
Time bar (total: 24.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.5% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 45.2% | 43.7% | 53.1% | 0.1% | 0% | 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)
| 8.4s | 4 857× | 5 | exit |
| 1.7s | 2 769× | 2 | valid |
| 990.0ms | 2 855× | 1 | valid |
| 386.0ms | 2 290× | 1 | exit |
| 370.0ms | 2 622× | 0 | valid |
| 170.0ms | 1 499× | 0 | exit |
| 30.0ms | 89× | 2 | exit |
| 19.0ms | 8× | 4 | exit |
| 7.0ms | 7× | 3 | exit |
| 4.0ms | 10× | 3 | valid |
ival-pow: 8.9s (82.2% of total)adjust: 692.0ms (6.4% of total)ival-div: 586.0ms (5.4% of total)ival-add: 346.0ms (3.2% of total)ival-sub: 252.0ms (2.3% of total)exact: 32.0ms (0.3% of total)ival-true: 14.0ms (0.1% of total)ival-assert: 6.0ms (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 |
|---|---|---|---|---|---|
| 126 | 0 | - | 0 | - | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 33 | 26 | (1.2325747023034154e-148 -6.922398405189634e-106) | 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 | 126 | 1 |
pow.f64 | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) | sensitivity | 59 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 138 | 0 |
| - | 47 | 71 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 138 | 0 | 0 |
| - | 47 | 1 | 70 |
| number | freq |
|---|---|
| 0 | 71 |
| 1 | 185 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 97.0ms | 172× | 2 | valid |
| 61.0ms | 252× | 1 | valid |
| 7.0ms | 88× | 0 | valid |
Compiled 102 to 36 computations (64.7% saved)
ival-pow: 82.0ms (58.6% of total)ival-div: 31.0ms (22.2% of total)adjust: 14.0ms (10% of total)ival-add: 6.0ms (4.3% of total)ival-sub: 5.0ms (3.6% of total)exact: 1.0ms (0.7% 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 |
|---|---|---|
| ▶ | 50.2% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 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 | 87.7% | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 54.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 76.0ms | 86× | 2 | valid |
| 43.0ms | 126× | 1 | valid |
| 4.0ms | 44× | 0 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-pow: 94.0ms (85.7% of total)ival-div: 5.0ms (4.6% of total)adjust: 4.0ms (3.6% of total)ival-add: 3.0ms (2.7% of total)ival-sub: 3.0ms (2.7% of total)exact: 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 | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
| 1.0ms | 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)) (neg.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+.f64 (neg.f64 (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 (fma.f64 x x x) (/.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 (fma.f64 x x x) (/.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))) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
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(/.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))) (fma.f64 (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (/.f64 (*.f64 x x) (+.f64 x #s(literal -1 binary64))) (fma.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))))) (fma.f64 x (/.f64 x (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (-.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal 1 binary64)) (*.f64 x (*.f64 x x)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.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)))) (fma.f64 x (*.f64 x (*.f64 x x)) (fma.f64 x x #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 x (*.f64 x (*.f64 x x)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) (fma.f64 x x #s(literal 1 binary64))) |
(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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64)))) |
(*.f64 (neg.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)))) |
(*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x #s(literal -1 binary64))) (fma.f64 x x #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x)) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (pow.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #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 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.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 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (fma.f64 x (*.f64 (*.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))))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 x x)) (*.f64 x (*.f64 x (*.f64 x x))))) |
(*.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)) |
(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x (*.f64 x x) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.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) (fma.f64 x x x))) |
(+.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) |
(exp.f64 (neg.f64 (log.f64 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) (neg.f64 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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 (fma.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 n #s(literal 2 binary64)) #s(literal -3 binary64)) (pow.f64 (*.f64 n #s(literal 2 binary64)) #s(literal -3 binary64))) (fma.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 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 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))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x)) x) |
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2)))) x) |
(/.f64 (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) x) (+.f64 (+.f64 (/.f64 #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)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/ (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) n) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) x) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/24 (/ 1 (pow n 4))) (* 11/24 (/ 1 (pow n 2)))) (+ (* 1/4 (/ 1 n)) (* 1/4 (/ 1 (pow n 3)))))) (pow x 3)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2))))) (pow x 2))))) x) |
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (+.f64 (/.f64 (+.f64 (/.f64 #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 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* n x)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (*.f64 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 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x) |
(* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x)) |
(/.f64 (+.f64 (/.f64 (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 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) 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 (fma.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (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)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log.f64 x)))) n) |
(/ (- (+ (log (+ 1 x)) (+ (* 1/24 (/ (pow (log (+ 1 x)) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log (+ 1 x)) 3) (pow n 2))) (* 1/2 (/ (pow (log (+ 1 x)) 2) n))))) (+ (log x) (+ (* 1/24 (/ (pow (log x) 4) (pow n 3))) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n)))))) n) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n))) (log1p.f64 x)) (-.f64 (fma.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n n)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (fma.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 n n)) (log.f64 x)))) (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (*.f64 n (*.f64 n n)))))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (* 1/2 (pow (log (+ 1 x)) 2)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log.f64 x) (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x))) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (* -1/6 (pow (log (+ 1 x)) 3)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #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)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/24 (pow (log (+ 1 x)) 4)) (* 1/24 (pow (log x) 4))) n)) (* -1/6 (pow (log (+ 1 x)) 3))) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log (+ 1 x)) 2))) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (-.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 (fma.f64 #s(literal -1/24 binary64) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) n) (*.f64 #s(literal -1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) n)) n)) (neg.f64 n)) |
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)))) |
(fma.f64 x (fma.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)) #s(literal 1 binary64)) |
(+ 1 (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
(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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)))) |
(fma.f64 (+.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(+ (exp (* -1 (/ (log (/ 1 x)) n))) (+ (/ (exp (* -1 (/ (log (/ 1 x)) n))) (* n x)) (+ (/ (* (exp (* -1 (/ (log (/ 1 x)) n))) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (pow x 2)) (/ (* (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (fma.f64 (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x x)) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (+.f64 (/.f64 #s(literal 1/6 binary64) (*.f64 n (*.f64 n n))) (+.f64 (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) (*.f64 n n)))) x)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 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 (/ (+ (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 (fma.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) n)) x)) |
(+ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (+ (* -1 (/ (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) n)) (* -1 (/ (+ (* -1 (/ (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (+ (* 1/6 (/ 1 (pow n 3))) (* 1/3 (/ 1 n))))) x)) (* (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n))))) x))) x))) |
(+.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) (/.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) n)) 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))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 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)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) #s(literal 1 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 (fma.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 10 883 to 1 274 computations (88.3% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 397 | 13 | 410 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 398 | 13 | 411 |
| Status | Accuracy | Program |
|---|---|---|
| 11.1% | (fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 32.0% | (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) | |
| 51.7% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| ▶ | 72.0% | (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) |
| 18.2% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 24.5% | (/.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)))) | |
| 24.5% | (/.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))))) | |
| ▶ | 78.9% | (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) |
| 64.3% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| ▶ | 50.2% | (/.f64 #s(literal 1 binary64) (/.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))))) |
| ▶ | 18.0% | (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 30.1% | (-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ▶ | 36.2% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 968 to 370 computations (61.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) n) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) n) |
| ✓ | cost-diff | 5248 | (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) |
| ✓ | cost-diff | 7360 | (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) |
| ✓ | 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))) |
| ✓ | cost-diff | 0 | (/.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)))) |
| ✓ | cost-diff | 1408 | (/.f64 #s(literal 1 binary64) (/.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))))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.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)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 320 | (fma.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)) |
| ✓ | 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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) |
| 15 438× | accelerator-lowering-fma.f32 |
| 15 438× | accelerator-lowering-fma.f64 |
| 3 526× | *-lowering-*.f32 |
| 3 526× | *-lowering-*.f64 |
| 3 050× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 506 |
| 1 | 115 | 506 |
| 2 | 298 | 506 |
| 3 | 744 | 495 |
| 4 | 1985 | 495 |
| 5 | 6939 | 495 |
| 0 | 8020 | 429 |
| 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)) (neg 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)) |
(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 |
(neg n) |
(- 1 (pow x (/ 1 n))) |
1 |
(pow x (/ 1 n)) |
x |
(/ 1 n) |
n |
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n))) |
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) |
x |
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/ 1/2 (* n n)) |
1/2 |
(* n n) |
n |
(/ -1/2 n) |
-1/2 |
(/ 1 n) |
1 |
(pow x (/ 1 n)) |
(/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) |
1 |
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) |
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(pow (+ x 1) (/ 1 n)) |
(+ x 1) |
x |
(/ 1 n) |
n |
(pow x (/ 1 n)) |
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n) |
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) |
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) |
(/ 1/2 n) |
1/2 |
n |
(- (pow (log (+ 1 x)) 2) (pow (log x) 2)) |
(pow (log (+ 1 x)) 2) |
(log (+ 1 x)) |
x |
2 |
(pow (log x) 2) |
(log x) |
| 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)) (neg n)) |
(/.f64 (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.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 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (-.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) (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 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (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)) |
(fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (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 |
#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 |
(neg n) |
(neg.f64 n) |
(- 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 |
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n))) |
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) |
(fma.f64 x (fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) #s(literal 1 binary64)) |
x |
(+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) |
(fma.f64 (/.f64 x n) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) |
(/ 1/2 (* n n)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
1/2 |
#s(literal 1/2 binary64) |
(* n n) |
(*.f64 n n) |
n |
(/ -1/2 n) |
(/.f64 #s(literal -1/2 binary64) n) |
-1/2 |
#s(literal -1/2 binary64) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
1 |
#s(literal 1 binary64) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ 1 (/ 1 (- (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))) |
1 |
#s(literal 1 binary64) |
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) |
(/.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)))) |
(- (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 n) |
(/.f64 #s(literal 1 binary64) n) |
n |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1 binary64))) n) |
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) #s(literal 1 binary64))) |
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) |
(fma.f64 (log1p.f64 x) (fma.f64 (log1p.f64 x) (/.f64 #s(literal 1/2 binary64) n) #s(literal 1 binary64)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) n)) |
(/ 1/2 n) |
(/.f64 #s(literal 1/2 binary64) n) |
1/2 |
#s(literal 1/2 binary64) |
n |
(- (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)) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
2 |
#s(literal 2 binary64) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(log x) |
(log.f64 x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.8% | (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 99.5% | (pow.f64 (log.f64 x) #s(literal 2 binary64)) |
| ✓ | accuracy | 76.8% | (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) |
| ✓ | accuracy | 76.7% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 99.9% | (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) |
| ✓ | accuracy | 99.8% | (/.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)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.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))))) |
| ✓ | accuracy | 54.5% | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 99.9% | (fma.f64 x (fma.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)) #s(literal 1 binary64)) |
| ✓ | accuracy | 99.3% | (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
| ✓ | accuracy | 96.9% | (fma.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)) |
| ✓ | accuracy | 61.6% | (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (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 | 43.0% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 99.3% | (pow.f64 (log.f64 x) #s(literal 3 binary64)) |
| ✓ | accuracy | 76.8% | (-.f64 (log.f64 x) (log1p.f64 x)) |
| ✓ | accuracy | 76.7% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
| ✓ | accuracy | 76.7% | (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) |
| 190.0ms | 84× | 2 | valid |
| 131.0ms | 88× | 1 | valid |
| 31.0ms | 66× | 0 | exit |
| 9.0ms | 11× | 1 | exit |
| 2.0ms | 6× | 0 | valid |
| 2.0ms | 1× | 3 | valid |
Compiled 446 to 49 computations (89% saved)
ival-pow: 161.0ms (50.6% of total)ival-div: 55.0ms (17.3% of total)ival-sub: 20.0ms (6.3% of total)adjust: 19.0ms (6% of total)ival-mult: 19.0ms (6% of total)ival-add: 12.0ms (3.8% of total)ival-log: 10.0ms (3.1% of total)ival-pow2: 8.0ms (2.5% of total)ival-log1p: 6.0ms (1.9% of total)const: 5.0ms (1.6% of total)exact: 1.0ms (0.3% of total)ival-neg: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 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)) (neg 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 (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))> |
#<alt (- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n)))> |
#<alt (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1)> |
#<alt (+ (/ 1/2 (* n n)) (/ -1/2 n))> |
#<alt (/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))))> |
#<alt (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))> |
#<alt (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))> |
#<alt (pow (+ x 1) (/ 1 n))> |
#<alt (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x))> |
#<alt (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x)))> |
#<alt (/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n)> |
#<alt (/ 1/2 n)> |
#<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))> |
#<alt (pow (log x) 2)> |
#<alt (pow (log (+ 1 x)) 2)> |
| 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)> |
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#<alt (* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1))))> |
#<alt (pow (log (/ 1 x)) 2)> |
#<alt (+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2))> |
#<alt (+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))> |
#<alt (- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3)))> |
#<alt (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)> |
#<alt (+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
#<alt (+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | x | @ | 0 | (log x) |
| 11.0ms | x | @ | -inf | (log x) |
| 10.0ms | x | @ | inf | (log x) |
| 9.0ms | 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)) (neg n)) |
| 5.0ms | n | @ | 0 | (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) |
| 1× | batch-egg-rewrite |
| 3 988× | *-lowering-*.f32 |
| 3 988× | *-lowering-*.f64 |
| 3 818× | accelerator-lowering-fma.f32 |
| 3 818× | accelerator-lowering-fma.f64 |
| 3 454× | pow-lowering-pow.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 330 |
| 1 | 375 | 328 |
| 2 | 3792 | 328 |
| 0 | 8486 | 279 |
| 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)) (neg 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 (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n)) |
(- (+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) (pow x (/ 1 n))) |
(+ (* x (+ (* x (+ (/ 1/2 (* n n)) (/ -1/2 n))) (/ 1 n))) 1) |
(+ (/ 1/2 (* n n)) (/ -1/2 n)) |
(/ 1 (/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))))) |
(/ 1 (- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n)))) |
(- (pow (+ x 1) (/ 1 n)) (pow x (/ 1 n))) |
(pow (+ x 1) (/ 1 n)) |
(- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) |
(+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) |
(/ (- (+ (* (/ 1/2 n) (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (log (+ 1 x))) (log x)) n) |
(/ 1/2 n) |
(- (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)) |
(pow (log x) 2) |
(pow (log (+ 1 x)) 2) |
| Outputs |
|---|
(+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (neg.f64 (/.f64 (fma.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 n (neg.f64 n))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.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 n (neg.f64 n)))) |
(-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (+.f64 (log1p.f64 x) (/.f64 (fma.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)) (neg.f64 n))) |
(fma.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (fma.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 n (neg.f64 n))))) |
(neg.f64 (/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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 #s(literal 1 binary64) (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n))) #s(literal 1 binary64))) |
(/.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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)) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 n (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.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 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.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 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (*.f64 (neg.f64 n) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.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 (neg.f64 n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)))) |
(/.f64 (-.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 (fma.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 (neg.f64 n) (neg.f64 n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))) (neg.f64 n))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.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))) #s(literal 1 binary64)) (*.f64 (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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)) (neg.f64 n))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64))))) (/.f64 (fma.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))) (neg.f64 n)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.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 n (neg.f64 n))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.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 n (neg.f64 n))) #s(literal 2 binary64)) (*.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.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 n (neg.f64 n))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.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 n (neg.f64 n))) #s(literal 2 binary64))) (+.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (neg.f64 n)) (/.f64 (fma.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 n (neg.f64 n))))) |
(/.f64 (*.f64 (-.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n)) #s(literal 1 binary64)) (neg.f64 n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) n)) (fma.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1/6 binary64) n))) n) (+.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) (/.f64 (fma.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)) (pow.f64 (log.f64 (/.f64 x (+.f64 x #s(literal 1 binary64)))) #s(literal 2 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 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(*.f64 (fma.f64 (log.f64 x) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(*.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)))) |
(+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(+.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 6 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(fma.f64 (log.f64 x) (neg.f64 (log.f64 x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(fma.f64 (log1p.f64 x) (log1p.f64 x) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 #s(literal -1 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(fma.f64 (neg.f64 (log.f64 x)) (log.f64 x) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))))) |
(/.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 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (-.f64 (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) (neg.f64 (+.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 4 binary64)) (pow.f64 (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 6 binary64)) (pow.f64 (log.f64 x) #s(literal 6 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64)))) #s(literal -1 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 4 binary64)) (+.f64 (pow.f64 (log.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (log.f64 x) (log1p.f64 x)) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 4 binary64)) (pow.f64 (log.f64 x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))))) |
(*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) |
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 3/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (fma.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64) (*.f64 (log.f64 (log.f64 x)) #s(literal 3/2 binary64)))) |
(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 binary64)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 (log.f64 x))) |
(*.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))) |
(*.f64 (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (log.f64 x)) #s(literal 3 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 n n))) |
(/.f64 #s(literal 1 binary64) (*.f64 (*.f64 n n) #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1/2 binary64) n))) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 n (neg.f64 n)))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 n (neg.f64 n))) |
(/.f64 (/.f64 #s(literal -1/2 binary64) n) (neg.f64 n)) |
(/.f64 (/.f64 #s(literal 1/2 binary64) n) n) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)))) |
(pow.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 n n) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 n (/.f64 #s(literal 1/2 binary64) n)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (*.f64 n #s(literal 2 binary64)) n) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 n n))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n))) |
(*.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/2 binary64) n)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n (neg.f64 n)))) |
(*.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log.f64 x))) |
(*.f64 (log.f64 x) (log.f64 x)) |
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 x)))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (log1p.f64 x))) #s(literal 1 binary64))) |
(pow.f64 (log1p.f64 x) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (log1p.f64 x))) |
(*.f64 (log1p.f64 x) (log1p.f64 x)) |
| 1× | egg-herbie |
| 6 394× | accelerator-lowering-fma.f32 |
| 6 394× | accelerator-lowering-fma.f64 |
| 5 298× | *-lowering-*.f32 |
| 5 298× | *-lowering-*.f64 |
| 4 944× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1456 | 13930 |
| 1 | 4680 | 13235 |
| 0 | 9051 | 12215 |
| 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)) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (/ 1 n)))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))))) x) |
(/ (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (- (* 1/4 (/ 1 n)) (+ (* 1/6 (/ (- (+ (* -4/3 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 11/12 (* 1/2 (log (/ 1 x))))) (pow n 2))) (+ (* -1/2 (/ (+ 1 (log (/ 1 x))) (pow n 2))) (* -1/4 (/ (pow (log (/ 1 x)) 2) (pow n 2)))))) (/ 1 (pow n 2))) n)) (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) n)))) (pow x 3))) (+ (* -1 (/ (- (* 1/2 (/ 1 n)) (+ (* 1/6 (/ (+ (* -2 (/ (log (/ 1 x)) (pow n 2))) (+ (* -1 (/ (* (log (/ 1 x)) (+ 1 (log (/ 1 x)))) (pow n 2))) (* -1/2 (/ (pow (log (/ 1 x)) 2) (pow n 2))))) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) n)))) x)) (+ (* 1/6 (/ (+ (* -1 (/ (* (log (/ 1 x)) (- (* -2/3 (log (/ 1 x))) 1)) (pow n 2))) (+ (* 1/3 (/ (pow (log (/ 1 x)) 2) (pow n 2))) (+ (* 2 (/ (log (/ 1 x)) (pow n 2))) (/ 1 (pow n 2))))) (* n (pow x 2)))) (+ (* 1/6 (/ (+ (* 2 (pow (log (/ 1 x)) 2)) (pow (log (/ 1 x)) 2)) (pow n 3))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))))) x) |
(/ (- 1 (+ (* -1 (/ (+ (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)) |
(* -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)) |
(* -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)) |
(* -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)) |
(* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 3))) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* 1/2 (* n (- (pow (log (+ 1 x)) 2) (pow (log x) 2))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3)) |
(/ (+ (* 1/6 (- (pow (log (+ 1 x)) 3) (pow (log x) 3))) (* n (+ (* -1 (* n (- (log x) (log (+ 1 x))))) (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2)))))) (pow n 3)) |
(* -1 (/ (- (log x) (log (+ 1 x))) n)) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n) |
(/ (+ (* -1 (- (log x) (log (+ 1 x)))) (+ (* 1/6 (/ (- (pow (log (+ 1 x)) 3) (pow (log x) 3)) (pow n 2))) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)))) n) |
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(+ (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))) |
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) n) |
(- (log (+ 1 x)) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (log (+ 1 x)) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) |
(- (* -1/2 (/ (pow (log x) 2) n)) (log x)) |
(- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) (log x)) |
(- (+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) (log x)) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2)))))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (+ (* -1 (/ (log (/ 1 x)) n)) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (pow x 3))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) x)) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 2))) (/ 1/3 (pow x 2))))))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n)))) 1/4) x)) (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x)) |
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n)) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (log (+ 1 x)))) n) |
(log (+ 1 x)) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(log (+ 1 x)) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) |
(* -1/2 (/ (pow (log x) 2) n)) |
(+ x (* -1/2 (/ (pow (log x) 2) n))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (* 1/2 (/ 1 n)) 1/2))))) |
(+ (* -1/2 (/ (pow (log x) 2) n)) (* x (+ 1 (* x (- (+ (* 1/2 (/ 1 n)) (* x (- 1/3 (* 1/2 (/ 1 n))))) 1/2))))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (/ 1 x))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (/ 1 x)))) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (* -1 (/ (log (/ 1 x)) (* n x))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (pow x 2))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (pow x 3))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3)))))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/2) x))) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n))) 1/3) x)) (* 1/2 (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)))) 1/2) x))) 1) x)))) |
(* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) (pow n 2))) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (+ (* 1/2 (- (pow (log (+ 1 x)) 2) (pow (log x) 2))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(* -1 (/ (+ (* -1 (- (log (+ 1 x)) (log x))) (* -1/2 (/ (- (pow (log (+ 1 x)) 2) (pow (log x) 2)) n))) n)) |
(/ (- (* -1/2 (/ (pow (log x) 2) n)) (log x)) n) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (/ x n)) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (* 1/2 (/ 1 (pow n 2))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* x (- (+ (* 1/2 (/ 1 (pow n 2))) (* x (- (* 1/3 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (* 1/2 (/ 1 n)))) (/ 1 n)))) (/ (log x) n)) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x) |
(* -1 (/ (- (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x)) |
(* -1 (/ (- (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) (pow n 2))) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* -1/2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* -2/3 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) (/ 1 n)) n))) (* 1/2 (/ 1 n))) x))) (/ 1 n)) x)) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 n) |
(/ 1/2 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 (pow (log x) 2)) |
(- (pow x 2) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(* -2 (/ (log (/ 1 x)) x)) |
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x)) |
(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) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(/ 1/2 (pow n 2)) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log x) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (log (/ 1 x)) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow x 2) |
(* (pow x 2) (+ 1 (* -1 x))) |
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1)))) |
(pow (log (/ 1 x)) 2) |
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2)) |
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2)))) |
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3))) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
| Outputs |
|---|
(* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (/.f64 (*.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 1/6 binary64)) (*.f64 n n))) (neg.f64 n)) |
(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (/ x n)) |
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(+ (* -1 (/ (- (log x) (+ (* -1/2 (/ (pow (log x) 2) n)) (* -1/6 (/ (pow (log x) 3) (pow n 2))))) n)) (* x (+ (* -1 (* x (- (* 1/2 (/ 1 n)) (* 1/2 (/ 1 (pow n 2)))))) (/ 1 n)))) |
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(* -1 (pow (log x) 2)) |
(neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (pow x 2) (pow (log x) 2)) |
(-.f64 (*.f64 x x) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (* (pow x 2) (+ 1 (* -1 x))) (pow (log x) 2)) |
(-.f64 (*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(- (* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) (pow (log x) 2)) |
(fma.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(* -2 (/ (log (/ 1 x)) x)) |
(/.f64 (neg.f64 (*.f64 (log.f64 x) #s(literal -2 binary64))) x) |
(/ (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (/ (log (/ 1 x)) x))) x) |
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (/ 1 x) (/ (log (/ 1 x)) x)))) (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x)))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(/ (- (+ (* -2 (log (/ 1 x))) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 2))) (+ (* 1/2 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 x) (+ (* 11/12 (/ 1 (pow x 3))) (/ (log (/ 1 x)) x)))))) (/ 1 (pow x 2))) x) |
(/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)) (+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) x)) (+.f64 (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 #s(literal 11/12 binary64) (*.f64 x (*.f64 x x))))))) (/.f64 #s(literal -1 binary64) (*.f64 x x))) x) |
(* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) (neg.f64 x)) |
(* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (/ (+ 11/12 (* -1/2 (+ (log -1) (* -1 (log (/ -1 x)))))) x)) (* -2/3 (+ (log -1) (* -1 (log (/ -1 x))))))) x)))) x))) x)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 11/12 binary64)) x))) x)) x)) (neg.f64 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)) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(pow.f64 (log.f64 x) #s(literal 3 binary64)) |
(* -1 (pow (log (/ 1 x)) 3)) |
(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)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(/ 1/2 (pow n 2)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 n n)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log x) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (* -1 x))) |
(*.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)) |
(* (pow x 2) (+ 1 (* x (- (* 11/12 x) 1)))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x #s(literal 11/12 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* (pow x 2) (+ 1 (* x (- (* x (+ 11/12 (* -5/6 x))) 1)))) |
(*.f64 (*.f64 x x) (fma.f64 x (fma.f64 x (fma.f64 x #s(literal -5/6 binary64) #s(literal 11/12 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(pow (log (/ 1 x)) 2) |
(pow.f64 (log.f64 x) #s(literal 2 binary64)) |
(+ (* -2 (/ (log (/ 1 x)) x)) (pow (log (/ 1 x)) 2)) |
(fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+ (* -2 (/ (log (/ 1 x)) x)) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2)))) |
(+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x)))) |
(- (+ (* -2 (/ (log (/ 1 x)) x)) (+ (* -2/3 (/ (log (/ 1 x)) (pow x 3))) (+ (/ 1 (pow x 2)) (+ (/ (log (/ 1 x)) (pow x 2)) (pow (log (/ 1 x)) 2))))) (/ 1 (pow x 3))) |
(+.f64 (fma.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (log.f64 x) x)) (+.f64 (fma.f64 #s(literal -2/3 binary64) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 x x))) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 x x))))) (/.f64 #s(literal -1 binary64) (*.f64 x (*.f64 x x)))) |
(pow (+ (log -1) (* -1 (log (/ -1 x)))) 2) |
(pow.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 2 binary64)) |
(+ (* 2 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(fma.f64 #s(literal 2 binary64) (/.f64 (-.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))) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -1 (+ (log -1) (* -1 (log (/ -1 x)))))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(-.f64 (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 -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) x)) x)) |
(+ (* -1 (/ (+ (* -2 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (+ (* -1 (+ (log -1) (* -1 (log (/ -1 x))))) (* -1 (/ (+ 1 (* -2/3 (+ (log -1) (* -1 (log (/ -1 x)))))) x)))) x))) x)) (pow (+ (log -1) (* -1 (log (/ -1 x)))) 2)) |
(-.f64 (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 -2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x)))) (/.f64 (fma.f64 #s(literal -2/3 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) #s(literal 1 binary64)) x)) x)) x)) |
Compiled 54 641 to 4 834 computations (91.2% saved)
31 alts after pruning (30 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 542 | 26 | 1 568 |
| Fresh | 4 | 4 | 8 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 550 | 31 | 1 581 |
| Status | Accuracy | Program |
|---|---|---|
| 17.1% | (fma.f64 (fma.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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 32.0% | (/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) | |
| ▶ | 38.7% | (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
| 6.5% | (/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) | |
| 24.0% | (/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) | |
| 46.9% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) | |
| 51.7% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| 45.9% | (/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) | |
| 37.8% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n) | |
| 32.3% | (/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n) | |
| 46.8% | (/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n) | |
| 18.2% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 53.3% | (/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n)) | |
| ▶ | 32.7% | (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
| ▶ | 64.3% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 24.5% | (/.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)))) | |
| 53.8% | (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) | |
| 9.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) | |
| ▶ | 64.3% | (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 36.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) | |
| 38.7% | (/.f64 #s(literal 1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))))))) | |
| 9.4% | (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 30.1% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| 10.2% | (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 36.2% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ▶ | 29.3% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| 56.7% | (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) | |
| 58.0% | (*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) | |
| 6.8% | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) | |
| 7.1% | (*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) | |
| 39.4% | (neg.f64 (/.f64 (log.f64 x) n)) |
Compiled 1 689 to 784 computations (53.6% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 128 | (*.f64 x (+.f64 x #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| ✓ | cost-diff | 320 | (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) |
| ✓ | cost-diff | 704 | (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (log1p.f64 x) |
| ✓ | cost-diff | 0 | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 7 434× | accelerator-lowering-fma.f32 |
| 7 434× | accelerator-lowering-fma.f64 |
| 3 936× | *-lowering-*.f32 |
| 3 936× | *-lowering-*.f64 |
| 1 474× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 262 |
| 1 | 81 | 258 |
| 2 | 173 | 256 |
| 3 | 426 | 253 |
| 4 | 855 | 249 |
| 5 | 2099 | 249 |
| 6 | 5813 | 249 |
| 0 | 8045 | 198 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (log (+ 1 x)) (log x)) n) |
(- (log (+ 1 x)) (log x)) |
(log (+ 1 x)) |
x |
(log x) |
n |
(- 1 1) |
1 |
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n)) |
(+ (* x (+ (* x 1/2) -1)) (log x)) |
x |
(+ (* x 1/2) -1) |
1/2 |
-1 |
(log x) |
(neg n) |
n |
(/ 1 (/ n (- (log (+ 1 x)) (log x)))) |
1 |
(/ n (- (log (+ 1 x)) (log x))) |
n |
(- (log (+ 1 x)) (log x)) |
(log (+ 1 x)) |
x |
(log x) |
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n)) |
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) |
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) |
(+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) |
(* (log (* x (+ x 1))) (log (/ (+ x 1) x))) |
(log (* x (+ x 1))) |
(* x (+ x 1)) |
x |
(+ x 1) |
1 |
(log (/ (+ x 1) x)) |
(/ (+ x 1) x) |
(/ 1/2 n) |
1/2 |
n |
(log (+ 1 x)) |
(* n (log x)) |
(log x) |
(* n n) |
| Outputs |
|---|
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(- (log (+ 1 x)) (log x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(log x) |
(log.f64 x) |
n |
(- 1 1) |
#s(literal 0 binary64) |
1 |
#s(literal 1 binary64) |
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n)) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(+ (* x (+ (* x 1/2) -1)) (log x)) |
(fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) |
x |
(+ (* x 1/2) -1) |
(fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
-1 |
#s(literal -1 binary64) |
(log x) |
(log.f64 x) |
(neg n) |
(neg.f64 n) |
n |
(/ 1 (/ n (- (log (+ 1 x)) (log x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
1 |
#s(literal 1 binary64) |
(/ n (- (log (+ 1 x)) (log x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
n |
(- (log (+ 1 x)) (log x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log (+ 1 x)) |
(log1p.f64 x) |
x |
(log x) |
(log.f64 x) |
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n)) |
(/.f64 (fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))))) (*.f64 n n)) |
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) |
(fma.f64 n (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))))) |
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) (*.f64 n (log1p.f64 x))) |
(+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) |
(fma.f64 (log.f64 (fma.f64 x x x)) (*.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1/2 binary64) n)) (log1p.f64 x)) |
(* (log (* x (+ x 1))) (log (/ (+ x 1) x))) |
(*.f64 (log.f64 (fma.f64 x x x)) (log1p.f64 (/.f64 #s(literal 1 binary64) x))) |
(log (* x (+ x 1))) |
(log.f64 (fma.f64 x x x)) |
(* x (+ x 1)) |
(fma.f64 x x x) |
x |
(+ x 1) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(log (/ (+ x 1) x)) |
(log1p.f64 (/.f64 #s(literal 1 binary64) x)) |
(/ (+ x 1) x) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(/ 1/2 n) |
(/.f64 #s(literal 1/2 binary64) n) |
1/2 |
#s(literal 1/2 binary64) |
n |
(log (+ 1 x)) |
(log1p.f64 x) |
(* n (log x)) |
(*.f64 (log.f64 x) n) |
(log x) |
(log.f64 x) |
(* n n) |
(*.f64 n n) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 83.7% | (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) |
| ✓ | accuracy | 76.0% | (/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
| ✓ | accuracy | 72.2% | (-.f64 (*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) |
| ✓ | accuracy | 64.6% | (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
| ✓ | accuracy | 99.7% | (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | accuracy | 64.6% | (-.f64 (log1p.f64 x) (log.f64 x)) |
| ✓ | accuracy | 100.0% | (neg.f64 n) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 100.0% | (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) |
| ✓ | accuracy | 94.2% | (/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (log1p.f64 x) |
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.6% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | accuracy | 64.6% | (-.f64 (log1p.f64 x) (log.f64 x)) |
| 82.0ms | 93× | 2 | valid |
| 49.0ms | 160× | 0 | valid |
| 1.0ms | 3× | 1 | valid |
Compiled 235 to 34 computations (85.5% saved)
ival-log: 34.0ms (33.7% of total)ival-div: 17.0ms (16.8% of total)ival-mult: 17.0ms (16.8% of total)adjust: 8.0ms (7.9% of total)ival-sub: 8.0ms (7.9% of total)ival-log1p: 7.0ms (6.9% of total)ival-add: 7.0ms (6.9% of total)ival-neg: 1.0ms (1% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (- (log (+ 1 x)) (log x))> |
#<alt (log (+ 1 x))> |
#<alt (log x)> |
#<alt (- 1 1)> |
#<alt (/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n))> |
#<alt (+ (* x (+ (* x 1/2) -1)) (log x))> |
#<alt (+ (* x 1/2) -1)> |
#<alt (/ 1 (/ n (- (log (+ 1 x)) (log x))))> |
#<alt (/ n (- (log (+ 1 x)) (log x)))> |
#<alt (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n)> |
#<alt (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x)))> |
#<alt (log (/ (+ x 1) x))> |
#<alt (* x (+ x 1))> |
#<alt (neg n)> |
#<alt (/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n))> |
#<alt (log (* x (+ x 1)))> |
| Outputs |
|---|
#<alt (* -1 (/ (log x) n))> |
#<alt (+ (* -1 (/ (log x) n)) (/ x n))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))> |
#<alt (/ 1 (* n x))> |
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)> |
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)> |
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)> |
#<alt (/ 1 (* n x))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (* -1 (log x))> |
#<alt (- x (log x))> |
#<alt (- (* x (+ 1 (* -1/2 x))) (log x))> |
#<alt (- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x))> |
#<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 x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
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#<alt (* n x)> |
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#<alt (+ (* -1 (* n (log (/ 1 x)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 3)) (+ (/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (pow x 2)))))> |
#<alt (* n (+ (log -1) (* -1 (log (/ -1 x)))))> |
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#<alt (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))> |
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#<alt (/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2)) (+ (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) (pow x 3)) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x)))) x)> |
#<alt (* -1 (/ (* n (- (/ (log (/ -1 x)) n) 1)) x))> |
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#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) x)) (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3))) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x))> |
#<alt (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))))> |
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#<alt (* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)))> |
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#<alt (* -1 (log x))> |
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#<alt (+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))> |
#<alt (/ 1 x)> |
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#<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 x> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (* x (+ 1 x))> |
#<alt (pow x 2)> |
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#<alt (pow x 2)> |
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#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* (pow x 2) (+ 1 (/ 1 x)))> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (* -1 n)> |
#<alt (/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2))> |
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#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))> |
#<alt (- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (+ (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n))> |
#<alt (/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x))> |
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#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x)> |
#<alt (/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x)> |
#<alt (* -1 (/ (- (/ (log (/ -1 x)) n) 1) (* n x)))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n)) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x))> |
#<alt (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow n 2)))> |
#<alt (/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2))> |
#<alt (/ (- (log (+ 1 x)) (log x)) n)> |
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)> |
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)> |
#<alt (/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n)> |
#<alt (* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n))> |
#<alt (log x)> |
#<alt (+ x (log x))> |
#<alt (+ (log x) (* x (+ 1 (* -1/2 x))))> |
#<alt (+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2)))))> |
#<alt (* -2 (log (/ 1 x)))> |
#<alt (+ (* -2 (log (/ 1 x))) (/ 1 x))> |
#<alt (- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2)))> |
#<alt (- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2)))> |
#<alt (* -2 (log (/ -1 x)))> |
#<alt (+ (* -2 (log (/ -1 x))) (/ 1 x))> |
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))> |
#<alt (+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))> |
69 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 71.0ms | n | @ | 0 | (/ (- (log (+ 1 x)) (log x)) n) |
| 14.0ms | n | @ | 0 | (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) |
| 12.0ms | n | @ | inf | (/ (- (log (+ 1 x)) (log x)) n) |
| 1.0ms | n | @ | 0 | (/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n)) |
| 1.0ms | x | @ | 0 | (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) |
| 1× | batch-egg-rewrite |
| 4 974× | /-lowering-/.f32 |
| 4 974× | /-lowering-/.f64 |
| 4 046× | *-lowering-*.f32 |
| 4 046× | *-lowering-*.f64 |
| 3 374× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 170 |
| 1 | 206 | 160 |
| 2 | 1712 | 160 |
| 0 | 8164 | 131 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (log (+ 1 x)) (log x)) n) |
(- (log (+ 1 x)) (log x)) |
(log (+ 1 x)) |
(log x) |
(- 1 1) |
(/ (+ (* x (+ (* x 1/2) -1)) (log x)) (neg n)) |
(+ (* x (+ (* x 1/2) -1)) (log x)) |
(+ (* x 1/2) -1) |
(/ 1 (/ n (- (log (+ 1 x)) (log x)))) |
(/ n (- (log (+ 1 x)) (log x))) |
(* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) |
(- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) |
(log (/ (+ x 1) x)) |
(* x (+ x 1)) |
(neg n) |
(/ (- (* (+ (* (* (log (* x (+ x 1))) (log (/ (+ x 1) x))) (/ 1/2 n)) (log (+ 1 x))) n) (* n (log x))) (* n n)) |
(log (* x (+ x 1))) |
| Outputs |
|---|
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) n) (/.f64 (log.f64 (neg.f64 x)) n)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) n)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))) n) (/.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (fma.f64 x x x))) n)) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) (/.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (fma.f64 x x x)))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (log.f64 (fma.f64 x x x))))) |
(-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (*.f64 n n)) (/.f64 (*.f64 (log.f64 x) n) (*.f64 n n))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (/.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) |
(-.f64 (/.f64 (/.f64 (log1p.f64 x) n) #s(literal 1 binary64)) (/.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (log1p.f64 x) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(fma.f64 (log1p.f64 x) (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(fma.f64 (/.f64 #s(literal 1 binary64) n) (log1p.f64 x) (*.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 (log.f64 x)))) |
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(fma.f64 (neg.f64 (log1p.f64 x)) (/.f64 #s(literal -1 binary64) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (log.f64 (fma.f64 x x x))) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n n) (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 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 #s(literal 1 binary64) (/.f64 (*.f64 n (log.f64 (fma.f64 x x x))) (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.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))) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (/.f64 n (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (neg.f64 n)) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(/.f64 (/.f64 #s(literal -1 binary64) n) (neg.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))))) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n)) (*.f64 n n)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n)) |
(/.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64)) (*.f64 (log.f64 (fma.f64 x x x)) n)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (*.f64 n (log.f64 (fma.f64 x x x)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (neg.f64 (*.f64 n (log.f64 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64))) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (log.f64 (fma.f64 x x x))) |
(/.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (neg.f64 n)) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) |
(/.f64 (-.f64 (neg.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 n (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) #s(literal 1 binary64))) (*.f64 (/.f64 n (log1p.f64 x)) (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 n (*.f64 (/.f64 n (log1p.f64 x)) (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) n)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 n)) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 (log.f64 x) (neg.f64 n))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (/.f64 n (log.f64 x))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) n) (*.f64 (log.f64 x) (neg.f64 n))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (*.f64 (neg.f64 n) (neg.f64 (log.f64 x)))) (*.f64 n n)) |
(/.f64 (neg.f64 (-.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log.f64 x) n))) (*.f64 n (neg.f64 n))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) n))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) #s(literal 1 binary64))) (neg.f64 (*.f64 (log.f64 (fma.f64 x x x)) n))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (*.f64 n (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) (neg.f64 (*.f64 n (log.f64 (fma.f64 x x x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 3 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)) (*.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) #s(literal 2 binary64)) (pow.f64 (/.f64 (log.f64 x) n) #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) (neg.f64 (log.f64 (fma.f64 x x x)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) n) |
(/.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) n)) (neg.f64 (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
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(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (/.f64 n (*.f64 n n))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (log.f64 x) n) (*.f64 n n)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (/.f64 n (*.f64 n n)) (/.f64 (*.f64 (log.f64 x) n) (*.f64 n n))))) |
(*.f64 (*.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 3 binary64))) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))) |
(*.f64 (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) n) (neg.f64 n))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 3 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 3 binary64))) n) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)))) n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 2 binary64))) n) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) n)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 (log.f64 x) n) #s(literal 2 binary64))) n) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64))) (*.f64 n n)) (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (fma.f64 (*.f64 (log.f64 x) n) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (pow.f64 (*.f64 n (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x))) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (*.f64 n n)) (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) (*.f64 n (+.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))))) |
(*.f64 (/.f64 (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 n n))) |
(log.f64 (fma.f64 x x x)) |
(+.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (log.f64 x) (log1p.f64 x)) |
(-.f64 (log.f64 (fma.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x)))) (log.f64 (fma.f64 (*.f64 x x) (*.f64 x x) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x x)))))) |
(-.f64 (log.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x))) (log.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log.f64 (*.f64 x (fma.f64 x (*.f64 x x) #s(literal 1 binary64)))) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (log.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (*.f64 x (fma.f64 x x #s(literal -1 binary64)))) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (log1p.f64 (-.f64 (*.f64 x x) x))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x x) #s(literal 1 binary64)) x)) (log.f64 (-.f64 (fma.f64 x x #s(literal 1 binary64)) x))) |
(-.f64 (log.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) x)) (log1p.f64 (neg.f64 x))) |
(-.f64 (log.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) x)) (log.f64 (+.f64 x #s(literal -1 binary64)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(-.f64 (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) (/.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))) (+.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 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(/.f64 (neg.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 3 binary64)) (pow.f64 (log1p.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) |
(*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))) |
(*.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.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 (log.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (*.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (-.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
(*.f64 (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x)))) (/.f64 (log.f64 (fma.f64 x x x)) (/.f64 #s(literal 1 binary64) (log.f64 (fma.f64 x x x))))) |
(*.f64 (/.f64 (log.f64 (fma.f64 x x x)) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (log.f64 x) (log.f64 (fma.f64 x x x)) (pow.f64 (log1p.f64 x) #s(literal 2 binary64)))))) |
| 1× | egg-herbie |
| 8 270× | accelerator-lowering-fma.f32 |
| 8 270× | accelerator-lowering-fma.f64 |
| 4 388× | *-lowering-*.f32 |
| 4 388× | *-lowering-*.f64 |
| 3 572× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 563 | 4399 |
| 1 | 1807 | 3984 |
| 2 | 5378 | 3875 |
| 0 | 8397 | 3526 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 (* n x)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(* -1 (log x)) |
(- x (log x)) |
(- (* x (+ 1 (* -1/2 x))) (log x)) |
(- (* x (+ 1 (* x (- (* 1/3 x) 1/2)))) (log x)) |
(/ 1 x) |
(/ (- 1 (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (* 1/2 (/ 1 x))) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/ 1 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)) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* x (- (* 1/3 x) 1/2)))) |
(* x (+ 1 (* x (- (* x (+ 1/3 (* -1/4 x))) 1/2)))) |
(* -1 (log (/ 1 x))) |
(+ (* -1 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -1 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -1 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (/ 1 x))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x)))) |
(+ (log -1) (+ (* -1 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(* -1/2 (/ (pow x 2) n)) |
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (+ (/ 1 (* n x)) (/ (log (/ 1 x)) (* n (pow x 2)))) (* 1/2 (/ 1 n)))) |
(* -1/2 (/ (pow x 2) n)) |
(* (pow x 2) (- (/ 1 (* n x)) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n)))) |
(* (pow x 2) (- (* -1 (/ (- (+ (* -1 (/ (log (/ -1 x)) (* n x))) (/ (log -1) (* n x))) (/ 1 n)) x)) (* 1/2 (/ 1 n)))) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(* -1 (/ (+ (log x) (* x (- (* 1/2 x) 1))) n)) |
(log x) |
(+ (log x) (* -1 x)) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(+ (log x) (* x (- (* 1/2 x) 1))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x))) |
(* (pow x 2) (- (+ 1/2 (* -1 (/ (log (/ 1 x)) (pow x 2)))) (/ 1 x))) |
(* 1/2 (pow x 2)) |
(* (pow x 2) (- 1/2 (/ 1 x))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x)))) |
(* (pow x 2) (+ 1/2 (* -1 (/ (+ 1 (* -1 (/ (+ (log -1) (* -1 (log (/ -1 x)))) x))) x)))) |
-1 |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(- (* 1/2 x) 1) |
(* 1/2 x) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* x (- 1/2 (/ 1 x))) |
(* 1/2 x) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(* -1 (* x (- (/ 1 x) 1/2))) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (log (+ 1 x)) (log x)) n) |
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 (* n x)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(/ n (- (log (+ 1 x)) (log x))) |
(* -1 (/ n (log x))) |
(+ (* -1 (/ n (log x))) (* -1 (/ (* n x) (pow (log x) 2)))) |
(+ (* -1 (/ n (log x))) (* x (- (* -1 (* x (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2))))) |
(+ (* -1 (/ n (log x))) (* x (- (* x (- (* -1 (* x (+ (* -1 (/ n (pow (log x) 3))) (+ (* 1/3 (/ n (pow (log x) 2))) (/ n (pow (log x) 4)))))) (+ (* -1/2 (/ n (pow (log x) 2))) (/ n (pow (log x) 3))))) (/ n (pow (log x) 2))))) |
(* n x) |
(* x (+ n (* 1/2 (/ n x)))) |
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (* 1/3 n)) (pow x 2)))) (* -1/2 (/ n x)))) |
(* x (- (+ n (* -1 (/ (+ (* -1/4 n) (+ (* 1/6 n) (* 1/2 (+ (* -1/4 n) (* 1/3 n))))) (pow x 3)))) (+ (* -1/2 (/ n x)) (+ (* -1/4 (/ n (pow x 2))) (* 1/3 (/ n (pow x 2))))))) |
(* n x) |
(* -1 (* x (+ (* -1 n) (* -1/2 (/ n x))))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (+ (* -1/3 (/ n x)) (* 1/4 (/ n x))) (* -1/2 n)) x))))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (+ (* -1/3 n) (* 1/4 n)) x)) (+ (* -1/4 (/ n x)) (* 1/6 (/ n x)))) (+ (* -1/3 n) (* 1/4 n))) x)) (* -1/2 n)) x))))) |
(* -1/2 (pow (log x) 2)) |
(+ (* -1/2 (pow (log x) 2)) (* n (* x (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) |
(+ (* -1/2 (pow (log x) 2)) (* x (+ (* n (* x (- (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))) 1/2))) (* n (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n)))))))) |
(+ (* -1/2 (pow (log x) 2)) (* x (+ (* n (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))) (* x (+ (* n (* x (+ 1/3 (* 1/2 (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)))))) (* n (- (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))) 1/2))))))) |
(* -1 (* n (log (/ 1 x)))) |
(+ (* -1 (* n (log (/ 1 x)))) (/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x)) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (pow x 2)))) |
(+ (* -1 (* n (log (/ 1 x)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 3)) (+ (/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) (pow x 2))))) |
(* n (+ (log -1) (* -1 (log (/ -1 x))))) |
(+ (* -1 (/ (* n (- (/ (log (/ -1 x)) n) 1)) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2)) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3)) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) (* n (+ (log -1) (* -1 (log (/ -1 x)))))) |
(* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (log (+ 1 x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (log (+ 1 x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (log (+ 1 x)))) |
(* n (log (+ 1 x))) |
(* n (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) |
(* n (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) |
(* n (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n)))) |
(* n (log (+ 1 x))) |
(* -1 (* n (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))))) |
(* -1 (* n (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))))) |
(* -1 (* n (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))))) |
(- (* -1/2 (pow (log x) 2)) (* n (log x))) |
(- (+ (* -1/2 (pow (log x) 2)) (* n (* x (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))))) (* n (log x))) |
(- (+ (* -1/2 (pow (log x) 2)) (* x (+ (* n (* x (- (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))) 1/2))) (* n (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n)))))))) (* n (log x))) |
(- (+ (* -1/2 (pow (log x) 2)) (* x (+ (* n (+ 1 (* 1/2 (+ (* -1 (/ (log x) n)) (/ (log x) n))))) (* x (+ (* n (* x (+ 1/3 (* 1/2 (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)))))) (* n (- (* 1/2 (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n)))) 1/2))))))) (* n (log x))) |
(/ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) x) |
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x)) x) |
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2)) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x))) x) |
(/ (+ (* n (+ 1 (* -1 (/ (log (/ 1 x)) n)))) (+ (/ (* n (+ 1/3 (* 1/2 (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n))))) (pow x 2)) (+ (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) (pow x 3)) (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ 1 x)) n))) 1/2)) x)))) x) |
(* -1 (/ (* n (- (/ (log (/ -1 x)) n) 1)) x)) |
(* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2)) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3)) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* n (- (* 1/2 (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n)))) 1/4)) x)) (* n (- (* 1/2 (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n))) 1/3))) x)) (* n (- (* 1/2 (+ (/ 1 n) (/ (log (/ -1 x)) n))) 1/2))) x)) (* n (- (/ (log (/ -1 x)) n) 1))) x)) |
(* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) |
(+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) |
(* n (- (log (+ 1 x)) (log x))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(* -1 (* n (- (* -1 (log (+ 1 x))) (* -1 (log x))))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log 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)) |
x |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(* x (+ 1 x)) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(pow x 2) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(* (pow x 2) (+ 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) |
(/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (+ (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n)) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x) |
(* -1 (/ (- (/ (log (/ -1 x)) n) 1) (* n x))) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n)) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow n 2))) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(log x) |
(+ x (log x)) |
(+ (log x) (* x (+ 1 (* -1/2 x)))) |
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(* -2 (log (/ 1 x))) |
(+ (* -2 (log (/ 1 x))) (/ 1 x)) |
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(* -2 (log (/ -1 x))) |
(+ (* -2 (log (/ -1 x))) (/ 1 x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))) |
| Outputs |
|---|
(* -1 (/ (log x) n)) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(-.f64 (fma.f64 x (/.f64 (*.f64 x #s(literal -1/2 binary64)) n) (/.f64 x n)) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))) (*.f64 x x) (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n)))) |
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(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))) x) |
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(* n (- (log (+ 1 x)) (log x))) |
(*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* n (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* -1 (* n (- (* -1 (log (+ 1 x))) (* -1 (log x))))) |
(*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* -1 (* n (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))))) |
(*.f64 n (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ x (* -1 (log x))) |
(-.f64 x (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(-.f64 (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) |
x |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(* x (+ 1 x)) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(pow x 2) |
(*.f64 x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* (pow x 2) (+ 1 (/ 1 x))) |
(fma.f64 x x x) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(* -1 n) |
(neg.f64 n) |
(/ (- (* -1/2 (pow (log x) 2)) (* n (log x))) (pow n 2)) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (/ 1 n)))) (/ (log x) n)) |
(+.f64 (/.f64 x n) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))) |
(- (+ (* -1/2 (/ (pow (log x) 2) (pow n 2))) (* x (+ (* 1/2 (/ (+ (* -1 (/ (log x) n)) (/ (log x) n)) n)) (+ (* x (- (+ (* 1/2 (/ (+ (* -1/2 (/ (log x) n)) (+ (* 1/2 (/ (log x) n)) (/ 1 n))) n)) (* x (+ (* 1/2 (/ (- (+ (* -1/3 (/ (log x) n)) (* 1/3 (/ (log x) n))) (/ 1 n)) n)) (* 1/3 (/ 1 n))))) (* 1/2 (/ 1 n)))) (/ 1 n))))) (/ (log x) n)) |
(fma.f64 x (fma.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (*.f64 n n)) (fma.f64 x (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (*.f64 n n))) (*.f64 (/.f64 #s(literal 1 binary64) n) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1 binary64) n)) (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n))) |
(/ (+ 1 (* -1 (/ (log (/ 1 x)) n))) (* n x)) |
(/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) (*.f64 x n)) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (/ 1 n))) (/ 1/2 (* n x))) x) |
(/.f64 (+.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 (+.f64 (/.f64 (log.f64 x) n) #s(literal 1 binary64)) n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2)))))))) (/ 1/2 (* n x))) x) |
(/.f64 (+.f64 (/.f64 (log.f64 x) (*.f64 n n)) (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (/.f64 #s(literal 1 binary64) n) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)))))) x) |
(/ (- (+ (* -1 (/ (log (/ 1 x)) (pow n 2))) (+ (* 1/2 (/ (+ (* 1/2 (/ (log (/ 1 x)) n)) (* 11/12 (/ 1 n))) (* n (pow x 3)))) (+ (* 1/2 (/ (+ (/ 1 n) (/ (log (/ 1 x)) n)) (* n x))) (+ (* 1/2 (/ (- (* -2/3 (/ (log (/ 1 x)) n)) (/ 1 n)) (* n (pow x 2)))) (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))))))) (+ (/ 1/4 (* n (pow x 3))) (/ 1/2 (* n x)))) x) |
(/.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal 2/3 binary64) (/.f64 #s(literal -1 binary64) n)) (*.f64 x (*.f64 x n)))) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x n)))) (/.f64 (fma.f64 (/.f64 (log.f64 x) n) #s(literal -1/4 binary64) (/.f64 #s(literal 11/24 binary64) n)) (*.f64 x (*.f64 x (*.f64 x n)))))) (-.f64 (/.f64 (log.f64 x) (*.f64 n n)) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))))) x) |
(* -1 (/ (- (/ (log (/ -1 x)) n) 1) (* n x))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) (neg.f64 n))) (*.f64 x n)) |
(* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n)) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x n)))) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n)) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/3 binary64) (*.f64 x n)))) x)) (neg.f64 x)) |
(* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/2 (/ (+ (* 1/2 (/ (log (/ -1 x)) n)) (* 11/12 (/ 1 n))) n)) (* 1/4 (/ 1 n))) x)) (* 1/2 (/ (+ (* 2/3 (/ (log (/ -1 x)) n)) (/ 1 n)) n))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ (+ (/ 1 n) (/ (log (/ -1 x)) n)) n))) (* 1/2 (/ 1 n))) x)) (/ (log (/ -1 x)) (pow n 2))) (/ 1 n)) x)) |
(/.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) n) (/.f64 (-.f64 (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) n) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n)) (/.f64 #s(literal 1/2 binary64) n) (/.f64 #s(literal -1/2 binary64) n)) (/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 1/2 binary64) n)) n) (/.f64 #s(literal -1/3 binary64) n)) (+.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) (/.f64 (neg.f64 (log.f64 (neg.f64 x))) n) (/.f64 #s(literal 11/24 binary64) n)) (*.f64 x n)) (/.f64 #s(literal -1/4 binary64) (*.f64 x n)))) x)) x)) (neg.f64 x)) |
(* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) (pow n 2))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n n)))) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n)) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n)) |
(/ (+ (* 1/2 (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x)))) (* n (- (log (+ 1 x)) (log x)))) (pow n 2)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n n)) |
(/ (- (log (+ 1 x)) (log x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) |
(/ (- (+ (log (+ 1 x)) (* 1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (log x)) n) |
(/.f64 (fma.f64 (*.f64 (log.f64 (fma.f64 x x x)) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (-.f64 (log1p.f64 x) (log.f64 x))) n) |
(* -1 (/ (- (* -1 (log (+ 1 x))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n)) |
(* -1 (/ (- (+ (* -1 (log (+ 1 x))) (* -1/2 (/ (* (log (* x (+ 1 x))) (log (/ (+ 1 x) x))) n))) (* -1 (log x))) n)) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (fma.f64 x x x))) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (log.f64 x)) (log1p.f64 x)) (neg.f64 n)) |
(log x) |
(log.f64 x) |
(+ x (log x)) |
(+.f64 x (log.f64 x)) |
(+ (log x) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 x (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) (log.f64 x)) |
(+ (log x) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(fma.f64 x (fma.f64 x (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (log.f64 x)) |
(* -2 (log (/ 1 x))) |
(*.f64 (log.f64 x) #s(literal 2 binary64)) |
(+ (* -2 (log (/ 1 x))) (/ 1 x)) |
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(- (+ (* -2 (log (/ 1 x))) (/ 1 x)) (/ 1/2 (pow x 2))) |
(fma.f64 (log.f64 x) #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(- (+ (* -2 (log (/ 1 x))) (+ (/ 1 x) (* 1/3 (/ 1 (pow x 3))))) (/ 1/2 (pow x 2))) |
(fma.f64 (log.f64 x) #s(literal 2 binary64) (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 x (*.f64 x x))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x))) |
(* -2 (log (/ -1 x))) |
(*.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64)) |
(+ (* -2 (log (/ -1 x))) (/ 1 x)) |
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* 1/2 (/ 1 x)) 1) x))) |
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x)) |
(+ (* -2 (log (/ -1 x))) (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x))) |
(fma.f64 (neg.f64 (log.f64 (neg.f64 x))) #s(literal -2 binary64) (neg.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x))) |
Compiled 41 988 to 3 923 computations (90.7% saved)
37 alts after pruning (36 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 367 | 23 | 1 390 |
| Fresh | 12 | 13 | 25 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 384 | 37 | 1 421 |
| Status | Accuracy | Program |
|---|---|---|
| 17.1% | (fma.f64 (fma.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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 41.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) | |
| ▶ | 27.2% | (/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
| ▶ | 6.5% | (/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
| 24.0% | (/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) | |
| 46.9% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) | |
| 51.7% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| 34.4% | (/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) | |
| 41.2% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) | |
| 35.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) n) | |
| 18.2% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 53.3% | (/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n)) | |
| 39.1% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 53.8% | (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) | |
| 48.5% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) | |
| 36.4% | (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) | |
| 4.3% | (/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) | |
| 50.2% | (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) | |
| 9.2% | (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) | |
| 39.4% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ▶ | 64.3% | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
| 63.8% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))) | |
| 35.9% | (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) | |
| 36.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) | |
| 64.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) | |
| 35.9% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| ▶ | 30.1% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 10.2% | (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 36.2% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 38.6% | (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) | |
| 33.0% | (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) | |
| 6.8% | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) | |
| 34.5% | (neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n)))) | |
| ▶ | 29.3% | #s(literal 0 binary64) |
Compiled 1 543 to 776 computations (49.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (log.f64 x) |
| ✓ | cost-diff | 0 | (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) |
| ✓ | cost-diff | 0 | (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) |
| ✓ | cost-diff | 64 | (/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
| ✓ | cost-diff | 0 | (pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
| ✓ | cost-diff | 0 | (/.f64 x n) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 x n) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | cost-diff | 0 | (*.f64 x #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
| ✓ | cost-diff | 640 | (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) x) x) |
| ✓ | cost-diff | 0 | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
| ✓ | cost-diff | 0 | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
| 8 514× | accelerator-lowering-fma.f32 |
| 8 514× | accelerator-lowering-fma.f64 |
| 3 318× | *-lowering-*.f32 |
| 3 318× | *-lowering-*.f64 |
| 1 816× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 170 |
| 1 | 72 | 170 |
| 2 | 136 | 166 |
| 3 | 238 | 162 |
| 4 | 365 | 162 |
| 5 | 576 | 162 |
| 6 | 1254 | 160 |
| 7 | 3024 | 160 |
| 8 | 5687 | 160 |
| 9 | 7722 | 160 |
| 0 | 8167 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (/ (+ 1 x) x)) n) |
(log (/ (+ 1 x) x)) |
(/ (+ 1 x) x) |
(+ 1 x) |
1 |
x |
n |
0 |
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n)) |
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) |
n |
(+ (* x (* x -1/2)) x) |
x |
(* x -1/2) |
-1/2 |
(* 1/2 (* x x)) |
1/2 |
(* x x) |
(* n n) |
(- (+ (/ x n) 1) (pow x (/ 1 n))) |
(+ (/ x n) 1) |
(/ x n) |
x |
n |
1 |
(pow x (/ 1 n)) |
(/ 1 n) |
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n)) |
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) |
x |
n |
(* (log x) (+ (* (log x) -1/2) (neg n))) |
(log x) |
(+ (* (log x) -1/2) (neg n)) |
-1/2 |
(neg n) |
(* n n) |
| Outputs |
|---|
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(log (/ (+ 1 x) x)) |
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 #s(literal 1 binary64) x) x) |
(+ 1 x) |
(+.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
n |
0 |
#s(literal 0 binary64) |
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n)) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n)) |
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
n |
(+ (* x (* x -1/2)) x) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) |
x |
(* x -1/2) |
(*.f64 x #s(literal -1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(* 1/2 (* x x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(* x x) |
(*.f64 x x) |
(* n n) |
(*.f64 n n) |
(- (+ (/ x n) 1) (pow x (/ 1 n))) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(+ (/ x n) 1) |
(+.f64 #s(literal 1 binary64) (/.f64 x n)) |
(/ x n) |
(/.f64 x n) |
x |
n |
1 |
#s(literal 1 binary64) |
(pow x (/ 1 n)) |
(pow.f64 x (/.f64 #s(literal 1 binary64) n)) |
(/ 1 n) |
(/.f64 #s(literal 1 binary64) n) |
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n)) |
(/.f64 (fma.f64 (log.f64 x) (fma.f64 (log.f64 x) (/.f64 #s(literal -1/2 binary64) n) #s(literal -1 binary64)) x) n) |
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) |
(-.f64 (*.f64 x n) (*.f64 (log.f64 x) (fma.f64 #s(literal 1/2 binary64) (log.f64 x) n))) |
x |
n |
(* (log x) (+ (* (log x) -1/2) (neg n))) |
(*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) |
(log x) |
(log.f64 x) |
(+ (* (log x) -1/2) (neg n)) |
(fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) |
-1/2 |
#s(literal -1/2 binary64) |
(neg n) |
(neg.f64 n) |
(* n n) |
(*.f64 n n) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (log.f64 x) |
| ✓ | accuracy | 99.6% | (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) |
| ✓ | accuracy | 99.4% | (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) |
| ✓ | accuracy | 65.3% | (/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
| ✓ | accuracy | 100.0% | (/.f64 x n) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) n) |
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 x n) #s(literal 1 binary64)) |
| ✓ | accuracy | 54.8% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| ✓ | accuracy | 100.0% | (*.f64 n n) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
| ✓ | accuracy | 93.3% | (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) |
| ✓ | accuracy | 67.6% | (/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 #s(literal 1 binary64) x) x) |
| ✓ | accuracy | 99.6% | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
| ✓ | accuracy | 64.6% | (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) |
| 74.0ms | 113× | 1 | valid |
| 64.0ms | 68× | 0 | valid |
| 48.0ms | 75× | 2 | valid |
Compiled 165 to 34 computations (79.4% saved)
ival-pow: 58.0ms (36.9% of total)ival-div: 40.0ms (25.4% of total)ival-log: 17.0ms (10.8% of total)ival-mult: 16.0ms (10.2% of total)ival-add: 12.0ms (7.6% of total)adjust: 9.0ms (5.7% of total)ival-sub: 2.0ms (1.3% of total)exact: 1.0ms (0.6% of total)ival-neg: 1.0ms (0.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (log (/ (+ 1 x) x))> |
#<alt (/ (+ 1 x) x)> |
#<alt (+ 1 x)> |
#<alt (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x)))> |
#<alt (/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n))> |
#<alt (+ (* x (* x -1/2)) x)> |
#<alt (* x -1/2)> |
#<alt (- (+ (/ x n) 1) (pow x (/ 1 n)))> |
#<alt (+ (/ x n) 1)> |
#<alt (/ x n)> |
#<alt (pow x (/ 1 n))> |
#<alt (/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n))> |
#<alt (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n))))> |
#<alt (* (log x) (+ (* (log x) -1/2) (neg n)))> |
#<alt (log x)> |
#<alt (* 1/2 (* x x))> |
#<alt (* n n)> |
#<alt (/ 1 n)> |
| Outputs |
|---|
#<alt (* -1 (/ (log x) n))> |
#<alt (+ (* -1 (/ (log x) n)) (/ x n))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n))))> |
#<alt (+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n))))> |
#<alt (/ 1 (* n x))> |
#<alt (/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x)> |
#<alt (/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x)> |
#<alt (/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x)> |
#<alt (/ 1 (* n x))> |
#<alt (* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x))> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<alt (/ (log (/ (+ 1 x) x)) n)> |
#<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 (/ 1 x)> |
#<alt (/ (+ 1 x) x)> |
#<alt (/ (+ 1 x) x)> |
#<alt (/ (+ 1 x) x)> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt 1> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<alt (+ 1 (/ 1 x))> |
#<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 (* 1/2 (pow x 2))> |
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))> |
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))> |
#<alt (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2)))))> |
#<alt (* n (+ x (* -1/2 (pow x 2))))> |
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))> |
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))> |
#<alt (* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))))> |
#<alt (* n (+ x (* -1/2 (pow x 2))))> |
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))> |
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))> |
#<alt (* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n)))))> |
#<alt (* n x)> |
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))> |
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))> |
#<alt (* x (+ n (* x (+ 1/2 (* -1/2 n)))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* (pow x 2) (+ 1/2 (* -1/2 n)))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x))))> |
#<alt (* 1/2 (/ (pow x 2) (pow n 2)))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))> |
#<alt (/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2))> |
#<alt (/ (+ x (* -1/2 (pow x 2))) n)> |
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)> |
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)> |
#<alt (/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n)> |
#<alt (/ (+ x (* -1/2 (pow x 2))) n)> |
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n))> |
#<alt (* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) 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 (* -1/2 n))) (pow n 2))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt (/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt (* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2))))))> |
#<alt x> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* x (+ 1 (* -1/2 x)))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* -1/2 (pow x 2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* (pow x 2) (- (/ 1 x) 1/2))> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (* -1/2 x)> |
#<alt (- 1 (exp (/ (log x) n)))> |
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))> |
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))> |
#<alt (- (+ 1 (/ x n)) (exp (/ (log x) n)))> |
#<alt (/ x n)> |
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))> |
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))> |
#<alt (* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x)))> |
#<alt (/ x n)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n))))> |
#<alt (/ x n)> |
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)> |
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)> |
#<alt (/ (+ x (* n (- 1 (exp (/ (log x) n))))) n)> |
#<alt (/ (- x (log x)) n)> |
#<alt (/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n)> |
#<alt (/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n)> |
#<alt (* -1 (/ (- (* -1 x) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))> |
#<alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n))> |
#<alt 1> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt (/ x n)> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (/ x n)> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (* x (+ (/ 1 n) (/ 1 x)))> |
#<alt (/ x n)> |
#<alt (/ (+ n x) n)> |
#<alt (/ (+ n x) n)> |
#<alt (/ (+ n x) n)> |
#<alt 1> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt 1> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt (+ 1 (/ x n))> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x n)> |
#<alt (/ x 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 (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))> |
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))> |
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))> |
#<alt (+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)))> |
#<alt (/ x n)> |
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))> |
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))> |
#<alt (* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n)))> |
#<alt (/ x n)> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))> |
#<alt (* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n))))> |
#<alt (* -1/2 (/ (pow (log x) 2) (pow n 2)))> |
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))> |
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))> |
#<alt (/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2))> |
#<alt (/ (+ x (* -1 (log x))) n)> |
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n)> |
#<alt (* -1 (/ (+ (log x) (* -1 x)) n))> |
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))> |
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))> |
#<alt (* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n))> |
#<alt (* (log x) (- (* -1/2 (log x)) n))> |
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))> |
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))> |
#<alt (+ (* n x) (* (log x) (- (* -1/2 (log x)) n)))> |
#<alt (* n x)> |
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))> |
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))> |
#<alt (* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x))))> |
#<alt (* n x)> |
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))> |
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))> |
#<alt (* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x)))))> |
#<alt (* -1/2 (pow (log x) 2))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))> |
#<alt (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x)))))> |
#<alt (* n (+ x (* -1 (log x))))> |
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))> |
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))> |
#<alt (* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))))> |
#<alt (* -1 (* n (+ (log x) (* -1 x))))> |
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))> |
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))> |
#<alt (* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))))))> |
#<alt (* (log x) (- (* -1/2 (log x)) n))> |
#<alt (* (log x) (- (* -1/2 (log x)) n))> |
#<alt (* (log x) (- (* -1/2 (log x)) n))> |
#<alt (* (log x) (- (* -1/2 (log x)) n))> |
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))> |
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))> |
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))> |
#<alt (* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))> |
#<alt (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n))> |
#<alt (* -1/2 (pow (log x) 2))> |
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))> |
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))> |
#<alt (+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2)))> |
#<alt (* -1 (* n (log x)))> |
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))> |
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))> |
#<alt (* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))> |
#<alt (* -1 (* n (log x)))> |
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))> |
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))> |
#<alt (* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))))> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (log x)> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (* -1 (log (/ 1 x)))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (+ (log -1) (* -1 (log (/ -1 x))))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (* 1/2 (pow x 2))> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<alt (pow n 2)> |
#<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)> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | n | @ | 0 | (/ (log (/ (+ 1 x) x)) n) |
| 5.0ms | n | @ | inf | (/ (log (/ (+ 1 x) x)) n) |
| 4.0ms | x | @ | inf | (/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n)) |
| 1.0ms | x | @ | -inf | (/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n)) |
| 1.0ms | x | @ | inf | (/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n)) |
| 1× | batch-egg-rewrite |
| 5 542× | accelerator-lowering-fma.f32 |
| 5 542× | accelerator-lowering-fma.f64 |
| 4 626× | *-lowering-*.f32 |
| 4 626× | *-lowering-*.f64 |
| 4 022× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 142 |
| 1 | 196 | 142 |
| 2 | 1742 | 142 |
| 0 | 8264 | 133 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (log (/ (+ 1 x) x)) n) |
(log (/ (+ 1 x) x)) |
(/ (+ 1 x) x) |
(+ 1 x) |
(+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) |
(/ (+ (* n (+ (* x (* x -1/2)) x)) (* 1/2 (* x x))) (* n n)) |
(+ (* x (* x -1/2)) x) |
(* x -1/2) |
(- (+ (/ x n) 1) (pow x (/ 1 n))) |
(+ (/ x n) 1) |
(/ x n) |
(pow x (/ 1 n)) |
(/ (+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) (* n n)) |
(+ (* x n) (* (log x) (+ (* (log x) -1/2) (neg n)))) |
(* (log x) (+ (* (log x) -1/2) (neg n))) |
(log x) |
(* 1/2 (* x x)) |
(* n n) |
(/ 1 n) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) n) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 n)) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) n) (/.f64 (log.f64 (neg.f64 x)) n)) |
(-.f64 (/.f64 (log1p.f64 x) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 x) (neg.f64 (neg.f64 n)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
(-.f64 (/.f64 (log.f64 (+.f64 #s(literal -1 binary64) (neg.f64 x))) (neg.f64 (neg.f64 n))) (/.f64 (log.f64 (neg.f64 x)) (neg.f64 (neg.f64 n)))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) n)) |
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(fma.f64 #s(literal -1 binary64) (*.f64 n (log.f64 x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -1/2 binary64) (neg.f64 (*.f64 n (log.f64 x)))) |
(fma.f64 (*.f64 (log.f64 x) #s(literal -1 binary64)) n (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x))))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64)))) (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n))) |
(/.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) (log.f64 x)) (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))) (log.f64 x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)) (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (neg.f64 (*.f64 n (log.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 x) (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))))) (neg.f64 (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (log.f64 x) (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 n n) (neg.f64 n) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 3 binary64))) (log.f64 x))) (neg.f64 (fma.f64 (neg.f64 n) (-.f64 (neg.f64 n) (*.f64 #s(literal -1/2 binary64) (log.f64 x))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 n (neg.f64 n))) (log.f64 x))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) (neg.f64 n)))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (*.f64 n (log.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (neg.f64 (*.f64 n (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (neg.f64 (*.f64 n (log.f64 x))) (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))))))) |
(*.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n))) |
(*.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (log.f64 x)) |
(log.f64 x) |
(+.f64 (log.f64 x) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (log.f64 x)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (*.f64 x x)) |
(*.f64 (*.f64 x x) #s(literal 1/2 binary64)) |
(*.f64 (*.f64 x #s(literal 1/2 binary64)) x) |
(exp.f64 (*.f64 (log.f64 n) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 n)) #s(literal 2 binary64))) |
(neg.f64 (*.f64 n (neg.f64 n))) |
(pow.f64 n #s(literal 2 binary64)) |
(pow.f64 (*.f64 n n) #s(literal 1 binary64)) |
(pow.f64 (neg.f64 n) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 n)) #s(literal 2 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 n n)) |
(*.f64 n n) |
(*.f64 (*.f64 n n) #s(literal 1 binary64)) |
(*.f64 (neg.f64 n) (neg.f64 n)) |
(*.f64 #s(literal -1 binary64) (*.f64 n (neg.f64 n))) |
(*.f64 (*.f64 (neg.f64 n) #s(literal -1 binary64)) n) |
(*.f64 (exp.f64 (log.f64 n)) (exp.f64 (log.f64 n))) |
(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 (neg.f64 n))) |
(/.f64 #s(literal -1 binary64) (neg.f64 n)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 n)))) |
(pow.f64 n #s(literal -1 binary64)) |
(pow.f64 (*.f64 n n) #s(literal -1/2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 n)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 n #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 n)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) n)) |
(*.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) n)) |
(*.f64 (pow.f64 n #s(literal -1/2 binary64)) (pow.f64 n #s(literal -1/2 binary64))) |
| 1× | egg-herbie |
| 9 136× | accelerator-lowering-fma.f32 |
| 9 136× | accelerator-lowering-fma.f64 |
| 4 566× | *-lowering-*.f32 |
| 4 566× | *-lowering-*.f64 |
| 2 604× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 340 | 3237 |
| 1 | 1078 | 3108 |
| 2 | 2852 | 3022 |
| 0 | 8290 | 2900 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ (log x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(/ 1 (* n x)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/ 1 (* n x)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(* -1 (log x)) |
(+ x (* -1 (log x))) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(/ 1 x) |
(/ (- 1 (* 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)) |
(/ 1 x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
(/ (+ 1 x) x) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
1 |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
(+ 1 (/ 1 x)) |
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))) |
(* 1/2 (pow x 2)) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(* n (+ x (* -1/2 (pow x 2)))) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(* n (+ x (* -1/2 (pow x 2)))) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(* n x) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/ (+ x (* -1/2 (pow x 2))) n) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/ (+ x (* -1/2 (pow x 2))) n) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n)) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n)) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) 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 (* -1/2 n))) (pow n 2)) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(/ (* (pow x 2) (+ 1/2 (* -1/2 n))) (pow n 2)) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
(* (pow x 2) (+ (/ -1/2 n) (+ (/ 1 (* n x)) (* 1/2 (/ 1 (pow n 2)))))) |
x |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* -1/2 x))) |
(* x (+ 1 (* -1/2 x))) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* -1/2 (pow x 2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* (pow x 2) (- (/ 1 x) 1/2)) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(* -1/2 x) |
(- 1 (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(- (+ 1 (/ x n)) (exp (/ (log x) n))) |
(/ x n) |
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x))) |
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x))) |
(* x (- (+ (/ 1 n) (/ 1 x)) (/ (exp (* -1 (/ (log (/ 1 x)) n))) x))) |
(/ x n) |
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)))) |
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)))) |
(* -1 (* x (- (* -1 (/ (- 1 (exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n))) x)) (/ 1 n)))) |
(/ x n) |
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n) |
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n) |
(/ (+ x (* n (- 1 (exp (/ (log x) n))))) n) |
(/ (- x (log x)) n) |
(/ (- (+ x (* -1/2 (/ (pow (log x) 2) n))) (log x)) n) |
(/ (- (+ x (* -1/6 (/ (pow (log x) 3) (pow n 2)))) (+ (log x) (* 1/2 (/ (pow (log x) 2) n)))) n) |
(/ (- (+ x (* -1/24 (/ (pow (log x) 4) (pow n 3)))) (+ (log x) (+ (* 1/6 (/ (pow (log x) 3) (pow n 2))) (* 1/2 (/ (pow (log x) 2) n))))) n) |
(* -1 (/ (- (* -1 x) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* 1/24 (/ (pow (log x) 4) n)) (* -1/6 (pow (log x) 3))) n)) (* 1/2 (pow (log x) 2))) n))) (* -1 (log x))) n)) |
1 |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
(/ x n) |
(* x (+ (/ 1 n) (/ 1 x))) |
(* x (+ (/ 1 n) (/ 1 x))) |
(* x (+ (/ 1 n) (/ 1 x))) |
(/ x n) |
(* x (+ (/ 1 n) (/ 1 x))) |
(* x (+ (/ 1 n) (/ 1 x))) |
(* x (+ (/ 1 n) (/ 1 x))) |
(/ x n) |
(/ (+ n x) n) |
(/ (+ n x) n) |
(/ (+ n x) n) |
1 |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
1 |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
(+ 1 (/ x n)) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(/ x n) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (* -1 (/ (log (/ 1 x)) n))) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (+ (log -1) (* -1 (log (/ -1 x)))) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
(exp (/ (log x) n)) |
1 |
(+ 1 (/ (log x) n)) |
(+ 1 (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n))) |
(+ 1 (+ (* 1/6 (/ (pow (log x) 3) (pow n 3))) (+ (* 1/2 (/ (pow (log x) 2) (pow n 2))) (/ (log x) n)))) |
1 |
(+ 1 (/ (log x) n)) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))) n))) |
(+ 1 (* -1 (/ (+ (* -1 (log x)) (* -1 (/ (+ (* 1/6 (/ (pow (log x) 3) n)) (* 1/2 (pow (log x) 2))) n))) n))) |
(/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2)) |
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))) |
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))) |
(+ (/ x n) (/ (* (log x) (- (* -1/2 (log x)) n)) (pow n 2))) |
(/ x n) |
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n))) |
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n))) |
(* x (+ (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) (* (pow n 2) x))) (/ 1 n))) |
(/ x n) |
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n)))) |
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n)))) |
(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n)))) |
(* -1/2 (/ (pow (log x) 2) (pow n 2))) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/ (+ x (* -1 (log x))) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(* -1 (/ (+ (log x) (* -1 x)) n)) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(* n x) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(* n x) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(* -1/2 (pow (log x) 2)) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(* n (+ x (* -1 (log x)))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(* -1 (* n (+ (log x) (* -1 x)))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(* (log x) (- (* -1/2 (log x)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(* -1/2 (pow (log x) 2)) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(* -1 (* n (log x))) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(* -1 (* n (log x))) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(log x) |
(log x) |
(log x) |
(log x) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(* -1 (log (/ 1 x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(* 1/2 (pow x 2)) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(pow n 2) |
(/ 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 (/ (log x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (/ x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+ (* -1 (/ (log x) n)) (* x (+ (* -1/2 (/ x n)) (/ 1 n)))) |
(-.f64 (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) (/.f64 (log.f64 x) n)) |
(+ (* -1 (/ (log x) n)) (* x (+ (* x (- (* 1/3 (/ x n)) (* 1/2 (/ 1 n)))) (/ 1 n)))) |
(fma.f64 x (*.f64 x (fma.f64 x (/.f64 #s(literal 1/3 binary64) n) (/.f64 #s(literal -1/2 binary64) n))) (/.f64 (-.f64 x (log.f64 x)) n)) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(/ (- (/ 1 n) (* 1/2 (/ 1 (* n x)))) x) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n)))) |
(/ (- (+ (/ 1/3 (* n (pow x 2))) (/ 1 n)) (/ 1/2 (* n x))) x) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(/ (- (+ (/ 1 n) (* 1/3 (/ 1 (* n (pow x 2))))) (+ (/ 1/2 (* n x)) (* 1/4 (/ 1 (* n (pow x 3)))))) x) |
(/.f64 (+.f64 (/.f64 #s(literal -1/4 binary64) (*.f64 x (*.f64 x (*.f64 x n)))) (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n))) x) |
(/ 1 (* n x)) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(* -1 (/ (- (* 1/2 (/ 1 (* n x))) (/ 1 n)) x)) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 x n)))) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 (* n x))) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 (* n x))) (* 1/3 (/ 1 n))) x)) (* 1/2 (/ 1 n))) x)) (/ 1 n)) x)) |
(neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) (/.f64 #s(literal 1/2 binary64) n)) (*.f64 x x)) (/.f64 #s(literal -1 binary64) (*.f64 x n)))) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(/ (log (/ (+ 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) |
(* -1 (log x)) |
(neg.f64 (log.f64 x)) |
(+ x (* -1 (log x))) |
(-.f64 x (log.f64 x)) |
(+ (* -1 (log x)) (* x (+ 1 (* -1/2 x)))) |
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) (-.f64 x (log.f64 x))) |
(+ (* -1 (log x)) (* x (+ 1 (* x (- (* 1/3 x) 1/2))))) |
(-.f64 (fma.f64 (*.f64 x x) (fma.f64 x #s(literal 1/3 binary64) #s(literal -1/2 binary64)) x) (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 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) |
(/ (- (+ 1 (/ 1/3 (pow x 2))) (+ (* 1/2 (/ 1 x)) (* 1/4 (/ 1 (pow x 3))))) x) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) 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 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)) x) |
(* -1 (/ (- (* -1 (/ (- (* 1/3 (/ 1 x)) 1/2) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) (neg.f64 x)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/4 (/ 1 x)) 1/3) x)) 1/2) x)) 1) x)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) x) #s(literal -1/3 binary64)) x)) x)) (neg.f64 x)) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
(/ (+ 1 x) x) |
(/.f64 (+.f64 x #s(literal 1 binary64)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
(+ 1 (/ 1 x)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
(+ 1 x) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
x |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* x (+ 1 (/ 1 x))) |
(+.f64 x #s(literal 1 binary64)) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(* n (+ x (* -1/2 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n)) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* n (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* n (+ x (* -1/2 (pow x 2)))) |
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 x n) n)) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* -1 (* n (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))))) |
(*.f64 n (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x)) |
(* n x) |
(*.f64 x n) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(* x (+ n (* x (+ 1/2 (* -1/2 n))))) |
(*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(*.f64 x (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* (pow x 2) (+ 1/2 (* -1/2 n))) |
(*.f64 x (*.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* (pow x 2) (+ 1/2 (+ (* -1/2 n) (/ n x)))) |
(*.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (fma.f64 n #s(literal -1/2 binary64) (/.f64 n x)))) |
(* 1/2 (/ (pow x 2) (pow n 2))) |
(/.f64 (*.f64 x (*.f64 x #s(literal 1/2 binary64))) (*.f64 n n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n)) |
(/ (+ (* 1/2 (pow x 2)) (* n (+ x (* -1/2 (pow x 2))))) (pow n 2)) |
(/.f64 (*.f64 x (fma.f64 x (fma.f64 n #s(literal -1/2 binary64) #s(literal 1/2 binary64)) n)) (*.f64 n n)) |
(/ (+ x (* -1/2 (pow x 2))) n) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) n) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) n) |
(/ (+ x (+ (* -1/2 (pow x 2)) (* 1/2 (/ (pow x 2) n)))) n) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/2 binary64) n)) x) n) |
(/ (+ x (* -1/2 (pow x 2))) n) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n)) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 x)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n)) |
(/.f64 (fma.f64 (*.f64 x x) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1/2 binary64) n)) (neg.f64 x)) (neg.f64 n)) |
(* -1 (/ (+ (* -1 (+ x (* -1/2 (pow x 2)))) (* -1/2 (/ (pow x 2) n))) n)) |
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(* -1 (* x (- (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) (* (pow n 2) x))) (/ 1 n)))) |
(*.f64 x (fma.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1 binary64) n))) |
(* -1/2 (/ (pow (log x) 2) (pow n 2))) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (*.f64 n n)) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/.f64 (fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) (*.f64 n n)) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/.f64 (fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) (*.f64 n n)) |
(/ (+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) (pow n 2)) |
(/.f64 (fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) (*.f64 n n)) |
(/ (+ x (* -1 (log x))) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(/ (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) n) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(* -1 (/ (+ (log x) (* -1 x)) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(* -1 (/ (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))) n)) |
(/.f64 (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x)) n) |
(* (log x) (- (* -1/2 (log x)) n)) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(+ (* n x) (* (log x) (- (* -1/2 (log x)) n))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(* n x) |
(*.f64 x n) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(* x (+ n (* -1 (/ (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n)) x)))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(* n x) |
(*.f64 x n) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(-.f64 (*.f64 x n) (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)))) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(-.f64 (*.f64 x n) (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)))) #s(literal 1 binary64))) |
(* -1 (* x (+ (* -1 n) (* -1 (/ (* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) x))))) |
(-.f64 (*.f64 x n) (*.f64 (*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n)))) #s(literal 1 binary64))) |
(* -1/2 (pow (log x) 2)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(+ (* -1/2 (pow (log x) 2)) (* n (+ x (* -1 (log x))))) |
(fma.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n) (*.f64 x n)) |
(* n (+ x (* -1 (log x)))) |
(*.f64 n (-.f64 x (log.f64 x))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* n (+ x (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* -1 (* n (+ (log x) (* -1 x)))) |
(*.f64 n (-.f64 x (log.f64 x))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* -1 (* n (+ (log x) (+ (* -1 x) (* 1/2 (/ (pow (log x) 2) n)))))) |
(*.f64 n (-.f64 (fma.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) n) x) (log.f64 x))) |
(* (log x) (- (* -1/2 (log x)) n)) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* (log x) (- (* -1/2 (log x)) n)) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* -1 (* (log (/ 1 x)) (- (* 1/2 (log (/ 1 x))) n))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) |
(* (+ (log -1) (* -1 (log (/ -1 x)))) (- (* -1/2 (+ (log -1) (* -1 (log (/ -1 x))))) n)) |
(*.f64 (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (fma.f64 #s(literal -1/2 binary64) (-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) (neg.f64 n))) |
(* -1/2 (pow (log x) 2)) |
(*.f64 #s(literal -1/2 binary64) (pow.f64 (log.f64 x) #s(literal 2 binary64))) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(+ (* -1 (* n (log x))) (* -1/2 (pow (log x) 2))) |
(*.f64 (log.f64 x) (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) n)) |
(* -1 (* n (log x))) |
(neg.f64 (*.f64 (log.f64 x) n)) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(* n (+ (* -1 (log x)) (* -1/2 (/ (pow (log x) 2) n)))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(* -1 (* n (log x))) |
(neg.f64 (*.f64 (log.f64 x) n)) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(* -1 (* n (+ (log x) (* 1/2 (/ (pow (log x) 2) n))))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(log x) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(* -1 (log (/ 1 x))) |
(log.f64 x) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(+ (log -1) (* -1 (log (/ -1 x)))) |
(-.f64 (log.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) x))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(* 1/2 (pow x 2)) |
(*.f64 x (*.f64 x #s(literal 1/2 binary64))) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n n) |
(pow n 2) |
(*.f64 n 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) |
Compiled 23 102 to 2 201 computations (90.5% saved)
38 alts after pruning (34 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 995 | 11 | 1 006 |
| Fresh | 8 | 23 | 31 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 005 | 38 | 1 043 |
| Status | Accuracy | Program |
|---|---|---|
| 23.4% | (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) | |
| 41.2% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) | |
| ✓ | 27.2% | (/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
| 24.0% | (/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) | |
| 6.9% | (/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) | |
| 46.9% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) | |
| 51.7% | (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) | |
| 34.4% | (/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) | |
| 41.2% | (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) | |
| 35.9% | (/.f64 (/.f64 #s(literal 1 binary64) x) n) | |
| 18.2% | (/.f64 (-.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))))))) | |
| 39.1% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 53.7% | (/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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) | |
| 48.5% | (/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) | |
| 36.4% | (/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) | |
| 9.8% | (/.f64 (*.f64 x n) (*.f64 n n)) | |
| 31.3% | (/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) | |
| 39.4% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ✓ | 64.3% | (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
| 63.8% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n) | |
| 4.7% | (/.f64 x n) | |
| 38.4% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))) | |
| 35.9% | (/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) | |
| 39.3% | (/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) | |
| 36.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) | |
| 64.2% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) | |
| 29.9% | (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) | |
| 35.9% | (/.f64 #s(literal 1 binary64) (*.f64 x n)) | |
| 10.2% | (-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| 10.2% | (-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) | |
| ✓ | 36.2% | (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 24.4% | (+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) | |
| 27.1% | (*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n n))) | |
| 38.6% | (*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) | |
| 6.8% | (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) | |
| 4.3% | (*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) | |
| 12.6% | (exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64))) | |
| ✓ | 29.3% | #s(literal 0 binary64) |
Compiled 2 181 to 663 computations (69.6% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) |
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (fma.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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n 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 #s(literal 1 binary64) (/.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))))) |
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) |
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) |
(/.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 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))) |
(/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) 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))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) |
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) |
(*.f64 (pow.f64 (/.f64 n (-.f64 (pow.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64))))))) |
(/.f64 #s(literal 1 binary64) (*.f64 n (-.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 (log1p.f64 x) #s(literal 2 binary64))) (*.f64 n (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64)) (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 3 binary64))) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (+.f64 (pow.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) #s(literal 2 binary64)) (*.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))) (/.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 (fma.f64 x x x) (/.f64 #s(literal 1 binary64) n))))))))) |
| Outputs |
|---|
(/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
4 calls:
| 35.0ms | (/.f64 #s(literal 1 binary64) n) |
| 27.0ms | x |
| 19.0ms | n |
| 16.0ms | (-.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 |
|---|---|---|
| 90.6% | 2 | x |
| 85.6% | 3 | n |
| 85.0% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 88.3% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) |
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (fma.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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n 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 #s(literal 1 binary64) (/.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))))) |
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) |
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) |
(/.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 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))) |
(/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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 (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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)))) (neg.f64 n)) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (-.f64 (log.f64 x) x) (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (/.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 (log.f64 x) #s(literal 3 binary64))) (*.f64 n n)))) (neg.f64 n)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) 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))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) #s(literal 2 binary64)) (pow.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) #s(literal 2 binary64))) (-.f64 (/.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (*.f64 n #s(literal 2 binary64))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)))) n) |
| Outputs |
|---|
(/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
1 calls:
| 22.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) |
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(fma.f64 (fma.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)) x (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal -1/2 binary64) n)))) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(fma.f64 x (fma.f64 x (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (fma.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))) (/.f64 #s(literal 1 binary64) n)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(/.f64 (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n))) (*.f64 n n)) |
(-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (fma.f64 x n (*.f64 (log.f64 x) (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 n)))) (*.f64 n n)) |
(*.f64 (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)) (/.f64 #s(literal 1 binary64) (*.f64 n 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 #s(literal 1 binary64) (/.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))))) |
(/.f64 (fma.f64 n (fma.f64 n (-.f64 #s(literal 1 binary64) (exp.f64 (/.f64 (log.f64 x) n))) (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (fma.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x (*.f64 n n))) (/.f64 #s(literal 1/2 binary64) (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) n)) x) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) (log.f64 x)) (neg.f64 n)) |
(/.f64 (-.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 (log.f64 x) #s(literal 2 binary64)) n) x) (log.f64 x)) n) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)))) #s(literal -1 binary64))) n) |
(/.f64 (*.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (log.f64 (fma.f64 x x x))) (*.f64 n (log.f64 (fma.f64 x x x)))) |
(*.f64 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1 binary64) n)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 n n) (fma.f64 (log.f64 x) (fma.f64 #s(literal -1/2 binary64) (log.f64 x) (neg.f64 n)) (*.f64 x n)))) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 n) (/.f64 (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)) (*.f64 n n)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 n n)) (*.f64 n (-.f64 (fma.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) (/.f64 (log.f64 (fma.f64 x x x)) (*.f64 n #s(literal 2 binary64))) (log1p.f64 x)) (log.f64 x)))) |
(/.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 (fma.f64 (*.f64 (log.f64 (*.f64 x (+.f64 x #s(literal 1 binary64)))) (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x))) (/.f64 #s(literal 1/2 binary64) n) (log1p.f64 x)) n) (*.f64 n (log.f64 x))) (*.f64 n n)) |
(/.f64 (-.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) n) (/.f64 (+.f64 (fma.f64 (neg.f64 (log.f64 x)) #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (log.f64 x) x))) x) (log1p.f64 x)) (log.f64 x)) n) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) (*.f64 (log.f64 (/.f64 x (+.f64 #s(literal 1 binary64) x))) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n)))) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
2 calls:
| 21.0ms | (/.f64 #s(literal 1 binary64) n) |
| 17.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 83.7% | 2 | x |
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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 x n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (log.f64 x) n)) x) n) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x))) n)) |
(/.f64 (/.f64 (fma.f64 n (/.f64 (log.f64 x) n) n) x) (*.f64 n n)) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 calls:
| 10.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.0% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
1 calls:
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.9% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(/.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (neg.f64 n)) |
(*.f64 (fma.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64)) (log.f64 x)) (/.f64 #s(literal -1 binary64) n)) |
| Outputs |
|---|
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
4 calls:
| 20.0ms | n |
| 8.0ms | x |
| 8.0ms | (/.f64 #s(literal 1 binary64) n) |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.6% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 67.5% | 3 | x |
| 76.6% | 4 | n |
| 77.5% | 4 | (/.f64 #s(literal 1 binary64) n) |
Compiled 26 to 16 computations (38.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (-.f64 x (log.f64 x))) (*.f64 n n)) |
| Outputs |
|---|
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
#s(literal 0 binary64) |
4 calls:
| 34.0ms | (/.f64 #s(literal 1 binary64) n) |
| 8.0ms | x |
| 7.0ms | n |
| 6.0ms | (-.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 |
|---|---|---|
| 66.5% | 3 | x |
| 64.7% | 5 | n |
| 65.5% | 5 | (/.f64 #s(literal 1 binary64) n) |
| 57.6% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
Compiled 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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
| Outputs |
|---|
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
#s(literal 0 binary64) |
1 calls:
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.4% | 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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) |
(*.f64 (*.f64 x x) (+.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal 1 binary64) (*.f64 x n))) (/.f64 #s(literal -1/2 binary64) n))) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
4 calls:
| 14.0ms | (/.f64 #s(literal 1 binary64) n) |
| 6.0ms | n |
| 6.0ms | x |
| 5.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.2% | 3 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 46.7% | 3 | n |
| 48.9% | 4 | (/.f64 #s(literal 1 binary64) n) |
| 45.4% | 2 | x |
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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) |
#s(literal 0 binary64) |
2 calls:
| 5.0ms | (/.f64 #s(literal 1 binary64) n) |
| 5.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.3% | 2 | x |
| 48.2% | 4 | (/.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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
(/.f64 (fma.f64 n (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))) |
3 calls:
| 25.0ms | n |
| 5.0ms | x |
| 5.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.6% | 3 | (/.f64 #s(literal 1 binary64) n) |
| 47.6% | 5 | n |
| 44.3% | 4 | 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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 #s(literal 1 binary64) (/.f64 n (/.f64 #s(literal 1 binary64) x))) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
1 calls:
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.3% | 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 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
(/.f64 (*.f64 x (fma.f64 x #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 n)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)) |
(/.f64 (fma.f64 n x (*.f64 #s(literal 1/2 binary64) (*.f64 x x))) (*.f64 n n)) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 (/.f64 #s(literal 1 binary64) x) n) |
3 calls:
| 4.0ms | n |
| 4.0ms | (/.f64 #s(literal 1 binary64) n) |
| 3.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.4% | 3 | n |
| 35.9% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 42.7% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 23 to 14 computations (39.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
(-.f64 (+.f64 (/.f64 x n) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 (*.f64 x n) (*.f64 n n)) |
(*.f64 x (/.f64 (fma.f64 x #s(literal -1/2 binary64) #s(literal 1 binary64)) n)) |
| Outputs |
|---|
#s(literal 0 binary64) |
(/.f64 #s(literal 1 binary64) (*.f64 x n)) |
1 calls:
| 3.0ms | (/.f64 #s(literal 1 binary64) n) |
| Accuracy | Segments | Branch |
|---|---|---|
| 42.6% | 2 | (/.f64 #s(literal 1 binary64) n) |
Compiled 5 to 4 computations (20% saved)
Total -16.5b remaining (-36.4%)
Threshold costs -16.5b (-36.4%)
| Inputs |
|---|
#s(literal 0 binary64) |
(-.f64 #s(literal 1 binary64) #s(literal 1 binary64)) |
(/.f64 x n) |
| Outputs |
|---|
#s(literal 0 binary64) |
4 calls:
| 2.0ms | x |
| 2.0ms | (/.f64 #s(literal 1 binary64) n) |
| 2.0ms | n |
| 1.0ms | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 29.3% | 1 | (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) |
| 29.3% | 1 | x |
| 29.3% | 1 | n |
| 29.3% | 1 | (/.f64 #s(literal 1 binary64) n) |
Compiled 26 to 16 computations (38.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | 0.3821283984030793 | 837.30528376808 |
| 10.0ms | 32× | 2 | valid |
| 8.0ms | 45× | 1 | valid |
| 3.0ms | 45× | 0 | valid |
| 2.0ms | 6× | 3 | valid |
| 1.0ms | 16× | 0 | exit |
Compiled 418 to 261 computations (37.6% saved)
ival-pow: 14.0ms (71.7% of total)ival-div: 2.0ms (10.2% of total)adjust: 2.0ms (10.2% of total)ival-sub: 1.0ms (5.1% of total)ival-add: 1.0ms (5.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 101.0ms | 0.3821283984030793 | 837.30528376808 |
| 83.0ms | 49× | 1 | valid |
| 6.0ms | 21× | 2 | valid |
| 4.0ms | 55× | 0 | valid |
| 1.0ms | 3× | 3 | valid |
| 1.0ms | 11× | 0 | exit |
Compiled 322 to 213 computations (33.9% saved)
adjust: 76.0ms (83.5% of total)ival-pow: 11.0ms (12.1% of total)ival-div: 2.0ms (2.2% of total)ival-sub: 1.0ms (1.1% of total)ival-add: 1.0ms (1.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0561620753965485e+208 | 3.1968003088433175e+213 |
| 0.0ms | 4.3914765480346914e-26 | 4.0641841017930575e-10 |
| 0.0ms | -9.427071201271695e-59 | -8.817445363299214e-59 |
Compiled 16 to 14 computations (12.5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0561620753965485e+208 | 3.1968003088433175e+213 |
| 0.0ms | 4.3914765480346914e-26 | 4.0641841017930575e-10 |
| 0.0ms | -9.427071201271695e-59 | -8.817445363299214e-59 |
Compiled 16 to 14 computations (12.5% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0561620753965485e+208 | 3.1968003088433175e+213 |
| 0.0ms | 4.3914765480346914e-26 | 4.0641841017930575e-10 |
| 0.0ms | -9.427071201271695e-59 | -8.817445363299214e-59 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 2.3500888146621435e-7 |
| 0.0ms | -5.150824811117616e-8 | -8.001469042895337e-9 |
Compiled 18 to 13 computations (27.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 5.952320504481739e+82 | 2.7879552516143872e+85 |
| 53.0ms | 0.3821283984030793 | 837.30528376808 |
| 32.0ms | 76× | 0 | valid |
| 25.0ms | 77× | 2 | valid |
| 18.0ms | 101× | 1 | valid |
| 3.0ms | 30× | 0 | exit |
| 1.0ms | 2× | 3 | valid |
Compiled 426 to 301 computations (29.3% saved)
ival-pow: 29.0ms (68.3% of total)adjust: 4.0ms (9.4% of total)ival-div: 4.0ms (9.4% of total)ival-add: 3.0ms (7.1% of total)ival-sub: 2.0ms (4.7% of total)exact: 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 |
|---|---|---|
| 53.0ms | 5.952320504481739e+82 | 2.7879552516143872e+85 |
| 42.0ms | 0.3821283984030793 | 837.30528376808 |
| 63.0ms | 102× | 2 | valid |
| 14.0ms | 80× | 1 | valid |
| 6.0ms | 72× | 0 | valid |
| 2.0ms | 19× | 0 | exit |
| 1.0ms | 2× | 3 | valid |
Compiled 418 to 301 computations (28% saved)
ival-pow: 47.0ms (62.6% of total)ival-div: 18.0ms (24% of total)adjust: 4.0ms (5.3% of total)ival-add: 3.0ms (4% of total)ival-sub: 3.0ms (4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.6127282995647486e+154 | 6.489200176171155e+156 |
| 0.0ms | -5770074190.477337 | -0.027878783852821276 |
| 0.0ms | -8.242217487927074e+147 | -1.2679978638364604e+142 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 5.952320504481739e+82 | 2.7879552516143872e+85 |
| 22.0ms | 63× | 2 | valid |
| 5.0ms | 27× | 1 | valid |
| 3.0ms | 38× | 0 | valid |
| 1.0ms | 10× | 0 | exit |
Compiled 178 to 141 computations (20.8% saved)
ival-pow: 18.0ms (70.7% of total)ival-div: 2.0ms (7.9% of total)adjust: 2.0ms (7.9% of total)ival-add: 1.0ms (3.9% of total)ival-sub: 1.0ms (3.9% of total)exact: 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 | 2.6127282995647486e+154 | 6.489200176171155e+156 |
| 0.0ms | -5770074190.477337 | -0.027878783852821276 |
Compiled 16 to 14 computations (12.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.0561620753965485e+208 | 3.1968003088433175e+213 |
| 0.0ms | -5770074190.477337 | -0.027878783852821276 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5770074190.477337 | -0.027878783852821276 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -5770074190.477337 | -0.027878783852821276 |
Compiled 16 to 14 computations (12.5% saved)
| 1× | egg-herbie |
| 520× | distribute-lft-neg-in_binary64 |
| 276× | neg-mul-1_binary64 |
| 266× | neg-sub0_binary64 |
| 240× | cancel-sign-sub_binary64 |
| 238× | sub-neg_binary64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 140 | 562 |
| 1 | 187 | 562 |
| 2 | 230 | 561 |
| 3 | 267 | 560 |
| 4 | 306 | 560 |
| 5 | 357 | 560 |
| 6 | 439 | 560 |
| 7 | 550 | 560 |
| 8 | 751 | 560 |
| 9 | 1014 | 560 |
| 10 | 1251 | 560 |
| 11 | 1406 | 560 |
| 12 | 1531 | 560 |
| 13 | 1621 | 560 |
| 14 | 1670 | 560 |
| 15 | 1682 | 560 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 130 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -944473296573929/18889465931478580854784 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 13000000000000000535286355338301538774348351956091788393177388841726680493391137996800 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))) |
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 x #s(literal 23500000000000001033995972599915894971271596442521939138158250715528870076154405453824 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 130 binary64)) (/.f64 (-.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 3 binary64)) (pow.f64 (log.f64 x) #s(literal 3 binary64)))) n)) n)) (neg.f64 n)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 x #s(literal 130 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 (pow.f64 (log1p.f64 x) #s(literal 2 binary64)) (pow.f64 (log.f64 x) #s(literal 2 binary64))) (/.f64 (*.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 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.f64 #s(literal -1/6 binary64) (/.f64 (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 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 (-.f64 x (log.f64 x)) (/.f64 (fma.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 2 binary64)) #s(literal -1/2 binary64))) n)) n) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (fma.f64 x (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n))))) (+.f64 (/.f64 x n) #s(literal 1 binary64))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (fma.f64 x (/.f64 #s(literal -1 binary64) (*.f64 x (pow.f64 x (/.f64 #s(literal -1 binary64) n)))) (+.f64 #s(literal 1 binary64) (/.f64 x n))) (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.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)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (+.f64 (/.f64 x n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n)))) (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.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)) #s(literal 1 binary64)))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5088519546561747/56539106072908298546665520023773392506479484700019806659891398441363832832 binary64)) (/.f64 (pow.f64 x (/.f64 #s(literal 1 binary64) n)) (*.f64 x n)) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 8711228593176025/174224571863520493293247799005065324265472 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.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)) #s(literal 1 binary64)))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -944473296573929/18889465931478580854784 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal -944473296573929/18889465931478580854784 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) (if (<=.f64 (-.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) n)) (pow.f64 x (/.f64 #s(literal 1 binary64) n))) #s(literal 0 binary64)) (/.f64 (log.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) x)) n) (-.f64 #s(literal 1 binary64) (pow.f64 x (/.f64 #s(literal 1 binary64) n))))) |
(if (<=.f64 x #s(literal 7656119366529843/9007199254740992 binary64)) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x #s(literal 13000000000000000535286355338301538774348351956091788393177388841726680493391137996800 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))) |
(if (<=.f64 x #s(literal 5404319552844595/9007199254740992 binary64)) (neg.f64 (/.f64 (log.f64 x) n)) (if (<=.f64 x #s(literal 1300000000000000053528635533830153877434835195609178839317738884172668049339113799680 binary64)) (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 x n)) (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) (/.f64 #s(literal 1 binary64) n)) x) #s(literal 0 binary64))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (-.f64 (fma.f64 x (fma.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)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000000000244883632875752602897861135017653719443725211872950841317966923780806157646236382318965565323407551383810267164593312926085511380992 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (+.f64 #s(literal -1 binary64) (fma.f64 x (fma.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)) #s(literal 1 binary64)))))) |
(if (<=.f64 x #s(literal 23500000000000001033995972599915894971271596442521939138158250715528870076154405453824 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1/3 binary64) x)) x)) x) n) #s(literal 0 binary64)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n))))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 50000000000000000358811577045508415204030740594580155903356386073125330840244170064133303492288094665193286906648381068130040767114734612976366826838556672 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 n n)) (/.f64 #s(literal -1/2 binary64) n)) (*.f64 x x)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal 100000000000000007311188218325485257111615953570420507004223762444111242223779285187536341014385741266761068799969763125334902791605243044670546908252847439043930576054277584733562461577854658781477884848504832 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (/.f64 n x) n))) (/.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 x x)) (*.f64 n n)))) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) n)) |
(if (<=.f64 (/.f64 #s(literal 1 binary64) n) #s(literal -5000000000 binary64)) #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x n))) |
#s(literal 0 binary64) |
| 11 538× | accelerator-lowering-fma.f32 |
| 11 538× | accelerator-lowering-fma.f64 |
| 9 136× | accelerator-lowering-fma.f32 |
| 9 136× | accelerator-lowering-fma.f64 |
| 8 270× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 142 |
| 1 | 196 | 142 |
| 2 | 1742 | 142 |
| 0 | 8264 | 133 |
| 0 | 34 | 170 |
| 1 | 206 | 160 |
| 2 | 1712 | 160 |
| 0 | 8164 | 131 |
| 0 | 340 | 3237 |
| 1 | 1078 | 3108 |
| 2 | 2852 | 3022 |
| 0 | 8290 | 2900 |
| 0 | 8 | 26 |
| 1 | 58 | 26 |
| 2 | 402 | 26 |
| 3 | 4324 | 26 |
| 0 | 8399 | 22 |
| 0 | 240 | 1483 |
| 1 | 700 | 1377 |
| 2 | 1966 | 1308 |
| 3 | 6932 | 1308 |
| 0 | 8128 | 1194 |
| 0 | 563 | 4399 |
| 1 | 1807 | 3984 |
| 2 | 5378 | 3875 |
| 0 | 8397 | 3526 |
| 0 | 1456 | 13930 |
| 1 | 4680 | 13235 |
| 0 | 9051 | 12215 |
| 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 1 313 to 646 computations (50.8% saved)
Compiled 1 166 to 290 computations (75.1% saved)
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