1/3 (/ n x)) (* 1/2 (/ 1 x)))) (* 1/6 (/ 1 x))) (pow n 3)) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) x) (*.f64 n (-.f64 (/.f64 (*.f64 n #s(literal 1/3 binary64)) x) (/.f64 #s(literal 1/2 binary64) x)))) (*.f64 n (*.f64 n n))) |
(/ 1/3 (* n x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x n)) |
(/ (- (* 1/3 (/ 1 x)) (* 1/2 (/ 1 (* n x)))) n) |
(/.f64 (-.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) n) |
(/ (- (+ (/ 1/6 (* (pow n 2) x)) (* 1/3 (/ 1 x))) (/ 1/2 (* n x))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) n) |
(/ (- (+ (/ 1/6 (* (pow n 2) x)) (* 1/3 (/ 1 x))) (/ 1/2 (* n x))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 n n))) (-.f64 (/.f64 #s(literal 1/3 binary64) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) n) |
(/ 1/3 (* n x)) |
(/.f64 #s(literal 1/3 binary64) (*.f64 x n)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (* 1/3 (/ 1 x))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)) (/.f64 #s(literal 1/3 binary64) x)) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)) (* 1/3 (/ 1 x))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) n)) |
(* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 (* n x))) (* 1/2 (/ 1 x))) n)) (* 1/3 (/ 1 x))) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) x)) n)) (/.f64 #s(literal 1/3 binary64) x)) n)) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))) 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)))) x) |
(/ 1/6 (pow n 3)) |
(/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) |
(/ (+ 1/6 (* -1/2 n)) (pow n 3)) |
(/.f64 (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/2 binary64) n)) (*.f64 n (*.f64 n n))) |
(/ (+ 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))) |
(/ (+ 1/6 (* 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)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ x n)) |
(+.f64 (/.f64 x n) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(+.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 #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))))))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) 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 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x))))) |
(+ (exp (* -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 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) 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 x (*.f64 x x))))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))) |
(+.f64 (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 #s(literal 0 binary64) (/.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 #s(literal 0 binary64) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) (/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1/2 binary64) n))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (/.f64 #s(literal 1/6 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 #s(literal 1 binary64) (+.f64 (/.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 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.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 (log1p.f64 x) #s(literal 3 binary64))) (*.f64 n (*.f64 n 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 #s(literal -1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 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 (-.f64 #s(literal 0 binary64) (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)) |
Compiled 101 346 to 7 108 computations (93% saved)
42 alts after pruning (40 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 817 | 33 | 1 850 |
| Fresh | 5 | 7 | 12 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 826 | 42 | 1 868 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.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 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))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n)) | |
| ▶ | 64.3% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| 49.1% | (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) | |
| 49.7% | (/.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)) | |
| ▶ | 42.2% | (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
| 52.6% | (/.f64 (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 n (-.f64 (log.f64 x) (log1p.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 #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 n)) (-.f64 #s(literal 0 binary64) n)) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) | |
| 32.1% | (/.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)))) | |
| 35.4% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) | |
| 48.5% | (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) | |
| 9.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) | |
| 34.0% | (/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.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))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n))) | |
| 28.5% | (/.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) | |
| 62.4% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| 29.0% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) | |
| 29.0% | (/.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)))) | |
| 39.8% | (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) | |
| 34.9% | (/.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 (*.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)) #s(literal 1/2 binary64)) n)))) n) | |
| 6.6% | (/.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))) | |
| 6.2% | (/.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))) | |
| 7.9% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 50.5% | (/.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)))) | |
| 59.5% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 59.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.1% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 25.1% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 7.5% | (-.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 (*.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))))))) #s(literal 1 binary64)) | |
| 62.0% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 62.0% | (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 43.8% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 36.5% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 41.0% | (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) | |
| 28.8% | (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) | |
| 25.8% | (*.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) | |
| 42.8% | (*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) | |
| ▶ | 50.5% | (*.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))) |
| ▶ | 3.1% | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
| 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))))) | |
| 3.4% | (*.f64 (*.f64 x (*.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)))))) | |
| 3.6% | (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) | |
| 50.5% | (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)) |
Compiled 3 258 to 1 606 computations (50.7% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | cost-diff | 0 | (-.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 | 0 | (/.f64 #s(literal -1 binary64) n) |
| ✓ | cost-diff | 128 | (*.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))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
| ✓ | cost-diff | 128 | (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))))) |
| ✓ | cost-diff | 6720 | (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) |
| ✓ | cost-diff | 0 | (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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)))) |
| ✓ | cost-diff | 0 | (*.f64 x x) |
| ✓ | cost-diff | 0 | (*.f64 x (*.f64 x x)) |
| ✓ | cost-diff | 256 | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
| ✓ | cost-diff | 128 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | 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)) n) |
| ✓ | cost-diff | 0 | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| 14 784× | accelerator-lowering-fma.f32 |
| 14 784× | accelerator-lowering-fma.f64 |
| 3 650× | *-lowering-*.f32 |
| 3 650× | *-lowering-*.f64 |
| 3 248× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 847 |
| 1 | 160 | 846 |
| 2 | 396 | 828 |
| 3 | 1424 | 827 |
| 4 | 5948 | 817 |
| 0 | 8179 | 780 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (pow x (/ 1 n)) n) x) |
(/ (pow x (/ 1 n)) n) |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
1 |
n |
(- 1 1) |
1 |
(* (* x (* x x)) (- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))) |
(* x (* x x)) |
x |
(* x x) |
(- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))) |
(+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) |
(+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) |
(/ 1/6 (* n (* n n))) |
1/6 |
(* n (* n n)) |
n |
(* n n) |
(/ 1/3 n) |
1/3 |
(+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n)))) |
(/ 1 (* n (* x x))) |
1 |
(* n (* x x)) |
(/ 1/2 (* x (* n n))) |
1/2 |
(* x (* n n)) |
(+ (/ 1/2 (* n n)) (/ 1/2 (* x n))) |
(/ 1/2 (* n n)) |
(/ 1/2 (* x n)) |
(* x n) |
(/ (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) x) |
(/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) |
(+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) |
(* (pow x (/ 1 n)) x) |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
1 |
n |
(* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))) |
(* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) |
(+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
(/ -1/2 n) |
-1/2 |
(+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
(/ (+ (/ 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)))) |
(/ 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)) |
(* n x) |
(* (/ -1 n) (- (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))) |
(/ -1 n) |
-1 |
n |
(- (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)) |
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 |
| Outputs |
|---|
(/ (/ (pow x (/ 1 n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/ (pow x (/ 1 n)) n) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) |
(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 |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(* (* x (* x x)) (- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (+.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))))) |
(* x (* x x)) |
(*.f64 x (*.f64 x x)) |
x |
(* x x) |
(*.f64 x x) |
(- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))))) |
(+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x n))))) |
(+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) |
(+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) 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)) |
n |
(* n n) |
(*.f64 n n) |
(/ 1/3 n) |
(/.f64 #s(literal 1/3 binary64) n) |
1/3 |
#s(literal 1/3 binary64) |
(+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n)))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x n))) |
(/ 1 (* n (* x x))) |
(/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) |
1 |
#s(literal 1 binary64) |
(* n (* x x)) |
(*.f64 x (*.f64 x n)) |
(/ 1/2 (* x (* n n))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) (*.f64 x n)) |
1/2 |
#s(literal 1/2 binary64) |
(* x (* n n)) |
(*.f64 x (*.f64 n n)) |
(+ (/ 1/2 (* n n)) (/ 1/2 (* x n))) |
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) |
(/ 1/2 (* n n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (* x n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 x n)) |
(* x n) |
(*.f64 x n) |
(/ (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) x) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 n x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) x))) (*.f64 x (*.f64 x n))) |
(/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 n x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) x))) (*.f64 x n)) |
(+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 n x)) (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(* (pow x (/ 1 n)) x) |
(pow.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n))) |
(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 |
(* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) n)) (+.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) (/.f64 n x))))) |
(* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) x)))) |
(+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))) |
(+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) x))) |
(/ -1/2 n) |
(/.f64 #s(literal -1/2 binary64) n) |
-1/2 |
#s(literal -1/2 binary64) |
(+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)) |
(+.f64 (/.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)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) x)) |
(/ 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) |
(/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) x) |
(+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.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)) |
(* n x) |
(*.f64 x n) |
(* (/ -1 n) (- (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 (*.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) |
(/ -1 n) |
(/.f64 #s(literal -1 binary64) n) |
-1 |
#s(literal -1 binary64) |
n |
(- (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 (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)) |
(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 #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) |
(+ (* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) (* (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (/ 1/6 n))) |
(+.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))) |
(* 1/2 (* (log (* x (+ x 1))) (log (/ (+ x 1) x)))) |
(*.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)))) |
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 (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)) |
(- (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) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.4% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 99.4% | (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 99.3% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 97.8% | (+.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 | 95.6% | (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) |
| ✓ | accuracy | 91.9% | (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))) |
| ✓ | accuracy | 91.4% | (+.f64 (/.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)) |
| ✓ | accuracy | 92.2% | (+.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) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))) |
| ✓ | accuracy | 91.7% | (*.f64 n (*.f64 x x)) |
| ✓ | accuracy | 90.2% | (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))) |
| ✓ | accuracy | 71.7% | (*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | 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)) n) |
| ✓ | accuracy | 99.9% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| 106.0ms | 136× | 0 | valid |
| 102.0ms | 120× | 1 | exit |
Compiled 873 to 70 computations (92% saved)
ival-div: 51.0ms (29.3% of total)ival-mult: 40.0ms (23% of total)adjust: 34.0ms (19.5% of total)ival-add: 13.0ms (7.5% of total)ival-log: 13.0ms (7.5% of total)ival-pow: 10.0ms (5.7% of total)...in/eval/compile.rkt:111:19: 7.0ms (4% of total)ival-sub: 4.0ms (2.3% of total)ival-log1p: 2.0ms (1.1% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (pow x (/ 1 n)) n) x)> |
#<alt (/ (pow x (/ 1 n)) n)> |
#<alt (pow x (/ 1 n))> |
#<alt (/ 1 n)> |
#<alt (- 1 1)> |
#<alt (* (* x (* x x)) (- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))))> |
#<alt (* x (* x x))> |
#<alt (* x x)> |
#<alt (- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))> |
#<alt (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))))> |
#<alt (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))> |
#<alt (/ (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) x)> |
#<alt (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x))> |
#<alt (* (/ -1 n) (- (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 (/ -1 n)> |
#<alt (- (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 (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))> |
#<alt (* n (* x x))> |
#<alt (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n)))))> |
#<alt (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))> |
#<alt (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))> |
#<alt (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n))))> |
#<alt (- (pow (log (+ 1 x)) 3) (pow (log x) 3))> |
#<alt (log (/ (+ x 1) x))> |
#<alt (pow (log x) 3)> |
| Outputs |
|---|
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ 1 (* n x))> |
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)> |
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)> |
#<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))))) n)> |
#<alt (/ 1 (* n x))> |
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) n)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ (exp (/ (log x) n)) n)> |
#<alt (/ 1 n)> |
#<alt (/ (+ 1 (/ (log x) n)) n)> |
#<alt (/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n)> |
#<alt (/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n)> |
#<alt (/ 1 n)> |
#<alt (* -1 (/ (- (* -1 (/ (log x) n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 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)))> |
#<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 n)> |
#<alt (* x (+ (* x (- (* 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 (* 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))))) (/ 1/2 (* n x))) (/ 1/2 (* (pow n 2) 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 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x))) 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 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x))) x)))))> |
#<alt (* 1/6 (/ (pow x 3) (pow n 3)))> |
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow x 3)) (* n (+ (* n (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))))) (pow n 3))> |
#<alt (/ (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) n)> |
#<alt (/ (+ (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (/ (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) n)) n)> |
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (/ (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) n))) n)> |
#<alt (/ (+ (* 1/6 (/ (pow x 3) (pow n 2))) (+ (* (pow x 3) (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x)))) (/ (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) n))) n)> |
#<alt (* -1 (/ (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2))))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2)) n)) (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) n)) (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))) n))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* 1/6 (/ (pow x 3) n)) (* (pow x 3) (- (* 1/2 (/ 1 x)) 1/2))) n)) (* (pow x 3) (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))))) n))> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 3)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (pow x 2)> |
#<alt (/ 1/6 (pow n 3))> |
#<alt (/ (+ 1/6 (* n (- (* 1/2 (/ 1 x)) 1/2))) (pow n 3))> |
#<alt (/ (+ 1/6 (* n (- (+ (* 1/2 (/ 1 x)) (* n (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) 1/2))) (pow n 3))> |
#<alt (/ (+ 1/6 (* n (- (+ (* 1/2 (/ 1 x)) (* n (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))))) 1/2))) (pow n 3))> |
#<alt (/ (- (+ 1/3 (/ 1 (pow x 2))) (* 1/2 (/ 1 x))) n)> |
#<alt (/ (- (+ 1/3 (+ (/ 1/2 (* n x)) (/ 1 (pow x 2)))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)> |
#<alt (/ (- (+ 1/3 (+ (/ 1/6 (pow n 2)) (+ (/ 1/2 (* n x)) (/ 1 (pow x 2))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)> |
#<alt (/ (- (+ 1/3 (+ (/ 1/6 (pow n 2)) (+ (/ 1/2 (* n x)) (/ 1 (pow x 2))))) (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 n)))) n)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) (+ 1/3 (/ 1 (pow x 2)))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ 1 x)) 1/2) n)) (* 1/2 (/ 1 x))) (+ 1/3 (/ 1 (pow x 2)))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/6 (/ 1 n))) 1/2) n)) (* 1/2 (/ 1 x))) (+ 1/3 (/ 1 (pow x 2)))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* 1/2 (/ 1 x)) (* 1/6 (/ 1 n))) 1/2) n)) (* 1/2 (/ 1 x))) (+ 1/3 (/ 1 (pow x 2)))) n))> |
#<alt (/ 1 (* n (pow x 2)))> |
#<alt (/ (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) (pow x 2))> |
#<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)))) (/ 1 n)) (pow x 2))> |
#<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)))) (/ 1 n)) (pow x 2))> |
#<alt (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))> |
#<alt (- (+ (* 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 (/ 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 (- (+ (* 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 (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))> |
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))> |
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))> |
#<alt (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n)))) (* 1/2 (/ 1 (pow n 2))))> |
#<alt (/ (* n (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x)> |
#<alt (/ (+ (* n (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))))) (* n (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))))) x)> |
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#<alt (/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x)> |
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x))> |
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))> |
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))> |
#<alt (* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x))> |
#<alt (* -1 (log x))> |
#<alt (+ x (* -1 (log x)))> |
#<alt (+ (* -1 (log x)) (* x (+ 1 (* -1/2 x))))> |
#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))> |
#<alt (/ 1 x)> |
#<alt (/ (- 1 (* 1/2 (/ 1 x))) x)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x)> |
#<alt (/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x)> |
#<alt (/ 1 x)> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) 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)> |
123 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | (/ (/ (pow x (/ 1 n)) n) x) |
| 6.0ms | n | @ | inf | (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) |
| 5.0ms | n | @ | inf | (/ (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) x) |
| 5.0ms | x | @ | -inf | (/ (/ (pow x (/ 1 n)) n) x) |
| 3.0ms | x | @ | -inf | (* (/ -1 n) (- (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))) |
| 1× | batch-egg-rewrite |
| 4 668× | *-lowering-*.f32 |
| 4 668× | *-lowering-*.f64 |
| 3 636× | /-lowering-/.f32 |
| 3 636× | /-lowering-/.f64 |
| 3 446× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 70 | 513 |
| 1 | 490 | 512 |
| 2 | 6623 | 512 |
| 0 | 8062 | 464 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (pow x (/ 1 n)) n) x) |
(/ (pow x (/ 1 n)) n) |
(pow x (/ 1 n)) |
(/ 1 n) |
(- 1 1) |
(* (* x (* x x)) (- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n))))) |
(* x (* x x)) |
(* x x) |
(- (+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) (+ (/ 1/2 (* n n)) (/ 1/2 (* x n)))) |
(+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) |
(* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x))))) |
(/ (/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) x) |
(/ (+ (* (pow x (/ 1 n)) x) (* n (* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)))))) (* n x)) |
(* (/ -1 n) (- (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))) |
(/ -1 n) |
(- (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))) |
(+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n)))) |
(* n (* x x)) |
(+ (+ (/ 1/6 (* n (* n n))) (/ 1/3 n)) (+ (/ 1 (* n (* x x))) (/ 1/2 (* x (* n n))))) |
(+ (/ 1/2 (* n n)) (/ (+ (/ 1/6 (* n (* n n))) (+ (/ 1/3 n) (/ -1/2 (* n n)))) x)) |
(* (pow x (/ 1 n)) (+ (/ -1/2 n) (+ (/ 1/2 (* n n)) (/ (+ (/ 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)))) |
(- (pow (log (+ 1 x)) 3) (pow (log x) 3)) |
(log (/ (+ x 1) x)) |
(pow (log x) 3) |
| Outputs |
|---|
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (-.f64 #s(literal 0 binary64) x))) |
(neg.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) (*.f64 x n))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) #s(literal 1 binary64)) x) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) x)) n) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
(pow.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) x) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) n) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) x)) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 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))) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) n) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n)) |
(pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (/.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) n)) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 x (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 x x) (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) |
(pow.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(pow.f64 (exp.f64 (log.f64 x)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64))) (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 n) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1 binary64) n)) |
(/.f64 #s(literal 1 binary64) n) |
(/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) n)) |
(pow.f64 n #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (-.f64 #s(literal 0 binary64) 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 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) |
#s(literal 0 binary64) |
(+.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (-.f64 (/.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))))))) |
(+.f64 (*.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 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (-.f64 (/.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))))) (*.f64 x (*.f64 x x)))) |
(+.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))))) (*.f64 x (*.f64 x x))) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (-.f64 (/.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))))))) |
(fma.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 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))))) (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (/.f64 #s(literal 1/3 binary64) n)) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (-.f64 (/.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))))) (*.f64 x (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) x) (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n)))))) (*.f64 x (*.f64 x x)) (*.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n)) (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x n)))) (*.f64 x (*.f64 x x)))) |
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(+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
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(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (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 (log.f64 x) #s(literal 9 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (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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(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (log1p.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (log.f64 x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log1p.f64 x) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(fma.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (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 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 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 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) |
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(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (pow.f64 (*.f64 (log1p.f64 x) (log.f64 x)) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (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 9 binary64)) (pow.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (-.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (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 9 binary64)) (pow.f64 (log.f64 x) #s(literal 9 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.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 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (+.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 (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))) |
(*.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) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (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 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64)))) |
(log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
(+.f64 #s(literal 0 binary64) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(+.f64 (log1p.f64 x) (-.f64 #s(literal 0 binary64) (log.f64 x))) |
(+.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)))) |
(+.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (log1p.f64 x)) |
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(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.f64 #s(literal 0 binary64) (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (log.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x))) (log.f64 (-.f64 #s(literal 0 binary64) x))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x)))) |
(-.f64 (log1p.f64 (*.f64 x (*.f64 x x))) (log.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64))))))) |
(-.f64 (log.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) x)))) |
(-.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) (-.f64 #s(literal 0 binary64) (log1p.f64 x))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))))) |
(-.f64 (log.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) x)))) (log.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 x #s(literal -1 binary64)))) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))) (log.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64))) (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (log.f64 x)) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 (+.f64 (*.f64 x x) #s(literal 1 binary64)) x))) |
(-.f64 (log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x))) (log1p.f64 (*.f64 x (+.f64 x #s(literal -1 binary64))))) |
(-.f64 (log.f64 (*.f64 (+.f64 (*.f64 x x) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x))) (log.f64 (-.f64 #s(literal 1 binary64) x))) |
(fma.f64 #s(literal -1 binary64) (log.f64 x) (log1p.f64 x)) |
(neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(neg.f64 (log.f64 (/.f64 (/.f64 x (+.f64 x #s(literal 1 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 (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 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x)))) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (log.f64 x))) #s(literal 3 binary64)) |
(*.f64 (log.f64 x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 x)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) |
| 1× | egg-herbie |
| 6 148× | accelerator-lowering-fma.f32 |
| 6 148× | accelerator-lowering-fma.f64 |
| 5 054× | *-lowering-*.f32 |
| 5 054× | *-lowering-*.f64 |
| 4 812× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1460 | 14100 |
| 1 | 4617 | 13527 |
| 0 | 8469 | 13052 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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(/ (exp (/ (log x) n)) (* n x)) |
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(* x (exp (* -1 (/ (log (/ 1 x)) n)))) |
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(- (+ (/ 1/6 (* (pow n 3) x)) (+ (/ 1/3 (* n x)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (* (pow n 2) x))) |
(- (+ (/ 1/6 (* (pow n 3) x)) (+ (/ 1/3 (* n x)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (* (pow n 2) x))) |
(/ (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x) |
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x) |
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x) |
(/ (+ (* x (* (exp (/ (log x) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) (* (exp (/ (log x) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) x) |
(* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(+ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(+ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(+ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(+ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) x)) |
(* 1/6 (/ (exp (/ (log x) n)) (* (pow n 3) x))) |
(/ (+ (* 1/6 (/ (exp (/ (log x) n)) x)) (* n (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x)))))) (pow n 3)) |
(/ (+ (* 1/6 (/ (exp (/ (log x) n)) x)) (* n (+ (* n (* (exp (/ (log x) n)) (- (* 1/3 (/ 1 x)) 1/2))) (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x))))))) (pow n 3)) |
(/ (+ (* 1/6 (/ (exp (/ (log x) n)) x)) (* n (+ (* n (* (exp (/ (log x) n)) (- (* 1/3 (/ 1 x)) 1/2))) (* (exp (/ (log x) n)) (- 1/2 (* 1/2 (/ 1 x))))))) (pow n 3)) |
(/ (- (* 1/3 (/ 1 x)) 1/2) n) |
(/ (- (+ (* 1/3 (/ 1 x)) (+ (* 1/2 (/ 1 n)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) n))) (+ 1/2 (/ 1/2 (* n x)))) n) |
(/ (- (+ (* 1/3 (/ 1 x)) (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (pow n 2))) (+ (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (* (pow n 2) x))) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (pow n 2)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) n)))))) (+ 1/2 (/ 1/2 (* n x)))) n) |
(/ (- (+ (* 1/6 (/ (log x) (* (pow n 3) x))) (+ (* 1/6 (/ (* (pow (log x) 3) (- (* 1/3 (/ 1 x)) 1/2)) (pow n 3))) (+ (* 1/3 (/ 1 x)) (+ (* 1/2 (/ (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x)))) (pow n 3))) (+ (* 1/2 (/ (* (pow (log x) 2) (- (* 1/3 (/ 1 x)) 1/2)) (pow n 2))) (+ (* 1/2 (/ 1 n)) (+ (* 1/6 (/ 1 (* (pow n 2) x))) (+ (/ (* (log x) (- 1/2 (* 1/2 (/ 1 x)))) (pow n 2)) (/ (* (log x) (- (* 1/3 (/ 1 x)) 1/2)) n))))))))) (+ 1/2 (/ 1/2 (* n x)))) n) |
(* -1 (/ (- 1/2 (* 1/3 (/ 1 x))) n)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (* -1 (* (log x) (- 1/2 (* 1/3 (/ 1 x)))))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (+ (* -1 (* (log x) (- 1/2 (* 1/3 (/ 1 x))))) (* -1 (/ (- (+ (* -1 (* (log x) (- 1/2 (* 1/2 (/ 1 x))))) (* 1/2 (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x)))))) (* 1/6 (/ 1 x))) n)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n)) |
(* -1 (/ (- (+ 1/2 (* -1 (/ (- (+ 1/2 (+ (* -1 (* (log x) (- 1/2 (* 1/3 (/ 1 x))))) (* -1 (/ (- (+ (* -1 (* (log x) (- 1/2 (* 1/2 (/ 1 x))))) (+ (* -1 (/ (+ (* -1/6 (* (pow (log x) 3) (- 1/2 (* 1/3 (/ 1 x))))) (+ (* 1/6 (/ (log x) x)) (* 1/2 (* (pow (log x) 2) (- 1/2 (* 1/2 (/ 1 x))))))) n)) (* 1/2 (* (pow (log x) 2) (- 1/2 (* 1/3 (/ 1 x))))))) (* 1/6 (/ 1 x))) n)))) (* 1/2 (/ 1 x))) n))) (* 1/3 (/ 1 x))) n)) |
(/ 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)) |
(* -1 (pow (log x) 3)) |
(- (pow x 3) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* -3/2 x))) (pow (log x) 3)) |
(- (* (pow x 3) (+ 1 (* x (- (* 7/4 x) 3/2)))) (pow (log x) 3)) |
(/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) x) |
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2))))) x) |
(/ (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))) x) |
(/ (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -4/3 (/ (log (/ 1 x)) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow x 3))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) x)) (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow x 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow x 3))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) x)) (+ (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow x 3))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow x 2))) (+ (* 2 (/ (log (/ 1 x)) (pow x 2))) (+ (* 2 (pow (log (/ 1 x)) 2)) (+ (/ 1 (pow x 2)) (pow (log (/ 1 x)) 2))))))))))))) (/ 1 (pow x 3))) x) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/ 1 x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(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) |
| Outputs |
|---|
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 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 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 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 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 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (log.f64 x) n) x)) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (log.f64 x) n) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 n n)))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(/.f64 (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (log.f64 x) n) x)) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x (*.f64 n n)))) (*.f64 (/.f64 #s(literal 1/6 binary64) x) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n (*.f64 n n))))) n) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 0 binary64) (log.f64 x)) n) x) (/.f64 #s(literal -1 binary64) x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 x n)) (/.f64 (log.f64 x) x)) (neg.f64 n)) (/.f64 #s(literal -1 binary64) x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (log.f64 x) x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 x n)) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) x))) n)) (neg.f64 n)) (/.f64 #s(literal -1 binary64) x)) (neg.f64 n)) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ (exp (/ (log x) n)) n) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ 1 (/ (log x) n)) n) |
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) |
(/ (+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)))) n) |
(/ (+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) n) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 #s(literal 1/2 binary64) (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))))) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(* -1 (/ (- (* -1 (/ (log x) n)) 1) n)) |
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)) 1) n)) |
(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 x) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)) (neg.f64 n)) #s(literal -1 binary64)) (neg.f64 n)) |
(* -1 (/ (- (* -1 (/ (+ (log x) (* -1 (/ (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n))) n))) n)) 1) n)) |
(/.f64 (+.f64 (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) n)) (neg.f64 n)) #s(literal -1 binary64)) (neg.f64 n)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp (/ (log x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
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(/.f64 (*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) #s(literal -3 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (-.f64 (-.f64 (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (+ (* -2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* -1 (/ (+ (* -1 (/ (+ (log -1) (+ (* -1 (log (/ -1 x))) (+ (* -1 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1 (/ (+ (* -1 (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/2 (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x))))))) (+ (* -1/4 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2/3 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x))))))))) x)) (+ (* -1/3 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))))) x)) (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (+ (* 2 (+ (log -1) (* -1 (log (/ -1 x))))) (* (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) (+ (log -1) (* -1 (log (/ -1 x)))))))) x)) (* -1 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)))) x)) |
(/.f64 (-.f64 (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))))) (/.f64 (+.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (-.f64 (-.f64 (+.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64)))) (*.f64 #s(literal -1/3 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))))) (*.f64 #s(literal -1/4 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)))) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 2/3 binary64) (+.f64 #s(literal 11/12 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -1/2 binary64)))))) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal -2/3 binary64)))) x)) (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))))) x)) x)) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (log x)) |
(-.f64 #s(literal 0 binary64) (log.f64 x)) |
(+ x (* -1 (log x))) |
(-.f64 x (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)))) (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(-.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)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/4 binary64) (*.f64 x (*.f64 x x))))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/3 binary64) x) #s(literal 1/2 binary64)) x) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) x) #s(literal 1/3 binary64)) x) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) x)) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) x)) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(* -1 (pow (log (/ 1 x)) 3)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(* -1 (pow (log (/ 1 x)) 3)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(* -1 (pow (log (/ 1 x)) 3)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) |
Compiled 79 674 to 5 999 computations (92.5% saved)
39 alts after pruning (36 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 351 | 15 | 1 366 |
| Fresh | 14 | 21 | 35 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 369 | 39 | 1 408 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.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 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))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n)) | |
| ▶ | 64.3% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| ✓ | 64.3% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| 48.9% | (/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) | |
| 49.7% | (/.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)) | |
| 48.5% | (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) | |
| 52.6% | (/.f64 (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 n (-.f64 (log.f64 x) (log1p.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 #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 n)) (-.f64 #s(literal 0 binary64) n)) | |
| 43.5% | (/.f64 (/.f64 #s(literal 1 binary64) n) x) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) | |
| 32.1% | (/.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)))) | |
| 44.9% | (/.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)))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) | |
| 35.4% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) | |
| 9.3% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) | |
| 29.0% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) | |
| 29.0% | (/.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)))) | |
| 6.2% | (/.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))) | |
| 2.6% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) | |
| 7.9% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 62.6% | (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) | |
| 4.6% | (/.f64 x n) | |
| 50.5% | (/.f64 #s(literal 1 binary64) (/.f64 n (neg.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 n #s(literal 1/6 binary64)))) n))))) | |
| 42.9% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 59.5% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 59.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.1% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 25.1% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 7.5% | (-.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 (*.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))))))) #s(literal 1 binary64)) | |
| 62.0% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 62.0% | (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 43.8% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 41.0% | (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) |
| 28.8% | (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) | |
| 25.8% | (*.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) | |
| 33.1% | (*.f64 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.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 #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 n))) | |
| 62.5% | (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 4.9% | (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) | |
| ▶ | 5.0% | (*.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))))) |
| ▶ | 36.5% | #s(literal 0 binary64) |
Compiled 2 515 to 1 193 computations (52.6% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n) |
| ✓ | cost-diff | 256 | (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) |
| ✓ | cost-diff | 6208 | (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) |
| ✓ | cost-diff | 6464 | (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 128 | (+.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)) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal 1 binary64) 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)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) n) |
| ✓ | cost-diff | 0 | (+.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)))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) |
| ✓ | cost-diff | 128 | (*.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))))) |
| ✓ | 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) |
| 14 442× | accelerator-lowering-fma.f32 |
| 14 442× | accelerator-lowering-fma.f64 |
| 3 106× | *-lowering-*.f32 |
| 3 106× | *-lowering-*.f64 |
| 3 036× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 430 |
| 1 | 112 | 418 |
| 2 | 251 | 418 |
| 3 | 481 | 395 |
| 4 | 1108 | 395 |
| 5 | 2378 | 389 |
| 6 | 7610 | 389 |
| 0 | 8154 | 356 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (pow x (/ 1 n)) x) n) |
(/ (pow x (/ 1 n)) x) |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
1 |
n |
0 |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))) |
x |
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))) |
(/ 1 n) |
1 |
n |
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
(/ -1/2 n) |
-1/2 |
(- (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) |
1 |
(* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n))) |
x |
(+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)) |
(/ 1 n) |
n |
(/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n) |
(+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) |
(* x (+ (* x 1/3) -1/2)) |
(+ (* x 1/3) -1/2) |
(* x 1/3) |
1/3 |
-1/2 |
(/ (* x (+ 1/2 (* x -1/2))) n) |
(* x (+ 1/2 (* x -1/2))) |
(+ 1/2 (* x -1/2)) |
1/2 |
(* x -1/2) |
(pow x (/ 1 n)) |
(- 0 (/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n)) |
0 |
(/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n) |
(- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) |
(log x) |
x |
(/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n) |
(+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) |
(/ (* -1/6 (pow (log x) 3)) n) |
(* -1/6 (pow (log x) 3)) |
-1/6 |
(pow (log x) 3) |
3 |
n |
(* -1/2 (pow (log x) 2)) |
-1/2 |
(pow (log x) 2) |
2 |
| Outputs |
|---|
(/ (/ (pow x (/ 1 n)) x) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) 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 |
0 |
#s(literal 0 binary64) |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))) |
(*.f64 (/.f64 x n) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))) |
x |
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) #s(literal 1 binary64))) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
n |
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) |
(*.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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) |
(- (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) (pow x (/ 1 n))) |
(+.f64 (*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) |
1 |
#s(literal 1 binary64) |
(* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n))) |
(*.f64 (/.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))) |
x |
(+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))) n) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n) |
(*.f64 (/.f64 x n) (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))) |
(+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) |
(*.f64 x (+.f64 (*.f64 x #s(literal 1/3 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))) |
(* x (+ (* x 1/3) -1/2)) |
(*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))) |
(+ (* x 1/3) -1/2) |
(+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) |
(* x 1/3) |
(*.f64 x #s(literal 1/3 binary64)) |
1/3 |
#s(literal 1/3 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
(/ (* x (+ 1/2 (* x -1/2))) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)) |
(* x (+ 1/2 (* x -1/2))) |
(*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) |
(+ 1/2 (* x -1/2)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(- 0 (/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n)) |
(/.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n))) n) #s(literal -1 binary64))) n) |
0 |
#s(literal 0 binary64) |
(/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n))) n) #s(literal -1 binary64))) n)) |
(- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) |
(-.f64 #s(literal 0 binary64) (*.f64 (log.f64 x) (+.f64 (/.f64 (*.f64 (log.f64 x) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n))) n) #s(literal -1 binary64)))) |
(log x) |
(log.f64 x) |
x |
(/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n))) n) |
(+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (log.f64 x) #s(literal -1/6 binary64)) n))) |
(/ (* -1/6 (pow (log x) 3)) n) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) |
(* -1/6 (pow (log x) 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
-1/6 |
#s(literal -1/6 binary64) |
(pow (log x) 3) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
3 |
#s(literal 3 binary64) |
n |
(* -1/2 (pow (log x) 2)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
-1/2 |
#s(literal -1/2 binary64) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.6% | (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) |
| ✓ | accuracy | 99.4% | (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| ✓ | accuracy | 99.2% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 98.9% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 96.3% | (+.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)) |
| ✓ | accuracy | 90.7% | (/.f64 (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64)))) n) |
| ✓ | accuracy | 90.3% | (/.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) |
| ✓ | accuracy | 69.2% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 99.9% | (+.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)))) |
| ✓ | accuracy | 99.2% | (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
| ✓ | accuracy | 97.9% | (*.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))))) |
| ✓ | accuracy | 94.3% | (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) 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 | 99.8% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) n) |
| 77.0ms | 177× | 0 | valid |
| 58.0ms | 35× | 2 | valid |
| 36.0ms | 44× | 1 | valid |
Compiled 433 to 47 computations (89.1% saved)
ival-div: 40.0ms (29.1% of total)ival-pow: 39.0ms (28.4% of total)ival-mult: 20.0ms (14.6% of total)ival-add: 12.0ms (8.7% of total)...in/eval/compile.rkt:111:19: 7.0ms (5.1% of total)adjust: 6.0ms (4.4% of total)ival-sub: 5.0ms (3.6% of total)ival-log: 5.0ms (3.6% of total)ival-pow2: 4.0ms (2.9% of total)...in/eval/compile.rkt:110:19: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (/ (pow x (/ 1 n)) x) n)> |
#<alt (/ (pow x (/ 1 n)) x)> |
#<alt (pow x (/ 1 n))> |
#<alt (/ 1 n)> |
#<alt (* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))))> |
#<alt (+ (/ 1/2 (* n n)) (/ -1/2 n))> |
#<alt (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))> |
#<alt (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n))> |
#<alt (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n))> |
#<alt (- (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) (pow x (/ 1 n)))> |
#<alt (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n))))> |
#<alt (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2)))> |
#<alt (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n))> |
#<alt (- 0 (/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n))> |
#<alt (/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n)> |
#<alt (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))> |
#<alt (/ 1/2 (* n n))> |
#<alt (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)> |
#<alt (/ (* x (+ 1/2 (* x -1/2))) n)> |
#<alt (pow (log x) 3)> |
#<alt (pow (log x) 2)> |
#<alt (* -1/6 (pow (log x) 3))> |
#<alt (/ (* -1/6 (pow (log x) 3)) n)> |
| Outputs |
|---|
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ (exp (/ (log x) n)) (* n x))> |
#<alt (/ 1 (* n x))> |
#<alt (/ (+ (/ 1 x) (/ (log x) (* n x))) n)> |
#<alt (/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n)> |
#<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))))) n)> |
#<alt (/ 1 (* n x))> |
#<alt (* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n))> |
#<alt (* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n))> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)> |
#<alt (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)> |
#<alt (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ (exp (/ (log x) n)) x)> |
#<alt (/ 1 x)> |
#<alt (+ (/ 1 x) (/ (log x) (* n x)))> |
#<alt (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))> |
#<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)> |
#<alt (+ (/ 1 x) (/ (log x) (* n x)))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x))> |
#<alt (+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x))> |
#<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)))> |
#<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 n)> |
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))> |
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))> |
#<alt (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2))> |
#<alt (/ (* x (+ 1 (* -1/2 x))) n)> |
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)> |
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)> |
#<alt (/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n)> |
#<alt (* -1 (/ (* x (- (* 1/2 x) 1)) n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))> |
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))> |
#<alt (/ (+ 1/2 (* -1/2 n)) (pow n 2))> |
#<alt (/ -1/2 n)> |
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)> |
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)> |
#<alt (/ (- (* 1/2 (/ 1 n)) 1/2) n)> |
#<alt (/ -1/2 n)> |
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))> |
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))> |
#<alt (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n))> |
#<alt (* 1/2 (/ x (pow n 2)))> |
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ 1 (* -1/2 x)) n)> |
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)> |
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)> |
#<alt (/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n)> |
#<alt (* -1 (/ (- (* 1/2 x) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n))> |
#<alt (/ 1 n)> |
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))> |
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))> |
#<alt (* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x)))))> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) (pow n 2))> |
#<alt (/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ 1 (* x (- (* 1/3 x) 1/2))) n)> |
#<alt (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)> |
#<alt (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)> |
#<alt (/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n)> |
#<alt (* -1 (/ (- (* -1 (* x (- (* 1/3 x) 1/2))) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n))> |
#<alt (* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n))> |
#<alt (/ 1 n)> |
#<alt (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))> |
#<alt (* (pow x 2) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 2) (- (+ (* 1/3 (/ 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 2) (- (+ (* 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 2) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* x (- (* 1/2 (/ 1 n)) 1/2))> |
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))> |
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))> |
#<alt (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x)))))> |
#<alt (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n))))> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n)> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n)> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n)> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<alt (* x (- (* 1/3 x) 1/2))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<alt (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))> |
#<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 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n)))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 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) (- (+ (* 1/3 (/ 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) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/2 (* n x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 3))))))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (* n x))) (/ 1/2 (* (pow n 2) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x))) x)))))> |
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))> |
#<alt (/ (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) n)> |
#<alt (/ (- (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (- (+ (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (- (+ (* -1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)> |
#<alt (* -1 (/ (- (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1)) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* (pow x 2) (+ 1/2 (* -1/2 x))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1/6 (/ (pow (log x) 3) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (* 1/2 (pow (log x) 2))) n)) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) (* -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 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n))))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* (pow x 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) (- (+ (* 1/3 (/ 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) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x)))))> |
#<alt (* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))> |
#<alt (* -1 (* (pow x 3) (- (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (* n x))) (/ 1/2 (* (pow n 2) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x))) x)))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (+ (/ 1 (* n x)) (/ 1 (pow x 2)))) x)))))> |
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))> |
#<alt (/ (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (+ n (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt 1> |
#<alt (+ 1 (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n))> |
#<alt (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))> |
#<alt (+ 1 (+ (/ (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) n) (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (/ (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1)) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) n)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (* (pow x 2) (+ 1/2 (* -1/2 x))) n)) (* x (- (* -1 (* x (- (* 1/3 x) 1/2))) 1))) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))> |
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))> |
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))> |
#<alt (+ (* -1/2 (pow (log (/ 1 x)) 2)) (* 1/6 (/ (pow (log (/ 1 x)) 3) n)))> |
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))> |
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))> |
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))> |
#<alt (+ (* -1/2 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)> |
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)> |
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) n)> |
#<alt (* -1/2 (pow (log x) 2))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (* -1/2 (pow (log x) 2))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* -1/6 (/ (pow (log x) 3) n)))> |
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2)))))> |
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))> |
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))> |
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))> |
#<alt (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2)))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))> |
#<alt (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2)))))> |
#<alt (* 1/6 (/ (pow (log x) 3) (pow n 2)))> |
#<alt (/ (- (* 1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 2))> |
#<alt (/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))> |
#<alt (/ (- (* n (- (* n (log x)) (* -1/2 (pow (log x) 2)))) (* -1/6 (pow (log x) 3))) (pow n 2))> |
#<alt (log x)> |
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))> |
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))> |
#<alt (- (+ (log x) (* 1/6 (/ (pow (log x) 3) (pow n 2)))) (* -1/2 (/ (pow (log x) 2) n)))> |
#<alt (log x)> |
#<alt (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))> |
#<alt (+ (log x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)))> |
#<alt (+ (log x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))> |
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))> |
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))> |
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* -1/6 (/ (pow (log x) 3) (pow n 3)))) (/ (log x) n))> |
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 3)))) (* -1 (/ (log (/ 1 x)) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))> |
#<alt (- (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) (pow n 2))) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 3)))) (+ (* -1 (/ (log (/ -1 x)) n)) (/ (log -1) n)))> |
#<alt (* -1/6 (/ (pow (log x) 3) (pow n 3)))> |
#<alt (/ (+ (* -1/2 (* n (pow (log x) 2))) (* -1/6 (pow (log x) 3))) (pow n 3))> |
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))> |
#<alt (/ (+ (* -1/6 (pow (log x) 3)) (* n (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))))) (pow n 3))> |
#<alt (* -1 (/ (log x) n))> |
#<alt (/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n)> |
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (- (* -1/6 (/ (pow (log x) 3) (pow n 2))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (* -1 (/ (log x) n))> |
#<alt (* -1 (/ (- (* 1/2 (/ (pow (log x) 2) n)) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n)) (* -1 (log x))) n))> |
#<alt (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)> |
#<alt (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)> |
#<alt (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)> |
#<alt (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)> |
#<alt (/ (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))))) n)> |
#<alt (/ (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))))) n)> |
#<alt (/ (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))))) n)> |
#<alt (/ (- (* -1 (log (/ 1 x))) (+ (* -1/2 (/ (pow (log (/ 1 x)) 2) n)) (* 1/6 (/ (pow (log (/ 1 x)) 3) (pow n 2))))) n)> |
#<alt (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))))) n)> |
#<alt (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))))) n)> |
#<alt (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))))) n)> |
#<alt (/ (- (+ (log -1) (* -1 (log (/ -1 x)))) (+ (* -1/2 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) n)) (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) (pow n 2))))) n)> |
#<alt (* 1/6 (/ (pow (log x) 3) (pow n 3)))> |
#<alt (/ (+ (* 1/6 (pow (log x) 3)) (* 1/2 (* n (pow (log x) 2)))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow (log x) 3)) (* n (+ (* 1/2 (pow (log x) 2)) (* n (log x))))) (pow n 3))> |
#<alt (/ (+ (* 1/6 (pow (log x) 3)) (* n (+ (* 1/2 (pow (log x) 2)) (* n (log x))))) (pow n 3))> |
#<alt (/ (log x) n)> |
#<alt (/ (+ (log x) (* 1/2 (/ (pow (log x) 2) n))) n)> |
#<alt (/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (log x) n)> |
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* 1/2 (/ x (pow n 2)))> |
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))> |
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))> |
#<alt (/ (+ (* -1/2 (* n x)) (* 1/2 x)) (pow n 2))> |
#<alt (* -1/2 (/ x n))> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)> |
#<alt (/ (+ (* -1/2 x) (* 1/2 (/ x n))) n)> |
#<alt (* -1/2 (/ x n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))> |
#<alt (* -1 (/ (+ (* -1/2 (/ x n)) (* 1/2 x)) n))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ 1/2 (pow n 2))> |
#<alt (/ (* x (- (* 1/2 (/ 1 n)) 1/2)) n)> |
#<alt (* x (- (+ (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (+ (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (* x (- (+ (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (pow n 2))) (* 1/2 (/ 1 n))))> |
#<alt (/ (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) n)> |
#<alt (* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (* 1/3 (/ 1 n))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (* 1/3 (/ 1 n))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 2)))))> |
#<alt (* (pow x 2) (- (+ (/ 1/2 (* (pow n 2) x)) (* 1/3 (/ 1 n))) (+ (/ 1/2 (* n x)) (/ 1/2 (pow n 2)))))> |
#<alt (/ (* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) n)> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (/ 1/2 (pow n 2))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (/ 1/2 (pow n 2))))> |
#<alt (* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (/ 1/2 (pow n 2))))> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) (pow n 2))> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2))> |
#<alt (/ (* x (- (* 1/3 x) 1/2)) n)> |
#<alt (/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n)> |
#<alt (/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n)> |
#<alt (/ (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) n)> |
#<alt (/ (* x (- (* 1/3 x) 1/2)) n)> |
#<alt (* -1 (/ (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) n))> |
#<alt (* 1/2 (/ x n))> |
#<alt (* x (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n))))> |
#<alt (* x (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n))))> |
#<alt (* x (+ (* -1/2 (/ x n)) (* 1/2 (/ 1 n))))> |
#<alt (* -1/2 (/ (pow x 2) n))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* -1/2 (/ (pow x 2) n))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (* (pow x 2) (- (* 1/2 (/ 1 (* n x))) (* 1/2 (/ 1 n))))> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<alt (/ (* x (+ 1/2 (* -1/2 x))) n)> |
#<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 (* -1/6 (pow (log x) 3))> |
#<alt (* -1/6 (pow (log x) 3))> |
#<alt (* -1/6 (pow (log x) 3))> |
#<alt (* -1/6 (pow (log x) 3))> |
#<alt (* 1/6 (pow (log (/ 1 x)) 3))> |
#<alt (* 1/6 (pow (log (/ 1 x)) 3))> |
#<alt (* 1/6 (pow (log (/ 1 x)) 3))> |
#<alt (* 1/6 (pow (log (/ 1 x)) 3))> |
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))> |
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))> |
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))> |
#<alt (* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) n))> |
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) n))> |
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) n))> |
#<alt (* 1/6 (/ (pow (log (/ 1 x)) 3) n))> |
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))> |
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))> |
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))> |
#<alt (* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
#<alt (* -1/6 (/ (pow (log x) 3) n))> |
120 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | n | @ | 0 | (/ (* -1/6 (pow (log x) 3)) n) |
| 10.0ms | n | @ | inf | (/ (* -1/6 (pow (log x) 3)) n) |
| 3.0ms | x | @ | inf | (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) |
| 3.0ms | n | @ | 0 | (/ 1/2 (* n n)) |
| 3.0ms | n | @ | 0 | (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) |
| 1× | batch-egg-rewrite |
| 4 592× | /-lowering-/.f32 |
| 4 592× | /-lowering-/.f64 |
| 3 796× | *-lowering-*.f32 |
| 3 796× | *-lowering-*.f64 |
| 2 940× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 311 |
| 1 | 326 | 301 |
| 2 | 3460 | 301 |
| 0 | 9063 | 275 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (/ (pow x (/ 1 n)) x) n) |
(/ (pow x (/ 1 n)) x) |
(pow x (/ 1 n)) |
(/ 1 n) |
(* x (+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))))) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(+ (/ 1 n) (* x (+ (/ 1/2 (* n n)) (/ -1/2 n)))) |
(+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)) |
(+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) |
(- (+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) (pow x (/ 1 n))) |
(+ 1 (* x (+ (/ 1 n) (/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n)))) |
(+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) |
(- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) |
(- 0 (/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n)) |
(/ (- (log x) (/ (+ (/ (* -1/6 (pow (log x) 3)) n) (* -1/2 (pow (log x) 2))) n)) n) |
(* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) |
(/ 1/2 (* n n)) |
(/ (+ (* x (+ (* x 1/3) -1/2)) (/ (* x (+ 1/2 (* x -1/2))) n)) n) |
(/ (* x (+ 1/2 (* x -1/2))) n) |
(pow (log x) 3) |
(pow (log x) 2) |
(* -1/6 (pow (log x) 3)) |
(/ (* -1/6 (pow (log x) 3)) n) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))))) |
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n) |
(/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (neg.f64 (*.f64 x n))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (*.f64 n (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) (*.f64 x n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64)) (*.f64 x (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) n)) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (neg.f64 (*.f64 x n)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (*.f64 n (-.f64 #s(literal 0 binary64) x)))) |
(/.f64 (neg.f64 (/.f64 #s(literal 1 binary64) n)) (neg.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64)) n) |
(/.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n)) x) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (neg.f64 (*.f64 x n))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal -1 binary64))) (neg.f64 (*.f64 x (-.f64 #s(literal 0 binary64) n)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64))) (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 0 binary64) n)))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 #s(literal 1 binary64) n))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) (-.f64 #s(literal 0 binary64) x)) |
(pow.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) n) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 n (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) |
(*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) x)) |
(*.f64 (*.f64 (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (pow.f64 (/.f64 n (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (pow.f64 (/.f64 n (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) #s(literal -1 binary64))) |
(neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) x) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (neg.f64 (-.f64 #s(literal 0 binary64) x))) |
(/.f64 (neg.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) x)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) x)))) |
(pow.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -1 binary64))) |
(pow.f64 x (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) #s(literal -1 binary64))) |
(pow.f64 x (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))) #s(literal -1 binary64))) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) n))) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))))) |
(pow.f64 x (+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) n))))) |
(pow.f64 (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -1 binary64)) |
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(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/6 binary64))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) (*.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1/6 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (log.f64 x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log.f64 x)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) n))) |
(neg.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))))))) |
(/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) n) |
(/.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) n)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal -1 binary64))) (neg.f64 (-.f64 #s(literal 0 binary64) n))) |
(pow.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 n (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n)) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) |
(*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) n) #s(literal -1/6 binary64)) |
(*.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| 1× | egg-herbie |
| 8 540× | accelerator-lowering-fma.f32 |
| 8 540× | accelerator-lowering-fma.f64 |
| 4 540× | *-lowering-*.f32 |
| 4 540× | *-lowering-*.f64 |
| 3 708× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 530 | 7400 |
| 1 | 1517 | 6956 |
| 2 | 4474 | 6865 |
| 0 | 8217 | 6504 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/ 1 (* n x)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(/ 1 (* n x)) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/ (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) |
(/ 1 x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(/ 1 x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(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))) |
(/ 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 n) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (* x (+ 1 (* -1/2 x))))) (pow n 2)) |
(/ (* x (+ 1 (* -1/2 x))) n) |
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n) |
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n) |
(/ (+ (* 1/2 (/ (pow x 2) n)) (* x (+ 1 (* -1/2 x)))) n) |
(* -1 (/ (* x (- (* 1/2 x) 1)) n)) |
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (* -1/2 (/ (pow x 2) n)) (* x (- (* 1/2 x) 1))) n)) |
(/ 1/2 (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(/ (+ 1/2 (* -1/2 n)) (pow n 2)) |
(/ -1/2 n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(/ (- (* 1/2 (/ 1 n)) 1/2) n) |
(/ -1/2 n) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) n)) |
(* 1/2 (/ x (pow n 2))) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* 1/2 x) (* n (+ 1 (* -1/2 x)))) (pow n 2)) |
(/ (+ 1 (* -1/2 x)) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(/ (+ 1 (+ (* -1/2 x) (* 1/2 (/ x n)))) n) |
(* -1 (/ (- (* 1/2 x) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(* -1 (/ (- (+ (* -1/2 (/ x n)) (* 1/2 x)) 1) n)) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* x (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))))) |
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))))) |
(* -1 (* x (- (* -1 (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 (* n x))))) |
(/ (* x (+ 1/2 (* -1/2 x))) (pow n 2)) |
(/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* n (+ 1 (* x (- (* 1/3 x) 1/2)))) (* x (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (+ 1 (* x (- (* 1/3 x) 1/2))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(/ (+ 1 (+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n))) n) |
(* -1 (/ (- (* -1 (* x (- (* 1/3 x) 1/2))) 1) n)) |
(* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n)) |
(* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n)) |
(* -1 (/ (- (+ (* -1 (* x (- (* 1/3 x) 1/2))) (* -1 (/ (* x (+ 1/2 (* -1/2 x))) n))) 1) n)) |
(/ 1 n) |
(+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)) |
(* (pow x 2) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 2) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 2) (- (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x)))) x)) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) |
(* x (- (* 1/2 (/ 1 n)) 1/2)) |
(* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)) |
(* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)) |
(* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2)) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- (+ 1/3 (/ 1/2 (* n x))) (+ (* 1/2 (/ 1 n)) (* 1/2 (/ 1 x))))) |
(* (pow x 2) (- 1/3 (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ 1/3 (* -1 (/ (- 1/2 (* 1/2 (/ 1 n))) x))) (* 1/2 (/ 1 n)))) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n) |
(/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n) |
(/ (+ (* n (* x (- (* 1/3 x) 1/2))) (* x (+ 1/2 (* -1/2 x)))) n) |
(* x (- (* 1/3 x) 1/2)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(* x (- (* 1/3 x) 1/2)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(+ (* x (- (* 1/3 x) 1/2)) (/ (* x (+ 1/2 (* -1/2 x))) n)) |
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(- (+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (exp (/ (log x) n))) |
(* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 n)) (/ 1/2 (* (pow n 2) x))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (/ 1 (* n (pow x 2))))) (+ (* 1/2 (/ 1 (pow n 2))) (/ 1/2 (* n x))))) |
(* (pow x 3) (- (+ (* 1/3 (/ 1 n)) (+ (/ 1/2 (* (pow n 2) x)) (+ (/ 1 (* n (pow x 2))) (/ 1 (pow x 3))))) (+ (* 1/2 (/ 1 (pow n 2))) (+ (/ 1/2 (* n x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) (pow x 3)))))) |
(* (pow x 3) (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) |
(* -1 (* (pow x 3) (- (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1/2 (* n x))) (/ 1/2 (* (pow n 2) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (/ 1 (* n x))) x))))) |
(* -1 (* (pow x 3) (+ (* -1 (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (+ (* -1 (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2))))) (* -1 (/ (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)) x))) x))))) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 x))) (pow n 2)) |
(/ (+ (* n (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2)) |
(/ (+ (* n (+ (* n (- 1 (exp (/ (log x) n)))) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))) (* (pow x 2) (+ 1/2 (* -1/2 x)))) (pow n 2)) |
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(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) n) |
(/ (* x (+ 1/2 (* -1/2 x))) 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) |
(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 (pow (log x) 3)) |
(* -1/6 (pow (log x) 3)) |
(* -1/6 (pow (log x) 3)) |
(* -1/6 (pow (log x) 3)) |
(* 1/6 (pow (log (/ 1 x)) 3)) |
(* 1/6 (pow (log (/ 1 x)) 3)) |
(* 1/6 (pow (log (/ 1 x)) 3)) |
(* 1/6 (pow (log (/ 1 x)) 3)) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
| Outputs |
|---|
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log 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 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 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 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 x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 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 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 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 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 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ (exp (/ (log x) n)) (* n x)) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x n)) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/ (+ (/ 1 x) (/ (log x) (* n x))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) n) |
(/ (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) n) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (log.f64 x) (*.f64 x n)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) n) x))) n) |
(/ (+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) n) |
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) n) x) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) x)))) n) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(* -1 (/ (- (* -1 (/ (log x) (* n x))) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) n) |
(* -1 (/ (- (* -1 (/ (+ (* 1/2 (/ (pow (log x) 2) (* n x))) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) x) (/.f64 (log.f64 x) x)) n)) n) |
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (pow (log x) 2) x)) (* -1/6 (/ (pow (log x) 3) (* n x)))) n)) (/ (log x) x)) n)) (/ 1 x)) n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x)) n)) n)) n) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) x) |
(/.f64 (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)) x) |
(/.f64 (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)) x) |
(/.f64 (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)) x) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ (exp (/ (log x) n)) x) |
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) |
(+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x)))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (log.f64 x) (*.f64 x n)) (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) n) x))) |
(+ (* 1/6 (/ (pow (log x) 3) (* (pow n 3) x))) (+ (* 1/2 (/ (pow (log x) 2) (* (pow n 2) x))) (+ (/ 1 x) (/ (log x) (* n x))))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) (+.f64 (/.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) n) x) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) x)))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(+ (/ 1 x) (/ (log x) (* n x))) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (log.f64 x) (*.f64 x n))) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1/2 (/ (pow (log x) 2) (* n x)))) n)) (/ 1 x)) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) x) (/.f64 (log.f64 x) x)) n)) |
(+ (* -1 (/ (+ (* -1 (/ (log x) x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) (* n x))) (* 1/2 (/ (pow (log x) 2) x))) n))) n)) (/ 1 x)) |
(+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 (/.f64 (log.f64 x) x) (/.f64 (+.f64 (/.f64 (/.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) x) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) x)) n)) 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 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ (log x) n)) |
(+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (log.f64 x) (/.f64 (*.f64 #s(literal 1/2 binary64) (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 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.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 n) |
(/.f64 x n) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) |
(* (pow x 2) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) |
(*.f64 x (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) |
(* (pow x 2) (- (+ (* 1/2 (/ 1 (pow n 2))) (/ 1 (* n x))) (* 1/2 (/ 1 n)))) |
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(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) |
(* -1/6 (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3)) |
(*.f64 #s(literal -1/6 binary64) (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64))) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* 1/6 (/ (pow (log (/ 1 x)) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) |
(* -1/6 (/ (pow (+ (log -1) (* -1 (log (/ -1 x)))) 3) n)) |
(*.f64 (pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 3 binary64)) (/.f64 #s(literal -1/6 binary64) n)) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
(* -1/6 (/ (pow (log x) 3) n)) |
(/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) |
Compiled 48 378 to 4 244 computations (91.2% saved)
46 alts after pruning (42 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 396 | 18 | 1 414 |
| Fresh | 7 | 24 | 31 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 407 | 46 | 1 453 |
| Status | Accuracy | Program |
|---|---|---|
| 50.2% | (/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.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 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))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) n)) | |
| ✓ | 64.3% | (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
| 48.9% | (/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) | |
| 49.7% | (/.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)) | |
| 48.5% | (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) | |
| 43.5% | (/.f64 (/.f64 #s(literal 1 binary64) x) n) | |
| 43.5% | (/.f64 (/.f64 #s(literal 1 binary64) n) x) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))) | |
| 28.7% | (/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) | |
| 44.9% | (/.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)))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) | |
| 35.4% | (/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) | |
| 12.0% | (/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) | |
| 29.0% | (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) | |
| 29.0% | (/.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)))) | |
| 26.0% | (/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) | |
| 4.1% | (/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) | |
| 6.2% | (/.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))) | |
| 4.3% | (/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) | |
| 4.3% | (/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) | |
| 2.6% | (/.f64 (*.f64 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) | |
| 7.9% | (/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) | |
| 62.6% | (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) | |
| 28.8% | (/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) | |
| 4.6% | (/.f64 x n) | |
| 42.9% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 41.0% | (/.f64 #s(literal -1 binary64) (/.f64 n (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))) | |
| 59.5% | (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 59.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 34.1% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 5.4% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) | |
| 26.0% | (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 62.0% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 62.0% | (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 43.8% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 26.4% | (-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)) | |
| 31.7% | (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))))) | |
| 39.3% | (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)) | |
| 25.8% | (*.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) | |
| 62.5% | (*.f64 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) | |
| 4.9% | (*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) | |
| 4.9% | (*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) | |
| 6.9% | (*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) | |
| 5.2% | (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) | |
| 4.6% | (*.f64 x (/.f64 #s(literal 1 binary64) n)) | |
| 5.8% | (*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) n)))) | |
| ✓ | 36.5% | #s(literal 0 binary64) |
Compiled 4 050 to 1 133 computations (72% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) 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)) |
(*.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))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.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 n #s(literal 1/6 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 (/.f64 #s(literal -1 binary64) n) (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 n (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (*.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 #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 n))) |
(*.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) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (*.f64 (-.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))) n))) (*.f64 (-.f64 #s(literal 0 binary64) n) (-.f64 #s(literal 0 binary64) n))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 3 binary64) n) #s(literal 3 binary64))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 9 binary64)))) (*.f64 (+.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 x (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64))) (pow.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal 3 binary64) n))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) n) #s(literal 3 binary64)))))) |
(/.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) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (-.f64 #s(literal 0 binary64) n)) |
(/.f64 (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 n (-.f64 (log.f64 x) (log1p.f64 x))) (*.f64 #s(literal -1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))))) (*.f64 #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 n)) (-.f64 #s(literal 0 binary64) n)) |
(/.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)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) #s(literal 2 binary64))) (*.f64 n (+.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n))))) |
(/.f64 (fma.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.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 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))) (-.f64 #s(literal 0 binary64) n))) (-.f64 #s(literal 0 binary64) 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)))) |
| Outputs |
|---|
(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)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
4 calls:
| 27.0ms | x |
| 25.0ms | n |
| 25.0ms | (/.f64 #s(literal 1 binary64) n) |
| 20.0ms | (-.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 |
|---|---|---|
| 88.0% | 2 | x |
| 87.1% | 3 | n |
| 85.9% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 87.1% | 3 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) |
(-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) |
(-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(/.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)))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(/.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 (*.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)) #s(literal 1/2 binary64)) n)))) 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 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) |
(/.f64 #s(literal -1 binary64) (/.f64 n (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (+.f64 (*.f64 n (+.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (log.f64 x) n))) (*.f64 #s(literal 1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n n)) n)) |
(fma.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (*.f64 (pow.f64 x (/.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 4 binary64))) (-.f64 #s(literal 0 binary64) (pow.f64 x (/.f64 #s(literal 1/2 binary64) n)))) (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 x (+.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)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) 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 (pow.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n))) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) n)))) (*.f64 (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 2 binary64) n)) (pow.f64 x (/.f64 #s(literal 2 binary64) n))))) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
1 calls:
| 20.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.8% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) |
(-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) |
(-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (*.f64 #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) n)))))) |
(/.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)))) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) n) |
(/.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 (*.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)) #s(literal 1/2 binary64)) n)))) 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 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))))) (pow.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 3 binary64)))) (+.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n))))))) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))))) (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 x (*.f64 (/.f64 #s(literal 1 binary64) n) (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64))) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))) n)))))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))))) |
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n)) (log.f64 x)) n)) |
| Outputs |
|---|
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
3 calls:
| 20.0ms | n |
| 19.0ms | (/.f64 #s(literal 1 binary64) n) |
| 19.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.1% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 87.1% | 3 | n |
| 85.2% | 2 | x |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) |
(-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) n) (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
2 calls:
| 37.0ms | (/.f64 #s(literal 1 binary64) n) |
| 16.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.0% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 87.0% | 3 | n |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) |
(-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 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 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.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 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x))) x) |
(/.f64 (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (*.f64 (/.f64 (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) |
(*.f64 (/.f64 #s(literal 1 binary64) x) (+.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) (/.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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))) (/.f64 x (pow.f64 x (/.f64 #s(literal 1 binary64) n)))))) |
(/.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (*.f64 n (*.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) n) (+.f64 (/.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)))))) (*.f64 n x)) x) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
3 calls:
| 28.0ms | (/.f64 #s(literal 1 binary64) n) |
| 16.0ms | x |
| 15.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.1% | 3 | x |
| 86.4% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 86.4% | 4 | n |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n (+.f64 (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (*.f64 x #s(literal 1/3 binary64)))))) (*.f64 n (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n)))))))) (*.f64 n n)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 (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) |
(-.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 (*.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.f64 x (/.f64 #s(literal 1 binary64) n))) |
(*.f64 (*.f64 x (*.f64 x x)) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x n))) (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (/.f64 (+.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1/2 binary64) n)) n)) (+.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 x n)) (/.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x (/.f64 #s(literal -1 binary64) n))) (*.f64 x (*.f64 x x)))))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 43.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 3 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) 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 (+.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)))))) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 12.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 3 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
(-.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 (*.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)) n) x) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
2 calls:
| 87.0ms | n |
| 11.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 4 | n |
| 84.7% | 3 | (/.f64 #s(literal 1 binary64) n) |
Compiled 8 to 6 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(/.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 (/.f64 #s(literal -1 binary64) n) (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
1 calls:
| 11.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.3% | 3 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
| Outputs |
|---|
(/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
3 calls:
| 104.0ms | (/.f64 #s(literal 1 binary64) n) |
| 10.0ms | n |
| 10.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.2% | 4 | x |
| 70.7% | 3 | n |
| 69.4% | 2 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) 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))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
#s(literal 0 binary64) |
3 calls:
| 24.0ms | x |
| 15.0ms | (/.f64 #s(literal 1 binary64) n) |
| 9.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.1% | 4 | x |
| 59.9% | 4 | n |
| 59.9% | 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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (-.f64 #s(literal 0 binary64) n)) |
| Outputs |
|---|
(-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
#s(literal 0 binary64) |
1 calls:
| 9.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.7% | 3 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
(*.f64 x (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) 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 (*.f64 x (*.f64 x x)) (+.f64 #s(literal 1/3 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal -1/2 binary64) x)))) n) |
(/.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 (*.f64 x n) (+.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64))))) (*.f64 n n)) |
(*.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))))) |
(/.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))) |
(-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) #s(literal 1 binary64)) |
(*.f64 (*.f64 x (*.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)))))) |
(/.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 #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))))))) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x))) (-.f64 (-.f64 #s(literal 0 binary64) (+.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 binary64) (*.f64 x n)) (/.f64 #s(literal 1/2 binary64) n))) x))) |
(*.f64 (*.f64 x (*.f64 x x)) (-.f64 (+.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) (*.f64 n (*.f64 x x))) (/.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))))) |
(/.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) x) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 1/2 binary64) n))) n) (/.f64 x (/.f64 n #s(literal -1/2 binary64))))) |
(/.f64 (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 n n))) (*.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 1/2 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 x x))))) x) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (-.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 #s(literal 1 binary64) n))))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) |
#s(literal 0 binary64) |
3 calls:
| 9.0ms | x |
| 9.0ms | (/.f64 #s(literal 1 binary64) n) |
| 9.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
| 53.9% | 3 | n |
| 56.4% | 2 | x |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
(*.f64 x (/.f64 (+.f64 n (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 n #s(literal -1/2 binary64))))) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) (*.f64 x n)) |
| Outputs |
|---|
(/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) |
#s(literal 0 binary64) |
1 calls:
| 36.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) |
#s(literal 0 binary64) |
1 calls:
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.1% | 2 | x |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)))) n)) |
(*.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 n (*.f64 x x)))) |
(/.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 x (*.f64 x x))) (*.f64 n (*.f64 n n))) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
3 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| 4.0ms | n |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 3 | n |
| 51.0% | 2 | (/.f64 #s(literal 1 binary64) n) |
| 50.8% | 2 | x |
Compiled 11 to 8 computations (27.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) n) x) |
1 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.0% | 2 | (/.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 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
#s(literal 0 binary64) |
3 calls:
| 4.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 3 | n |
| 50.5% | 2 | x |
| 50.5% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 11 to 8 computations (27.3% saved)
Total -21.2b remaining (-52.1%)
Threshold costs -21.2b (-52.1%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(*.f64 x (/.f64 #s(literal 1 binary64) n)) |
| Outputs |
|---|
#s(literal 0 binary64) |
3 calls:
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | x |
| 2.0ms | n |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.5% | 1 | n |
| 36.5% | 1 | (/.f64 #s(literal 1 binary64) n) |
| 36.5% | 1 | x |
Compiled 11 to 8 computations (27.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 52.0ms | 18718926.23465012 | 108188827.64862257 |
| 37.0ms | 27× | 2 | valid |
| 6.0ms | 35× | 1 | valid |
| 2.0ms | 34× | 0 | valid |
| 1.0ms | 13× | 0 | exit |
Compiled 354 to 229 computations (35.3% saved)
adjust: 30.0ms (69.3% of total)ival-pow: 10.0ms (23.1% of total)ival-div: 1.0ms (2.3% of total)ival-sub: 1.0ms (2.3% of total)ival-add: 1.0ms (2.3% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 53.0ms | 0.4660040534545489 | 13746673.004697157 |
| 33.0ms | 36× | 2 | valid |
| 9.0ms | 49× | 1 | valid |
| 5.0ms | 59× | 0 | valid |
| 1.0ms | 13× | 0 | exit |
Compiled 369 to 256 computations (30.6% saved)
adjust: 24.0ms (56.8% of total)ival-pow: 13.0ms (30.8% of total)ival-div: 2.0ms (4.7% of total)ival-sub: 1.0ms (2.4% of total)ival-add: 1.0ms (2.4% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 27958.195797919638 | 1266878150208.4636 |
| 54.0ms | -3.836952171609281e+19 | -4965971773.309237 |
| 93.0ms | 233× | 1 | valid |
| 33.0ms | 64× | 2 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 588 to 450 computations (23.5% saved)
ival-pow: 91.0ms (79.1% of total)ival-div: 11.0ms (9.6% of total)adjust: 6.0ms (5.2% of total)ival-add: 4.0ms (3.5% of total)ival-sub: 3.0ms (2.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 27958.195797919638 | 1266878150208.4636 |
| 58.0ms | -3.836952171609281e+19 | -4965971773.309237 |
| 52.0ms | 57× | 2 | valid |
| 41.0ms | 240× | 1 | valid |
| 1.0ms | 7× | 0 | valid |
Compiled 512 to 374 computations (27% saved)
ival-pow: 53.0ms (64% of total)ival-div: 17.0ms (20.5% of total)adjust: 6.0ms (7.2% of total)ival-add: 4.0ms (4.8% of total)ival-sub: 3.0ms (3.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
| 0.0ms | -2.0137045590446793e-10 | -2.6062352494234597e-20 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
| 0.0ms | -7.327144005865627e-83 | -6.295752577680399e-98 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
| 0.0ms | -7.327144005865627e-83 | -6.295752577680399e-98 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
| 0.0ms | -7.327144005865627e-83 | -6.295752577680399e-98 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
| 0.0ms | -7.327144005865627e-83 | -6.295752577680399e-98 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1583884862087.3699 | 1.327627540147874e+19 |
Compiled 16 to 14 computations (12.5% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 297.0ms | 0.4660040534545489 | 13746673.004697157 |
| 62.0ms | 5.543288636198047e-248 | 1.6002766274292882e-244 |
| 314.0ms | 125× | 2 | valid |
| 20.0ms | 96× | 1 | valid |
| 9.0ms | 115× | 0 | valid |
| 1.0ms | 10× | 0 | exit |
Compiled 501 to 373 computations (25.5% saved)
ival-pow: 314.0ms (94.7% of total)adjust: 5.0ms (1.5% of total)ival-div: 5.0ms (1.5% of total)ival-add: 4.0ms (1.2% of total)ival-sub: 3.0ms (0.9% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 37.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 37.0ms | 0.4660040534545489 | 13746673.004697157 |
| 49.0ms | 91× | 2 | valid |
| 8.0ms | 45× | 1 | valid |
| 7.0ms | 72× | 0 | valid |
| 1.0ms | 16× | 0 | exit |
Compiled 349 to 261 computations (25.2% saved)
ival-pow: 30.0ms (52.9% of total)ival-add: 17.0ms (30% of total)adjust: 3.0ms (5.3% of total)ival-div: 3.0ms (5.3% of total)ival-sub: 2.0ms (3.5% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 14.0ms | 35× | 2 | valid |
| 2.0ms | 24× | 0 | valid |
| 1.0ms | 5× | 1 | valid |
| 1.0ms | 8× | 0 | exit |
Compiled 106 to 81 computations (23.6% saved)
ival-pow: 9.0ms (62.7% of total)ival-add: 2.0ms (13.9% of total)ival-div: 1.0ms (7% of total)adjust: 1.0ms (7% of total)ival-sub: 1.0ms (7% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 16.0ms | 43× | 2 | valid |
| 1.0ms | 18× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
| 1.0ms | 6× | 0 | exit |
Compiled 98 to 73 computations (25.5% saved)
ival-pow: 11.0ms (69.7% of total)ival-add: 1.0ms (6.3% of total)adjust: 1.0ms (6.3% of total)ival-div: 1.0ms (6.3% of total)ival-sub: 1.0ms (6.3% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 17.0ms | 44× | 2 | valid |
| 1.0ms | 19× | 0 | valid |
| 1.0ms | 7× | 0 | exit |
| 0.0ms | 1× | 1 | valid |
Compiled 98 to 73 computations (25.5% saved)
ival-pow: 12.0ms (72.1% of total)ival-add: 1.0ms (6% of total)adjust: 1.0ms (6% of total)ival-div: 1.0ms (6% of total)ival-sub: 1.0ms (6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.397571101481086e+32 | -5.349500377235564e+28 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -3.397571101481086e+32 | -5.349500377235564e+28 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | 1.919553758437184e+167 | 2.872055117779477e+167 |
| 15.0ms | 41× | 2 | valid |
| 1.0ms | 21× | 0 | valid |
| 1.0ms | 7× | 0 | exit |
| 0.0ms | 2× | 1 | valid |
Compiled 66 to 53 computations (19.7% saved)
ival-pow: 11.0ms (72.9% of total)ival-add: 1.0ms (6.6% of total)ival-div: 1.0ms (6.6% of total)adjust: 1.0ms (6.6% of total)ival-sub: 1.0ms (6.6% of total)...in/eval/compile.rkt:110:19: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 752× | distribute-lft-neg-in_binary64 |
| 416× | neg-mul-1_binary64 |
| 392× | neg-sub0_binary64 |
| 342× | cancel-sign-sub_binary64 |
| 312× | sub-neg_binary64 |
Useful iterations: 7 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 162 | 594 |
| 1 | 236 | 594 |
| 2 | 306 | 594 |
| 3 | 386 | 592 |
| 4 | 513 | 592 |
| 5 | 770 | 592 |
| 6 | 1234 | 592 |
| 7 | 1721 | 591 |
| 8 | 2200 | 591 |
| 9 | 2412 | 591 |
| 10 | 2441 | 591 |
| 11 | 2445 | 591 |
| 12 | 2445 | 591 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 19000000 binary64)) (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)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 n #s(literal -30500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 n #s(literal 28500000000 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)))) |
(if (<=.f64 n #s(literal -34500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 n #s(literal 52000000000 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.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 -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(if (<=.f64 x #s(literal 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)))) |
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64))) |
(if (<=.f64 x #s(literal 205000000000000000058706369970259964541118933171030434536627940112228156823910839043183541725594567484441067768699490650174179037406082020966076224490999468433023696896 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)) |
(if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) n) x) x) #s(literal 0 binary64)) |
(if (<=.f64 x #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) #s(literal 0 binary64)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000000000000010732324408786944 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000000000000010732324408786944 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(if (<=.f64 x #s(literal 229999999999999987930368795571180344558210658733471435408665713332113346644868552326197704045532140537249636190798650804225274349549975111302841740292834913219095035904 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 19000000 binary64)) (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)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 x #s(literal 19000000 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 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 x) (/.f64 (+.f64 (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n)) n)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 x #s(literal 1080863910568919/2251799813685248 binary64)) (/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal -1/6 binary64)) n) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) n) (log.f64 x)) n) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x)) |
(if (<=.f64 n #s(literal -30500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 n #s(literal 28500000000 binary64)) (-.f64 (exp.f64 (*.f64 (-.f64 #s(literal 0 binary64) (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)))) |
(if (<=.f64 n #s(literal -30500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 n #s(literal 28500000000 binary64)) (-.f64 (exp.f64 (*.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)))) |
(if (<=.f64 n #s(literal -34500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (if (<=.f64 n #s(literal 52000000000 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)))) |
(if (<=.f64 n #s(literal -34500000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (if (<=.f64 n #s(literal 52000000000 binary64)) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -7737125245533627/38685626227668133590597632 binary64)) (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.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))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) 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)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.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))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (+.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (*.f64 x (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n))) n))) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.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 -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -213598703592091/4271974071841820164790043412339104229205409044713305539894083215644439451561281100045924173873152 binary64)) (/.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n) x) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 2000000000000 binary64)) (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (-.f64 #s(literal 0 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(if (<=.f64 x #s(literal 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)))) |
(if (<=.f64 x #s(literal 5195653297745273/31488807865122869393368946606905258090427358510263056881902260126273268613620094029570654385546278232018613516882486860685488436192434164121779142526563380772375266790330713043733329634453442159475340420497130656489612358376476868321800047085704593449207459741696 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64)))) |
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 x x))) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64))) |
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (-.f64 #s(literal 0 binary64) (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 205999999999999998526087872467531381337581899208696345862183996307242831782095909783741293368896212843906980961294126768052483929072615021630024750439747109159337721856 binary64)) (/.f64 (/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 1/2 binary64) x)) n) x) #s(literal 0 binary64))) |
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(if (<=.f64 x #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)) (/.f64 (/.f64 (-.f64 x (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/3 binary64) x))) (*.f64 n x)) x) #s(literal 0 binary64)) |
(if (<=.f64 x #s(literal 194999999999999989197766481828410836470971698173578103547931009817563091375729186868535654055181674823621197235519872264297657100260183940588538597920378634541662732288 binary64)) (/.f64 (/.f64 (+.f64 x (-.f64 (/.f64 #s(literal 1/3 binary64) x) #s(literal 1/2 binary64))) (*.f64 x n)) x) #s(literal 0 binary64)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000000000000010732324408786944 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -200000000000000010732324408786944 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) n) x)) |
(if (<=.f64 x #s(literal 229999999999999987930368795571180344558210658733471435408665713332113346644868552326197704045532140537249636190798650804225274349549975111302841740292834913219095035904 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x n)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 11 538× | accelerator-lowering-fma.f32 |
| 11 538× | accelerator-lowering-fma.f64 |
| 8 540× | accelerator-lowering-fma.f32 |
| 8 540× | accelerator-lowering-fma.f64 |
| 6 148× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 1 | 58 | 26 |
| 2 | 402 | 26 |
| 3 | 4324 | 26 |
| 0 | 8399 | 22 |
| 0 | 530 | 7400 |
| 1 | 1517 | 6956 |
| 2 | 4474 | 6865 |
| 0 | 8217 | 6504 |
| 0 | 70 | 513 |
| 1 | 490 | 512 |
| 2 | 6623 | 512 |
| 0 | 8062 | 464 |
| 0 | 240 | 1483 |
| 1 | 700 | 1377 |
| 2 | 1966 | 1308 |
| 3 | 6932 | 1308 |
| 0 | 8128 | 1194 |
| 0 | 1460 | 14100 |
| 1 | 4617 | 13527 |
| 0 | 8469 | 13052 |
| 0 | 1790 | 16555 |
| 1 | 5688 | 15901 |
| 0 | 8087 | 15122 |
| 0 | 67 | 568 |
| 1 | 543 | 554 |
| 2 | 6627 | 554 |
| 0 | 8472 | 487 |
| 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 1 298 to 625 computations (51.8% saved)
Compiled 1 272 to 328 computations (74.2% saved)
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