Time bar (total: 20.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 21.4% | 18.7% | 68.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 26.9% | 21.9% | 59.3% | 0.1% | 0% | 18.7% | 0% | 6 |
| 33.3% | 25% | 50% | 0.1% | 0% | 18.7% | 6.2% | 7 |
| 37% | 26.5% | 45.3% | 0.1% | 0% | 21.9% | 6.2% | 8 |
| 43.9% | 28.1% | 35.9% | 0.1% | 2.3% | 21.9% | 11.7% | 9 |
| 47.1% | 28.9% | 32.4% | 0.1% | 2.7% | 23.4% | 12.5% | 10 |
| 53.3% | 30.3% | 26.5% | 0.1% | 4.1% | 23.4% | 15.5% | 11 |
| 55.2% | 30.7% | 25% | 0.1% | 4.4% | 24.2% | 15.6% | 12 |
Compiled 16 to 12 computations (25% saved)
| 2.5s | 2761× | body | 1024 | valid |
| 1.9s | 1813× | body | 2048 | valid |
| 1.8s | 1467× | body | 1024 | invalid |
| 765.0ms | 1257× | body | 512 | valid |
| 726.0ms | 2425× | body | 256 | valid |
| 558.0ms | 750× | body | 512 | invalid |
| 235.0ms | 736× | body | 256 | infinite |
| 227.0ms | 205× | body | 1024 | infinite |
| 217.0ms | 1300× | body | 256 | invalid |
| 168.0ms | 263× | body | 512 | infinite |
| 106.0ms | 394× | body | 256 | unsamplable |
| 7.0ms | 3× | body | 2048 | invalid |
| 2× | egg-herbie |
| 1218× | distribute-lft-neg-in |
| 1160× | fma-def |
| 948× | distribute-rgt-neg-in |
| 870× | *-commutative |
| 864× | associate-*r/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 15 | 74 |
| 1 | 35 | 74 |
| 2 | 77 | 74 |
| 3 | 196 | 74 |
| 4 | 601 | 74 |
| 5 | 1819 | 74 |
| 6 | 5145 | 74 |
| 0 | 2 | 2 |
| 1× | saturated |
| 1× | node limit |
| Inputs |
|---|
0 |
1 |
| Outputs |
|---|
0 |
1 |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (pow.f64 (+.f64 n 1) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
(-.f64 (pow.f64 (+.f64 1 n) (/.f64 1 x)) (pow.f64 n (/.f64 1 x))) |
Compiled 17 to 13 computations (23.5% saved)
| 1× | egg-herbie |
| 1566× | distribute-lft-neg-in |
| 1226× | distribute-rgt-neg-in |
| 780× | *-commutative |
| 742× | associate--r+ |
| 732× | associate-+l- |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 37 |
| 1 | 22 | 37 |
| 2 | 44 | 37 |
| 3 | 106 | 37 |
| 4 | 312 | 37 |
| 5 | 933 | 37 |
| 6 | 2607 | 37 |
| 7 | 4964 | 37 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
2 alts after pruning (2 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 0 | 1 | 1 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 0 | 0 |
| Done | 0 | 0 | 0 |
| Total | 0 | 2 | 2 |
| Status | Error | Program |
|---|---|---|
| ▶ | 50.36% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.06% | (pow.f64 x (/.f64 1 n)) |
| ✓ | 2.28% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 36 to 24 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 53.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 15.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 6.0ms | x | @ | inf | (pow.f64 x (/.f64 1 n)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1040× | associate-*r/ |
| 990× | *-commutative |
| 686× | associate-*l/ |
| 494× | distribute-lft-in |
| 486× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 227 | 46 |
| 2 | 3106 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
| Outputs |
|---|
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) |
| 1× | egg-herbie |
| 940× | associate--r+ |
| 888× | associate-+l- |
| 780× | associate-+r- |
| 684× | associate--l+ |
| 576× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 13248 |
| 1 | 1288 | 12594 |
| 2 | 5562 | 12586 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (pow.f64 n -1)))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) 1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1) |
(*.f64 1 (pow.f64 x (pow.f64 n -1))) |
(*.f64 (pow.f64 x (pow.f64 n -1)) 1) |
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) |
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1))) |
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
(sqrt.f64 (pow.f64 x (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1))))) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) |
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(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
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1 |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
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(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3) |
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(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (pow.f64 n -1)) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) |
(pow.f64 (sqrt.f64 x) (*.f64 2 (/.f64 1 n))) |
(pow.f64 (sqrt.f64 x) (/.f64 2 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 x (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1))))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
Compiled 9980 to 6274 computations (37.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 247 | 14 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 248 | 14 | 262 |
| Status | Error | Program |
|---|---|---|
| 35.46% | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) | |
| 41.68% | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log1p.f64 x) 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))) | |
| 65.59% | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| ▶ | 27.29% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 65.55% | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) | |
| 43.92% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 37.47% | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) | |
| ▶ | 75.38% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 39.99% | (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) | |
| 65.22% | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) | |
| ▶ | 55.99% | (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
| ▶ | 53.43% | (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
| 57.42% | (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) | |
| ▶ | 65.55% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
Compiled 972 to 618 computations (36.4% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.16% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | 3.44% | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | n | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 9.0ms | n | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1270× | associate-*r/ |
| 1216× | associate-/r* |
| 1086× | associate-/l* |
| 958× | *-commutative |
| 904× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 192 | 36 |
| 2 | 2703 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log.f64 x)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) 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| 1× | egg-herbie |
| 1348× | associate-+r+ |
| 1086× | +-commutative |
| 672× | associate-/l* |
| 668× | associate-*r* |
| 598× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 9154 |
| 1 | 1298 | 8822 |
| 2 | 6780 | 8798 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
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(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 1) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) 1) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(log.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 x 1) x) 1))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n)) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 (log1p.f64 x) n)) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
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(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) n))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3)) n))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6)) (fma.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log1p.f64 x) 4)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 4.04% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
Compiled 27 to 19 computations (29.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | n | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 1× | batch-egg-rewrite |
| 954× | associate-*r/ |
| 820× | *-commutative |
| 680× | unswap-sqr |
| 648× | associate-*l/ |
| 478× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 202 | 15 |
| 2 | 2695 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| Outputs |
|---|
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3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1))))) |
| 1× | egg-herbie |
| 1650× | associate-/l* |
| 1466× | associate-/r* |
| 914× | associate-*r/ |
| 880× | *-commutative |
| 614× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 7381 |
| 1 | 889 | 7023 |
| 2 | 3215 | 7003 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 x 4))))) |
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) 1) |
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(+.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (-.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 3))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6)) |
(/.f64 1 (/.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
| Outputs |
|---|
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))) |
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))) |
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(expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
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(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
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(-.f64 (+.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x x))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
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(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) -1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3)) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3)) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n))) -1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 6 n))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) -1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n))) 1) (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 6 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 n)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 -1 (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(fabs.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 1/2 n)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.63% | (/.f64 1/2 (*.f64 n n)) |
| ✓ | 4.65% | (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) |
| ✓ | 5.32% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| ✓ | 9.81% | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
Compiled 115 to 41 computations (64.3% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | -inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 4.0ms | x | @ | inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1× | batch-egg-rewrite |
| 1630× | associate-/r/ |
| 434× | add-sqr-sqrt |
| 422× | pow1 |
| 422× | *-un-lft-identity |
| 404× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 128 |
| 1 | 425 | 116 |
| 2 | 6325 | 116 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) |
(/.f64 1/2 (*.f64 n n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x (/.f64 x (pow.f64 x (/.f64 1 n)))))))) 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| 1× | egg-herbie |
| 906× | associate-*r* |
| 842× | associate-/l* |
| 794× | associate-*l* |
| 738× | +-commutative |
| 706× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 604 | 12103 |
| 1 | 1737 | 11187 |
| 2 | 7970 | 11187 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
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(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) |
(*.f64 (/.f64 (/.f64 1 x) n) (pow.f64 x (/.f64 1 n))) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (/.f64 (/.f64 1 x) n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 n)) (/.f64 (/.f64 1 x) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 1) (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) n) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n) -1) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) 1) |
(*.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (/.f64 1 x)) |
(*.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1) |
(*.f64 1 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) |
(*.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (*.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (/.f64 1 x))) |
(*.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) (*.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2) (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(*.f64 (/.f64 1 x) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) |
(*.f64 (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 1) (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x)) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x) (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(*.f64 (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) (sqrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2))) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) 2) x) (cbrt.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n)))) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 -1/8 (pow.f64 n 3)))) (+.f64 (/.f64 1/4 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n 1/2) (*.f64 n (*.f64 n -1/2)))) (pow.f64 n 3)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (/.f64 1/2 n) -1/2)) n) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) 1/2))) (*.f64 (*.f64 n n) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (*.f64 n -2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (*.f64 n (neg.f64 n)) 1/2))) (*.f64 (*.f64 n (neg.f64 n)) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 n) (*.f64 (*.f64 n (neg.f64 n)) -1/2))) (*.f64 (*.f64 n (neg.f64 n)) n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (*.f64 n -2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n -2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n 1/2))) (*.f64 n (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 n -1/2))) (*.f64 n n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n -2)) n)) (*.f64 n (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 -1/8 (pow.f64 n 3))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))) |
(*.f64 (/.f64 (*.f64 (+.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) (/.f64 -1/8 (pow.f64 n 3))) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))))) |
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3) |
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1) |
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(*.f64 1 (*.f64 1/2 (pow.f64 n -2))) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(*.f64 (/.f64 1 n) (/.f64 1/2 n)) |
(*.f64 (pow.f64 n -2) 1/2) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2) |
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3) |
(pow.f64 (*.f64 (*.f64 n n) 2) -1) |
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3) |
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4))) |
(log.f64 (exp.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))) |
| Outputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
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(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1 n) (/.f64 1/2 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (pow.f64 n -2) 1/2) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2) |
(/.f64 -1/2 (*.f64 n (neg.f64 n))) |
(/.f64 (/.f64 -1/2 n) (neg.f64 n)) |
(pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (*.f64 (*.f64 n n) 2) -1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) |
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4))) |
(log.f64 (exp.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2))))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3))) |
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.08% | (pow.f64 x (/.f64 3 n)) |
| ✓ | 0.08% | (pow.f64 x (/.f64 2 n)) |
| ✓ | 2.25% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| ✓ | 21.25% | (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) |
Compiled 174 to 106 computations (39.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | n | @ | inf | (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) |
| 1.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | n | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1× | batch-egg-rewrite |
| 1236× | associate-/r* |
| 678× | associate-/l* |
| 440× | add-sqr-sqrt |
| 422× | *-un-lft-identity |
| 412× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 88 |
| 1 | 435 | 84 |
| 2 | 5765 | 84 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(pow.f64 x (/.f64 2 n)) |
(pow.f64 x (/.f64 3 n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1416× | associate-+r+ |
| 1326× | +-commutative |
| 730× | associate--r+ |
| 642× | associate-+l- |
| 592× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 522 | 12645 |
| 1 | 1403 | 11425 |
| 2 | 5586 | 11401 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (*.f64 3 (/.f64 x n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (*.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (*.f64 3 (/.f64 x n))))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 27/8 (/.f64 1 (pow.f64 n 4))) (*.f64 33/8 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 n 3))) (*.f64 3/4 (/.f64 1 n))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/8 (/.f64 1 (pow.f64 n 4))) (*.f64 33/8 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 n 3))) (*.f64 3/4 (/.f64 1 n)))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2))))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 (*.f64 3 (log.f64 (+.f64 1 x))) (*.f64 3 (log.f64 x))) n) |
(-.f64 (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))))) (+.f64 (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))))) (+.f64 (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
1 |
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n)))) |
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n)))) |
(+.f64 1 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) 1) |
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) 1) |
(*.f64 1 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) |
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 1/2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1/2 n))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n))) (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) |
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(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 n)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (*.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) |
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(+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3/2 n))) (pow.f64 x (/.f64 3/2 n)) (pow.f64 x (/.f64 3 n))))) |
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(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(*.f64 (pow.f64 1 (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 3 n)) (pow.f64 (sqrt.f64 x) (/.f64 3 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 3 n)) (pow.f64 (cbrt.f64 x) (/.f64 3 n))) |
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 3 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 3 n))))) |
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 3 n) 3))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 3 n)))) |
(exp.f64 (*.f64 (/.f64 3 n) (log.f64 x))) |
(exp.f64 (*.f64 (*.f64 (/.f64 3 n) (log.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 3 n)))) |
| Outputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (*.f64 (+.f64 1 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(+.f64 (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)))) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) (-.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (-.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)) (*.f64 n n))) |
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) (/.f64 (log.f64 (fma.f64 x x x)) n))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)) (*.f64 n n)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) (/.f64 (log.f64 (fma.f64 x x x)) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) 1)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)) (*.f64 n n))) |
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) (/.f64 (log.f64 (fma.f64 x x x)) n))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) (+.f64 (+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) (/.f64 (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)) (*.f64 n n)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) (/.f64 (log.f64 (fma.f64 x x x)) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) 1)) |
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 1 (pow.f64 x (/.f64 3 n))) |
(-.f64 (+.f64 1 (*.f64 3 (/.f64 x n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(+.f64 1 (-.f64 (*.f64 3 (/.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 3 (/.f64 x n) 1) (pow.f64 x (/.f64 3 n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (*.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 3/2 n)) (*.f64 x x) (+.f64 1 (*.f64 3 (/.f64 x n)))) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (fma.f64 3 (/.f64 x n) 1)) (pow.f64 x (/.f64 3 n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (*.f64 3 (/.f64 x n))))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 3/2 n)) (*.f64 x x) (+.f64 1 (fma.f64 (+.f64 (/.f64 1 n) (-.f64 (/.f64 9/2 (pow.f64 n 3)) (/.f64 9/2 (*.f64 n n)))) (pow.f64 x 3) (*.f64 3 (/.f64 x n))))) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) 1) (-.f64 (fma.f64 (pow.f64 x 3) (+.f64 (/.f64 9/2 (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 -9/2 (*.f64 n n)))) (*.f64 3 (/.f64 x n))) (pow.f64 x (/.f64 3 n)))) |
(+.f64 (-.f64 (fma.f64 (*.f64 x x) (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (fma.f64 3 (/.f64 x n) 1)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 x 3) (+.f64 (/.f64 9/2 (pow.f64 n 3)) (+.f64 (/.f64 1 n) (/.f64 -9/2 (*.f64 n n)))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(/.f64 (*.f64 3 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) |
(/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 3 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 3/2 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))))) |
(fma.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) x) (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) x))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
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(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
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(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
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(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
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(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
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(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
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(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
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(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
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1 |
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(fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1) |
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1 |
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(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
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(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
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(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
1 |
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1 |
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(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) 1) |
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(*.f64 1 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) |
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(pow.f64 (hypot.f64 x (sqrt.f64 x)) (*.f64 2 (/.f64 1 n))) |
(pow.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 2 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) |
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))) |
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
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(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 1)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(fma.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 3/2 n)) (pow.f64 (+.f64 x 1) (/.f64 3/2 n)) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n)))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) 1) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(*.f64 1 (pow.f64 x (/.f64 2 n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(*.f64 (pow.f64 x (/.f64 2 n)) 1) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 2 n)) (pow.f64 (sqrt.f64 x) (/.f64 2 n))) |
(pow.f64 (sqrt.f64 x) (*.f64 2 (/.f64 2 n))) |
(pow.f64 (sqrt.f64 x) (/.f64 4 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 x) (/.f64 2 n))) |
(sqrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 2 n)))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 2 n))))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(exp.f64 (*.f64 (/.f64 2 n) (log.f64 x))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(exp.f64 (*.f64 (*.f64 (/.f64 2 n) (log.f64 x)) 1)) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n)))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 x (/.f64 2 n)) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 3 n)))) 1) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 1 (pow.f64 x (/.f64 3 n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (pow.f64 x (/.f64 3 n)) 1) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (pow.f64 x (/.f64 3/2 n)) (pow.f64 x (/.f64 3/2 n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2)) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (pow.f64 1 (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 3 n)) (pow.f64 (sqrt.f64 x) (/.f64 3 n))) |
(pow.f64 (sqrt.f64 x) (/.f64 6 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 3 n)) (pow.f64 (cbrt.f64 x) (/.f64 3 n))) |
(sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) |
(sqrt.f64 (pow.f64 x (/.f64 6 n))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 3 n))))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(cbrt.f64 (pow.f64 x (*.f64 (/.f64 3 n) 3))) |
(cbrt.f64 (pow.f64 x (/.f64 9 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 (/.f64 3 n) (log.f64 x))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 (*.f64 (/.f64 3 n) (log.f64 x)) 1)) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 6.88% | (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) |
| ✓ | 7.39% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
| 9.81% | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) | |
| ✓ | 21.29% | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
Compiled 268 to 127 computations (52.6% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
| 1.0ms | n | @ | inf | (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) |
| 1.0ms | n | @ | -inf | (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) |
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
| 1× | batch-egg-rewrite |
| 728× | add-sqr-sqrt |
| 700× | *-un-lft-identity |
| 696× | pow1 |
| 682× | add-exp-log |
| 680× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 235 |
| 1 | 722 | 235 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1020× | associate--l+ |
| 968× | associate-/r/ |
| 686× | associate-/r* |
| 630× | fma-def |
| 536× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 377 | 13301 |
| 1 | 1188 | 12705 |
| 2 | 5855 | 12087 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 3)))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))))) |
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(/.f64 1/3 (*.f64 n (pow.f64 x 3))) |
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(+.f64 (/.f64 (/.f64 1/3 n) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 -1/2 (*.f64 n n)))) |
(+.f64 (*.f64 (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (*.f64 (/.f64 -1/2 (*.f64 n n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(+.f64 (*.f64 (/.f64 (/.f64 1/3 n) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) 1) (*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) 1)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) |
(/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (pow.f64 x 3)) |
(/.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (-.f64 (*.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (*.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (-.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
(/.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (pow.f64 (/.f64 1/3 n) 3) (pow.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) 3))) (+.f64 (*.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (*.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (/.f64 1/3 n))))) |
(/.f64 (*.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (neg.f64 (pow.f64 x 3))) |
(/.f64 (*.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (neg.f64 (pow.f64 x 3))) |
(/.f64 (*.f64 (-.f64 (*.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (*.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (-.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (/.f64 1/3 n) 3) (pow.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) 3)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (+.f64 (*.f64 (/.f64 1/3 n) (/.f64 1/3 n)) (*.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))) (/.f64 1/3 n))))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) x) (*.f64 x x)) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) 1) (pow.f64 x 3)) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (*.f64 x x)) x) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(pow.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) 1) |
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 1 (pow.f64 x 3))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) 1) |
(*.f64 1 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) |
(*.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (sqrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 1 (pow.f64 x 3)))) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (exp.f64 (/.f64 (log.f64 x) n))) |
(pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) 1) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (neg.f64 (pow.f64 x 3)))) |
(log.f64 (exp.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(cbrt.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))))) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(exp.f64 (log.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) 1) |
(*.f64 1 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (sqrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (*.f64 (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))) 3) (pow.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) 3)) (+.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (-.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))))))) |
(pow.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) 1) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(cbrt.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) |
| Outputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 n n) (pow.f64 x 3))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3))))) |
(fma.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 3))) (/.f64 -1/2 n))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 (/.f64 -1/2 n) n))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 3)))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 3)))) (*.f64 1/6 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 1/3 (*.f64 n (pow.f64 x 3))) |
(/.f64 (/.f64 1/3 n) (pow.f64 x 3)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3))))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) |
(-.f64 (fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) (pow.f64 x 3))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (/.f64 1/2 (*.f64 (*.f64 n n) (pow.f64 x 3)))) |
(+.f64 (fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) (pow.f64 x 3))) (/.f64 (/.f64 1/3 n) (pow.f64 x 3))) (/.f64 -1/2 (*.f64 (*.f64 n n) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 1 (*.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 3)))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (+.f64 (/.f64 1/6 (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) (pow.f64 x 3))) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))))) (/.f64 1/2 (*.f64 (*.f64 n n) (pow.f64 x 3)))) |
(fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (pow.f64 x 3)) (pow.f64 n 3)) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 (*.f64 n n) (pow.f64 x 3))) (/.f64 (/.f64 1/3 n) (pow.f64 x 3)))) (-.f64 (/.f64 (/.f64 1/6 (pow.f64 n 3)) (pow.f64 x 3)) (/.f64 1/2 (*.f64 (*.f64 n n) (pow.f64 x 3)))))) |
(fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (pow.f64 x 3)) (pow.f64 n 3)) (+.f64 (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 3))) (*.f64 (/.f64 1/3 (*.f64 n n)) (/.f64 (log.f64 x) (pow.f64 x 3)))) (-.f64 (*.f64 (/.f64 (/.f64 1 n) (pow.f64 x 3)) (+.f64 1/3 (/.f64 1/6 (*.f64 n n)))) (/.f64 1/2 (*.f64 (*.f64 n n) (pow.f64 x 3)))))) |
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(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) 1) (pow.f64 x 3)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (sqrt.f64 (pow.f64 x 3))) (sqrt.f64 (pow.f64 x 3))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (*.f64 x x)) x) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))) (pow.f64 x 3/2)) (pow.f64 x 3/2)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(pow.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) 1) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(log.f64 (exp.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(cbrt.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 -1/2 (*.f64 n n))) (pow.f64 x 3)) (exp.f64 (/.f64 (log.f64 x) n))) (+.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 -1/2 (*.f64 n n)))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (*.f64 (/.f64 (+.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 -1/2 (*.f64 n n))) (pow.f64 x 3)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(exp.f64 (log.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3))) |
(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 1 (pow.f64 x 3))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) 1) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 1 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (sqrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (sqrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) (cbrt.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 1 (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (/.f64 1 (pow.f64 x 3)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(pow.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) 1) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (neg.f64 (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(log.f64 (exp.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(cbrt.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3))))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(exp.f64 (log.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
(*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) 1) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 x x))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(*.f64 1 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 x x))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (sqrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 x x))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (*.f64 (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) (cbrt.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
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(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)))) |
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(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(cbrt.f64 (*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (*.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))) (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))))) |
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(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
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(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
(exp.f64 (log.f64 (fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
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(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))) (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))) (*.f64 x x))) |
(fma.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) (pow.f64 x 3)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 (/.f64 -1/2 n) n))) x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) |
Compiled 60481 to 32549 computations (46.2% saved)
39 alts after pruning (37 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1278 | 31 | 1309 |
| Fresh | 3 | 6 | 9 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1284 | 39 | 1323 |
| Status | Error | Program |
|---|---|---|
| 35.46% | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) | |
| 41.68% | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log1p.f64 x) 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))) | |
| 27.31% | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 27.83% | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 27.98% | (/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) | |
| 27.42% | (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) | |
| 58.98% | (/.f64 (/.f64 1 x) n) | |
| 65.59% | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 60.2% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 60.07% | (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n) | |
| ✓ | 27.29% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 63.59% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 63.29% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 94.23% | (/.f64 (log1p.f64 x) n) | |
| ▶ | 27.2% | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| ▶ | 27.69% | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 43.92% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 27.8% | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 27.42% | (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) | |
| ▶ | 95.35% | (/.f64 x n) |
| 59.43% | (/.f64 1 (*.f64 x n)) | |
| 37.47% | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) | |
| ✓ | 75.38% | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 63.58% | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 60.64% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 60.53% | (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) | |
| ▶ | 65.22% | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
| 63.4% | (+.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 80.56% | (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 52.97% | (+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 53.29% | (+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 53.01% | (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 27.81% | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) | |
| 50.45% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (fma.f64 3 (/.f64 (log1p.f64 x) n) (-.f64 (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (*.f64 (log.f64 x) (/.f64 3 n))))) | |
| 41.95% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| ▶ | 63.18% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| 65.63% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n)))) | |
| 42.28% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 27.36% | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
Compiled 1708 to 1155 computations (32.4% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.16% | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| ✓ | 3.32% | (log.f64 (/.f64 (+.f64 x 1) x)) |
Compiled 27 to 17 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | n | @ | 0 | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 1× | batch-egg-rewrite |
| 1480× | associate-*r/ |
| 1428× | associate-/r* |
| 1094× | associate-/l* |
| 1058× | associate-*l/ |
| 986× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 209 | 49 |
| 2 | 2816 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 x 1) x)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (log.f64 (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 x) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (fma.f64 x x -1)) (+.f64 (log.f64 (+.f64 x -1)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 (/.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 -1 x)) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule 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n))))))) |
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(#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) |
| 1× | egg-herbie |
| 1564× | associate-/r* |
| 788× | associate-+l+ |
| 654× | associate-+r+ |
| 636× | +-commutative |
| 514× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 0) |
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 1 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(-.f64 0 (log.f64 (/.f64 x (+.f64 x 1)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (+.f64 (log.f64 (+.f64 x -1)) (log.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x)) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (/.f64 x (+.f64 x 1))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1) |
(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
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(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) x))) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 x (fma.f64 x x -1)))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) x)) (fma.f64 x x -1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 (+.f64 (pow.f64 x 3) -1) x)) (+.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 x (fma.f64 x x -1))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x x) -1)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (+.f64 -1 x)))) (+.f64 -1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) x)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 x)) |
(/.f64 (-.f64 -1 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(fabs.f64 (+.f64 1 (/.f64 1 x))) |
(fabs.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
Compiled 7 to 3 computations (57.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.07% | (exp.f64 (/.f64 (log.f64 x) n)) |
| ✓ | 0.38% | (/.f64 (log.f64 x) n) |
| ✓ | 5.93% | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
Compiled 23 to 8 computations (65.2% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
| 0.0ms | n | @ | inf | (/.f64 (log.f64 x) n) |
| 0.0ms | n | @ | 0 | (/.f64 (log.f64 x) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 x) n) |
| 0.0ms | n | @ | -inf | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
| 1× | batch-egg-rewrite |
| 872× | *-commutative |
| 796× | associate-*r/ |
| 700× | associate-/r* |
| 612× | unswap-sqr |
| 588× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 47 |
| 1 | 199 | 43 |
| 2 | 2495 | 43 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) (/.f64 1 (+.f64 1 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| 1× | egg-herbie |
| 1134× | associate-+r+ |
| 1052× | associate-+l+ |
| 874× | associate-/l/ |
| 660× | associate-/r/ |
| 546× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 456 | 9239 |
| 1 | 1179 | 7669 |
| 2 | 4622 | 7669 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
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(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (/.f64 (log.f64 x) n))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (/.f64 (log.f64 x) n)))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6)) |
(*.f64 (pow.f64 (/.f64 n (log.f64 x)) -1/2) (pow.f64 (/.f64 n (log.f64 x)) -1/2)) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(neg.f64 (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1)) |
(neg.f64 (*.f64 (log.f64 x) (/.f64 -1 n))) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 x) (neg.f64 n)))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (pow.f64 x (/.f64 1 n)) 0) |
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 1) |
(-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)) |
(*.f64 (pow.f64 x (/.f64 (/.f64 1 n) 2)) (pow.f64 x (/.f64 (/.f64 1 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3/2)) |
(*.f64 (pow.f64 (E.f64) (/.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (E.f64) (/.f64 (/.f64 (log.f64 x) n) 2))) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/6)) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (pow.f64 x (/.f64 1 n)) 1) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3) |
(pow.f64 (E.f64) (/.f64 (log.f64 x) n)) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) |
(fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) |
(fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(-.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)))) (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 1 (/.f64 (log.f64 x) n)) |
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(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (/.f64 (log.f64 x) n))) (*.f64 (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))))) |
(*.f64 (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n)))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (cbrt.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (*.f64 (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (cbrt.f64 (sqrt.f64 (/.f64 (log.f64 x) n))))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3/2)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/6)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (/.f64 n (log.f64 x)) -1/2) (pow.f64 (/.f64 n (log.f64 x)) -1/2)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(neg.f64 (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(neg.f64 (*.f64 (log.f64 x) (/.f64 -1 n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(neg.f64 (*.f64 1 (/.f64 (log.f64 x) (neg.f64 n)))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(fabs.f64 (/.f64 (log.f64 x) n)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (neg.f64 (neg.f64 (log.f64 x))) n) |
(/.f64 (log.f64 x) n) |
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (pow.f64 x (/.f64 1 n)) 0) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(+.f64 (expm1.f64 (/.f64 (log.f64 x) n)) 1) |
(+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (fabs.f64 (pow.f64 x (/.f64 1/2 n)))) (cbrt.f64 (fabs.f64 (pow.f64 x (/.f64 1/2 n)))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (fabs.f64 (pow.f64 x (/.f64 1/2 n)))) (cbrt.f64 (fabs.f64 (pow.f64 x (/.f64 1/2 n)))))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1) (-.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 1)) |
(*.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) (+.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) -1)) |
(*.f64 (+.f64 1 (hypot.f64 1 (pow.f64 x (/.f64 1/2 n)))) (+.f64 -1 (hypot.f64 1 (pow.f64 x (/.f64 1/2 n))))) |
(*.f64 (pow.f64 x (/.f64 (/.f64 1 n) 2)) (pow.f64 x (/.f64 (/.f64 1 n) 2))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3/2)) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (E.f64) (/.f64 (/.f64 (log.f64 x) n) 2)) (pow.f64 (E.f64) (/.f64 (/.f64 (log.f64 x) n) 2))) |
(pow.f64 (E.f64) (/.f64 (log.f64 x) n)) |
(*.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/6) (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/6)) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)) (pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 (pow.f64 x (/.f64 1 n)) 1) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (E.f64) (/.f64 (log.f64 x) n)) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(fabs.f64 (pow.f64 x (/.f64 1 n))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(pow.f64 x (/.f64 1 n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.05% | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.16% | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ✓ | 0.79% | (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 3.44% | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 35 to 8 computations (77.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | inf | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | -inf | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | 0 | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 0.0ms | x | @ | 0 | (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1156× | associate-*r/ |
| 984× | *-commutative |
| 848× | associate-*l/ |
| 840× | associate-/r* |
| 698× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 227 | 55 |
| 2 | 2805 | 55 |
| 1× | node limit |
| Inputs |
|---|
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 758× | associate-*r* |
| 710× | associate-/l* |
| 660× | associate-*l* |
| 542× | +-commutative |
| 516× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 607 | 12530 |
| 1 | 1737 | 12266 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(log.f64 (-.f64 1 (log.f64 x))) |
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (log.f64 (-.f64 1 (log.f64 x)))) |
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (log.f64 (-.f64 1 (log.f64 x))))) |
(+.f64 (/.f64 x (-.f64 1 (log.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 (/.f64 1 (-.f64 1 (log.f64 x))) (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))) (pow.f64 x 2))) (+.f64 (log.f64 (-.f64 1 (log.f64 x))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 3))) (+.f64 (*.f64 2 (/.f64 1 (-.f64 1 (log.f64 x)))) (*.f64 3 (/.f64 1 (pow.f64 (-.f64 1 (log.f64 x)) 2))))) (pow.f64 x 3)))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 35/24 (/.f64 1 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 2))) |
(-.f64 (+.f64 (/.f64 1 x) (*.f64 7/6 (/.f64 1 (pow.f64 x 3)))) (+.f64 (/.f64 1 (pow.f64 x 2)) (*.f64 35/24 (/.f64 1 (pow.f64 x 4))))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 0) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 1 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)) |
(+.f64 1 (-.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)) |
(+.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) -1) |
(+.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (+.f64 -1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (+.f64 -1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (+.f64 -1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (neg.f64 (log.f64 x)) -1)) |
(+.f64 (+.f64 (log1p.f64 x) 1) (-.f64 (neg.f64 (log.f64 x)) 1)) |
(+.f64 -1 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (-.f64 (log.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(-.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) 1) |
(-.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (-.f64 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(-.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(-.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) (+.f64 (log.f64 x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) (-.f64 1 (neg.f64 (log.f64 x)))) |
(-.f64 (+.f64 (log1p.f64 x) 1) (+.f64 (log.f64 x) 1)) |
(-.f64 (+.f64 (log1p.f64 x) 1) (-.f64 (log.f64 x) -1)) |
(-.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2) 2) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 2) (+.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(-.f64 (/.f64 (pow.f64 (log1p.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (/.f64 (pow.f64 (log.f64 x) 3) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(-.f64 (+.f64 (log1p.f64 x) 0) (log.f64 x)) |
(-.f64 (+.f64 (neg.f64 (log.f64 x)) (exp.f64 (log1p.f64 (log1p.f64 x)))) 1) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
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(log.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 x 1) x)) 1)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 n) (log1p.f64 x)) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (*.f64 (/.f64 1 n) (log1p.f64 x))) |
(+.f64 (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1))) (*.f64 (/.f64 1 n) -1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(*.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(*.f64 1 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(log.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1))) |
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
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(log.f64 (+.f64 (log1p.f64 x) (-.f64 1 (log.f64 x)))) |
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.34% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| ✓ | 0.71% | (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) |
| ✓ | 3.77% | (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) |
| 21.25% | (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) |
Compiled 175 to 100 computations (42.9% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | x | @ | inf | (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) |
| 5.0ms | x | @ | -inf | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| 5.0ms | x | @ | inf | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| 4.0ms | x | @ | 0 | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| 2.0ms | n | @ | -inf | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| 1× | batch-egg-rewrite |
| 602× | add-sqr-sqrt |
| 584× | *-un-lft-identity |
| 574× | pow1 |
| 560× | add-cbrt-cube |
| 560× | add-cube-cbrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 159 |
| 1 | 591 | 159 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) |
(/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 3 n)) (/.f64 3 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 2) (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (*.f64 x n)) (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3 (/.f64 1 (/.f64 (*.f64 x (neg.f64 n)) (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3 (*.f64 x n)) 1) (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3 (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 3 (*.f64 x n)) (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n))))) (cbrt.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 x) (/.f64 (pow.f64 x (/.f64 3 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 3 (*.f64 x (neg.f64 n))) (neg.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 3) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))))) |
((#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 (/.f64 (*.f64 x (neg.f64 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 3 (*.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (*.f64 x (neg.f64 n)) (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 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| 1× | egg-herbie |
| 980× | associate-/l* |
| 962× | associate-/r* |
| 940× | *-commutative |
| 902× | associate-*r* |
| 788× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 693 | 22314 |
| 1 | 2199 | 22122 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(*.f64 n x) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (*.f64 n x)) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (*.f64 n x))) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (+.f64 (*.f64 n x) (*.f64 -1 (/.f64 (+.f64 (*.f64 -27/2 (*.f64 x (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 -3 (*.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) (log.f64 x))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 3) x)))) (pow.f64 n 2)))))) |
(*.f64 n x) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (*.f64 n x)) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (*.f64 n x))) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (+.f64 (*.f64 n x) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) (log.f64 x)) (pow.f64 n 2))) (*.f64 27/2 (/.f64 (*.f64 (pow.f64 (log.f64 x) 3) x) (pow.f64 n 2)))))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 3 (*.f64 n x)) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x))))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))))) |
(/.f64 3 (*.f64 n x)) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))) |
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(/.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 x n)) (pow.f64 x (neg.f64 (/.f64 3 n)))) |
(/.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 1) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (sqrt.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) (sqrt.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (pow.f64 (cbrt.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n)))) 2)) (cbrt.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (neg.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (neg.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (*.f64 x (neg.f64 n)) (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 1) |
(pow.f64 (sqrt.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) 2) |
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 2)) |
(log.f64 (exp.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(cbrt.f64 (*.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 2))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))))) |
(cbrt.f64 (/.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2)))) |
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(exp.f64 (log.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(exp.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) |
(exp.f64 (-.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
| Outputs |
|---|
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) x)) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) x)) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) x)) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) x)) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 n (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) x)) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(/.f64 (*.f64 n x) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (*.f64 n x) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 n (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) x) |
(*.f64 n x) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (*.f64 n x)) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (*.f64 n x)) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (*.f64 n x))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2)))) n) (*.f64 n x))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2))) n) (*.f64 n x))) |
(+.f64 (*.f64 -3 (*.f64 x (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (+.f64 (*.f64 n x) (*.f64 -1 (/.f64 (+.f64 (*.f64 -27/2 (*.f64 x (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 -3 (*.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) (log.f64 x))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 3) x)))) (pow.f64 n 2)))))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2)))) n) (fma.f64 n x (neg.f64 (/.f64 (fma.f64 -27/2 (*.f64 x (pow.f64 (log.f64 x) 3)) (fma.f64 -3 (*.f64 (log.f64 x) (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2))))) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 3))))) (*.f64 n n)))))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2))) n) (fma.f64 n x (neg.f64 (/.f64 (fma.f64 -27/2 (*.f64 x (pow.f64 (log.f64 x) 3)) (fma.f64 -3 (*.f64 (log.f64 x) (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2)))) (*.f64 x (*.f64 9/2 (pow.f64 (log.f64 x) 3))))) (*.f64 n n)))))) |
(*.f64 n x) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (*.f64 n x)) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (*.f64 n x)) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (*.f64 n x))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2)))) n) (*.f64 n x))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2))) n) (*.f64 n x))) |
(+.f64 (*.f64 -3 (*.f64 (log.f64 x) x)) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) n)) (+.f64 (*.f64 n x) (+.f64 (*.f64 -9/2 (/.f64 (*.f64 x (pow.f64 (log.f64 x) 3)) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (*.f64 (+.f64 (*.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2))) (*.f64 9/2 (*.f64 (pow.f64 (log.f64 x) 2) x))) (log.f64 x)) (pow.f64 n 2))) (*.f64 27/2 (/.f64 (*.f64 (pow.f64 (log.f64 x) 3) x) (pow.f64 n 2)))))))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2)))) n) (fma.f64 n x (fma.f64 -9/2 (/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (*.f64 n n) x)) (fma.f64 3 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 9/2 (*.f64 x (pow.f64 (log.f64 x) 2)))) (/.f64 (*.f64 n n) (log.f64 x))) (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 3) (/.f64 (*.f64 n n) x)))))))) |
(fma.f64 -3 (*.f64 x (log.f64 x)) (fma.f64 -1 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2))) n) (fma.f64 n x (fma.f64 -9/2 (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 n n)) x) (fma.f64 3 (*.f64 (/.f64 (fma.f64 -9 (*.f64 x (pow.f64 (log.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x 9/2))) (*.f64 n n)) (log.f64 x)) (/.f64 (*.f64 27/2 x) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 3)))))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
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(*.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 n x)) (pow.f64 x (/.f64 3 n))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(cbrt.f64 (*.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 2))) |
(cbrt.f64 (*.f64 3 (*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (*.f64 n x))) (pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (*.f64 n x)))) 2)))) |
(cbrt.f64 (*.f64 3 (*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 2)))) |
(cbrt.f64 (*.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(cbrt.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) (*.f64 (/.f64 9 (pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) 27) (pow.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 3 n)))) 2))))) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))))) |
(cbrt.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) (*.f64 (/.f64 9 (pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 n)))) 2)) (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) -2) (/.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) 27) (pow.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 3 n)))) 2))))) |
(cbrt.f64 (/.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (/.f64 9 (pow.f64 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))) 2))) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2)))) |
(cbrt.f64 (/.f64 (/.f64 (*.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) 9) (pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 n)))) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2)))) |
(cbrt.f64 (/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) 27) (pow.f64 (*.f64 x (/.f64 n (pow.f64 x (/.f64 3 n)))) 2)) (*.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2)))) |
(expm1.f64 (log1p.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(*.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 n x)) (pow.f64 x (/.f64 3 n))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(exp.f64 (log.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(*.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 n x)) (pow.f64 x (/.f64 3 n))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(exp.f64 (+.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 3 (/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)))) |
(exp.f64 (+.f64 (log.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 3 (/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)))) |
(exp.f64 (-.f64 (log.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x))) (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 3 (/.f64 (exp.f64 (log.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)))) |
(exp.f64 (*.f64 (log.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) 1)) |
(*.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 n x)) (pow.f64 x (/.f64 3 n))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(log1p.f64 (expm1.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) |
(*.f64 (/.f64 (/.f64 3 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 n x)) (pow.f64 x (/.f64 3 n))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 n x)) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
Compiled 48544 to 27774 computations (42.8% saved)
33 alts after pruning (32 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1424 | 13 | 1437 |
| Fresh | 13 | 19 | 32 |
| Picked | 1 | 0 | 1 |
| Done | 5 | 1 | 6 |
| Total | 1443 | 33 | 1476 |
| Status | Error | Program |
|---|---|---|
| 27.31% | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 27.83% | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 58.98% | (/.f64 (/.f64 1 x) n) | |
| 60.2% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| ▶ | 37.51% | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| 63.59% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 65.21% | (/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| ▶ | 63.17% | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 63.29% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ▶ | 25.18% | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 94.23% | (/.f64 (log1p.f64 x) n) | |
| 49.29% | (/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n) | |
| 65.98% | (/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n) | |
| 43.92% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ✓ | 95.35% | (/.f64 x n) |
| 59.43% | (/.f64 1 (*.f64 x n)) | |
| 63.54% | (-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n)) | |
| 63.58% | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 60.64% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 60.53% | (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) | |
| 63.81% | (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) | |
| ▶ | 65.22% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| ▶ | 60.57% | (-.f64 1 1) |
| 80.56% | (+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 52.97% | (+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 53.01% | (+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 27.81% | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) | |
| 50.45% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (fma.f64 3 (/.f64 (log1p.f64 x) n) (-.f64 (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (*.f64 (log.f64 x) (/.f64 3 n))))) | |
| 63.03% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (/.f64 3 x) n)) | |
| 41.95% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| 42.28% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 44.74% | (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) | |
| 27.24% | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
Compiled 1301 to 887 computations (31.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (log1p.f64 (+.f64 (/.f64 1 x) 0)) |
| ✓ | 0.29% | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
Compiled 28 to 21 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 80.0ms | n | @ | 0 | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 1× | batch-egg-rewrite |
| 1878× | add-sqr-sqrt |
| 1856× | *-un-lft-identity |
| 1736× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 228 | 28 |
| 2 | 2651 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(log1p.f64 (+.f64 (/.f64 1 x) 0)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)))))) |
| 1× | egg-herbie |
| 1382× | associate-*r/ |
| 1092× | associate-/l* |
| 864× | unswap-sqr |
| 770× | associate-*l/ |
| 684× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1982 |
| 1 | 389 | 1938 |
| 2 | 1875 | 1938 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1) |
(*.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) |
(*.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1))) |
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3) |
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1) |
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1) |
(*.f64 1 (log1p.f64 (pow.f64 x -1))) |
(*.f64 (log1p.f64 (pow.f64 x -1)) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1)))) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1)))) |
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2)) |
(log.f64 (+.f64 1 (pow.f64 x -1))) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n))) |
(+.f64 (/.f64 x n) (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n)))) |
(+.f64 (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (pow.f64 x -1) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) |
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 -1/2 x) x) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 (/.f64 -1/2 x) x) n) (/.f64 (/.f64 -1/4 (pow.f64 x 4)) n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (pow.f64 x -1) n) |
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(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
Compiled 6 to 6 computations (0% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.06% | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 5.93% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | 0 | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1736× | add-sqr-sqrt |
| 1714× | *-un-lft-identity |
| 1600× | add-cube-cbrt |
| 1586× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 173 | 19 |
| 2 | 2194 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))))) |
| 1× | egg-herbie |
| 1366× | associate-*r/ |
| 1358× | distribute-lft-in |
| 1080× | associate-*r* |
| 914× | associate-*l/ |
| 820× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1976 |
| 1 | 306 | 1798 |
| 2 | 1081 | 1774 |
| 3 | 4476 | 1774 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1) |
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) |
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) |
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1)) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.16% | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| ✓ | 0.49% | (*.f64 3 (log.f64 (cbrt.f64 x))) |
| ✓ | 0.92% | (cbrt.f64 x) |
| ✓ | 16.65% | (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
Compiled 35 to 15 computations (57.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 18.0ms | n | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| 4.0ms | n | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| 1.0ms | x | @ | -inf | (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| 1.0ms | x | @ | 0 | (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| 1× | batch-egg-rewrite |
| 1470× | associate-*r/ |
| 1332× | associate-/r* |
| 1324× | associate-/l* |
| 1142× | associate-*l/ |
| 262× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 76 |
| 1 | 253 | 46 |
| 2 | 3413 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(*.f64 3 (log.f64 (cbrt.f64 x))) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) |
| 1× | egg-herbie |
| 1416× | associate-+r+ |
| 1308× | associate-+l+ |
| 652× | +-commutative |
| 584× | associate-+r- |
| 514× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 480 | 8084 |
| 1 | 1186 | 6676 |
| 2 | 6187 | 6676 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
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(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x x)) 1/3) (cbrt.f64 (cbrt.f64 x))) |
(pow.f64 x 1/3) |
(pow.f64 (cbrt.f64 x) 1) |
(pow.f64 (pow.f64 x 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 x)))) (sqrt.f64 (log.f64 (cbrt.f64 x)))) |
(pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 x))) |
(sqrt.f64 (cbrt.f64 (*.f64 x x))) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) 1/3)) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (cbrt.f64 (*.f64 x x)))) |
(+.f64 (log.f64 x) 0) |
(+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (sqrt.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (cbrt.f64 x))) |
(+.f64 0 (log.f64 x)) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (pow.f64 x 1/6))) (log.f64 (pow.f64 x 1/6))) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (log.f64 (cbrt.f64 (cbrt.f64 (*.f64 x x))))) (log.f64 (cbrt.f64 (cbrt.f64 x)))) |
(+.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) 0) (log.f64 (cbrt.f64 x))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (*.f64 x x)))) (log.f64 (cbrt.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 x))) 1) |
(-.f64 (+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (exp.f64 (log1p.f64 (log.f64 (cbrt.f64 x))))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(pow.f64 (log.f64 x) 1) |
(pow.f64 (sqrt.f64 (log.f64 x)) 2) |
(pow.f64 (cbrt.f64 (log.f64 x)) 3) |
(pow.f64 (pow.f64 (log.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 x) 2)) |
(log.f64 x) |
(cbrt.f64 (pow.f64 (log.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 x))) |
(exp.f64 (*.f64 (log.f64 (log.f64 x)) 1)) |
(log1p.f64 (-.f64 x 1)) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n)) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 n -1)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1))) |
(*.f64 (pow.f64 n -1) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (pow.f64 n -1))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
| Outputs |
|---|
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (log1p.f64 x) (*.f64 (neg.f64 (log.f64 x)) 1)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 (*.f64 0 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(fma.f64 2 (*.f64 0 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 -3 (log.f64 (cbrt.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(fma.f64 2 (*.f64 0 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(fma.f64 2 (*.f64 0 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 (cbrt.f64 x))) 3 (log.f64 x)))) |
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(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n -1))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (pow.f64 n -1) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (pow.f64 n -1))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (+.f64 (log1p.f64 x) (*.f64 -3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.26% | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| ✓ | 0.28% | (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) |
| ✓ | 5.35% | (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
| ✓ | 21.25% | (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) |
Compiled 147 to 82 computations (44.2% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | n | @ | -inf | (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
| 2.0ms | x | @ | -inf | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 2.0ms | n | @ | -inf | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 1.0ms | x | @ | 0 | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 1.0ms | x | @ | inf | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 1× | batch-egg-rewrite |
| 564× | add-sqr-sqrt |
| 548× | *-un-lft-identity |
| 540× | pow1 |
| 524× | add-exp-log |
| 524× | add-cbrt-cube |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 184 |
| 1 | 543 | 176 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) |
(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) (sqrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n))) (cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 n)) (pow.f64 (hypot.f64 x (sqrt.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x x x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (fma.f64 x x x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 3 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 3 n)) (/.f64 (/.f64 1 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (/.f64 (/.f64 1 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (/.f64 (/.f64 1 x) n)))))) (#(struct:change #<rule 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(cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 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(/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))))))) |
| 1× | egg-herbie |
| 956× | associate-/l* |
| 942× | associate-/r* |
| 906× | associate-*r* |
| 890× | *-commutative |
| 736× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 732 | 24319 |
| 1 | 2270 | 24225 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n)) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 3) (pow.f64 n 3))) (+.f64 1 (+.f64 (/.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 (pow.f64 x 2) x)) 2) (pow.f64 n 2)))))) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (/.f64 1 (*.f64 n x))))) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (/.f64 1 (*.f64 n x))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 3 (*.f64 n x)) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x))))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))))) |
(/.f64 3 (*.f64 n x)) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x))))) |
(+.f64 (*.f64 9 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (*.f64 27/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (*.f64 3 (/.f64 1 (*.f64 n x)))))) |
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(*.f64 (/.f64 1 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 3 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) |
(*.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (-.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n)) (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 2))) (-.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(*.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (pow.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 3))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 2 n)) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) |
(*.f64 (/.f64 3 (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 3 (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 1) (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (/.f64 3 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1) (/.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (/.f64 (sqrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2) 9)) 1) (/.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2) 9)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2) 9)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (cbrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 3) |
(pow.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3) 1/3) |
(pow.f64 (*.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 n)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3)) -1) |
(neg.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
| Outputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 x (/.f64 n (exp.f64 (/.f64 (log.f64 x) n))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (/.f64 x (/.f64 n (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 x (/.f64 n (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3)))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x x)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (pow.f64 x 3)) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
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1 |
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(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
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(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
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(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
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(/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) |
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(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2) 9)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (/.f64 (cbrt.f64 (*.f64 (/.f64 3 x) (/.f64 (pow.f64 x (/.f64 3 n)) n))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (*.f64 (/.f64 3 (*.f64 x n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (*.f64 9 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2) 9)) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2)) (cbrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(*.f64 (cbrt.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2))) |
(*.f64 (cbrt.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))) (/.f64 (cbrt.f64 (*.f64 9 (pow.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) 2))) (pow.f64 (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) 2))) |
(pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 1) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(pow.f64 (sqrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 2) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(pow.f64 (cbrt.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 3) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(pow.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3) 1/3) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(pow.f64 (*.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 3 n)))) (/.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3)) -1) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(neg.f64 (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (neg.f64 (*.f64 (/.f64 3 x) (/.f64 (pow.f64 x (/.f64 3 n)) n))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 -3 (*.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (pow.f64 x (/.f64 3 n))) (*.f64 x n))) |
(sqrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) 2)) |
(sqrt.f64 (pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) 2)) |
(log.f64 (exp.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(cbrt.f64 (pow.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3)) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3 x) (/.f64 (pow.f64 x (/.f64 3 n)) n)) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3))) |
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (/.f64 3 (*.f64 x n)) (pow.f64 x (/.f64 3 n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(exp.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)))) 1)) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(log1p.f64 (expm1.f64 (*.f64 (/.f64 3 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))))) |
(*.f64 3 (/.f64 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 (*.f64 x n) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
Compiled 31152 to 18538 computations (40.5% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 768 | 11 | 779 |
| Fresh | 9 | 18 | 27 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 4 | 5 |
| Total | 778 | 34 | 812 |
| Status | Error | Program |
|---|---|---|
| 25.65% | (pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1) | |
| 26.03% | (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3) | |
| 58.98% | (/.f64 (/.f64 1 x) n) | |
| 60.2% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 40.72% | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) | |
| ✓ | 37.51% | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| 65.21% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| ✓ | 63.17% | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
| 59.17% | (/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) | |
| 63.29% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 25.18% | (/.f64 (log1p.f64 (/.f64 1 x)) n) | |
| 94.23% | (/.f64 (log1p.f64 x) n) | |
| 65.98% | (/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n) | |
| 43.92% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 26.03% | (/.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))) | |
| ✓ | 95.35% | (/.f64 x n) |
| 59.43% | (/.f64 1 (*.f64 x n)) | |
| 63.54% | (-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n)) | |
| 63.58% | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 60.66% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) | |
| 60.53% | (-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) | |
| 63.81% | (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) | |
| ✓ | 65.22% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| ✓ | 60.57% | (-.f64 1 1) |
| 60.2% | (+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) | |
| 52.97% | (+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 50.45% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (fma.f64 3 (/.f64 (log1p.f64 x) n) (-.f64 (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (*.f64 (log.f64 x) (/.f64 3 n))))) | |
| 63.03% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (/.f64 3 x) n)) | |
| 41.95% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| 42.28% | (*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 44.74% | (*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) | |
| 25.29% | (*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1))) | |
| 27.24% | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) | |
| 65.21% | (*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
Compiled 649 to 456 computations (29.7% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4)))) n) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) |
(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n) |
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (pow.f64 x 1/3)))) n) |
(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n) |
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
(+.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(+.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 x) n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3) |
(/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) n) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (/.f64 3 x) n)) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 3 n)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(/.f64 (*.f64 3 (/.f64 (pow.f64 x (/.f64 3 n)) (*.f64 x n))) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 3 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(+.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 2) n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(/.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (fma.f64 3 (/.f64 (log1p.f64 x) n) (-.f64 (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (*.f64 (log.f64 x) (/.f64 3 n))))) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log1p.f64 x) 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
4 calls:
| 115.0ms | (/.f64 1 n) |
| 79.0ms | n |
| 54.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.29% | 2 | x |
| 1.26% | 3 | n |
| 16.1% | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.26% | 3 | (/.f64 1 n) |
Compiled 1466 to 805 computations (45.1% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001517189911646548 | 0.25693670101283583 |
| 0.0ms | -4.978050760447081e-9 | -6.320826082688752e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| Outputs |
|---|
(-.f64 1 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 41.0ms | n |
| 33.0ms | (/.f64 1 n) |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.29% | 2 | x |
| 1.36% | 4 | n |
| 1.36% | 3 | (/.f64 1 n) |
Compiled 190 to 107 computations (43.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0001517189911646548 | 0.25693670101283583 |
| 0.0ms | -797071.7140265813 | -4.978050760447081e-9 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
2 calls:
| 18.0ms | n |
| 17.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 19.97% | 2 | x |
| 10.44% | 3 | n |
Compiled 82 to 48 computations (41.5% saved)
| 2× | binary-search |
| 1× | predicate-failed |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 500.0ms | -2.309050736255788e-306 | 9.511496316826083e-252 |
| 51.0ms | -200881840.72879755 | -1.2545922561324907e-6 |
| 257.0ms | 274× | body | 1024 | infinite |
| 120.0ms | 632× | body | 256 | unsamplable |
| 43.0ms | 86× | body | 512 | infinite |
| 36.0ms | 55× | body | 1024 | valid |
| 34.0ms | 157× | body | 256 | infinite |
| 33.0ms | 19× | body | 2048 | valid |
| 17.0ms | 99× | body | 256 | valid |
| 7.0ms | 22× | body | 512 | valid |
Compiled 200 to 171 computations (14.5% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log1p.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 1 1) |
2 calls:
| 52.0ms | n |
| 20.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 21.11% | 3 | x |
| 35.24% | 10 | n |
Compiled 70 to 42 computations (40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 78.0ms | 4.1409881241797e+137 | 1.8717317803404445e+145 |
| 58.0ms | 1.7102215829529897e-8 | 0.8919070486889313 |
| 49.0ms | 75× | body | 2048 | valid |
| 47.0ms | 116× | body | 1024 | valid |
| 11.0ms | 56× | body | 256 | infinite |
| 10.0ms | 39× | body | 512 | valid |
| 10.0ms | 58× | body | 256 | valid |
| 3.0ms | 10× | body | 256 | unsamplable |
| 1.0ms | 4× | body | 512 | infinite |
Compiled 398 to 303 computations (23.9% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(/.f64 (log1p.f64 x) n) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) n) |
(-.f64 1 1) |
(/.f64 (/.f64 1 x) n) |
2 calls:
| 15.0ms | n |
| 14.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 53.77% | 2 | x |
| 44.1% | 3 | n |
Compiled 65 to 39 computations (40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 152.0ms | 6.140567463304854e-97 | 1.7831130145041627e-77 |
| 64.0ms | -200881840.72879755 | -1.2545922561324907e-6 |
| 95.0ms | 198× | body | 512 | valid |
| 47.0ms | 249× | body | 256 | unsamplable |
| 29.0ms | 86× | body | 256 | valid |
| 21.0ms | 44× | body | 1024 | valid |
| 12.0ms | 57× | body | 256 | infinite |
| 6.0ms | 8× | body | 2048 | valid |
Compiled 314 to 267 computations (15% saved)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x n)) |
(-.f64 1 1) |
(/.f64 1 (*.f64 x n)) |
2 calls:
| 9.0ms | n |
| 9.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 54.17% | 2 | x |
| 44.55% | 3 | n |
Compiled 19 to 13 computations (31.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 169.0ms | 6.140567463304854e-97 | 1.7831130145041627e-77 |
| 51.0ms | -200881840.72879755 | -1.2545922561324907e-6 |
| 96.0ms | 195× | body | 512 | valid |
| 57.0ms | 305× | body | 256 | unsamplable |
| 25.0ms | 48× | body | 1024 | valid |
| 20.0ms | 82× | body | 256 | infinite |
| 16.0ms | 93× | body | 256 | valid |
| 1.0ms | 1× | body | 512 | infinite |
Compiled 314 to 267 computations (15% saved)
Total -22.8b remaining (-58.9%)
Threshold costs -22.8b (-58.9%)
| Inputs |
|---|
(-.f64 1 1) |
(/.f64 x n) |
| Outputs |
|---|
(-.f64 1 1) |
2 calls:
| 3.0ms | x |
| 3.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 60.57% | 1 | x |
| 60.57% | 1 | n |
Compiled 14 to 10 computations (28.6% saved)
| 1× | egg-herbie |
| 18× | +-commutative |
| 16× | sub-neg |
| 12× | *-commutative |
| 10× | neg-mul-1 |
| 10× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 357 |
| 1 | 88 | 357 |
| 2 | 101 | 357 |
| 3 | 113 | 357 |
| 4 | 118 | 357 |
| 5 | 119 | 357 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -4835703278458517/1208925819614629174706176) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -500000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -4278419646001971/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (-.f64 1 1) (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 18499999999999999659477147163566269855631182374588328876761174840950980679829998544649043301665334461400098712186785807510900060748211932209610752) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (-.f64 1 1))) |
(if (<=.f64 n -37/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4562960586989249/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -8782019273372467/1125899906842624) (/.f64 1 (*.f64 x n)) (if (<=.f64 n 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (-.f64 1 1) (/.f64 1 (*.f64 x n)))) |
(-.f64 1 1) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -4835703278458517/1208925819614629174706176) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -4835703278458517/1208925819614629174706176) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -500000) (-.f64 1 1) (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -500000) 0 (if (<=.f64 (/.f64 1 n) 7378697629483821/36893488147419103232) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -4278419646001971/562949953421312) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856) (-.f64 1 1) (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(if (or (<=.f64 n -4278419646001971/562949953421312) (not (<=.f64 n -6325070415853457/3162535207926728411757739792483082922649322652564720599326583719178599055749927295186880995334955070237298091629950186115465761521653023076047084374074039217523709754321349396319795433470206505331871369976136641696281366928510823415907864932018118067825157133005605774255209603362976602065411367322593847864182933454585856))) (/.f64 (log1p.f64 (/.f64 1 x)) n) 0) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 18499999999999999659477147163566269855631182374588328876761174840950980679829998544649043301665334461400098712186785807510900060748211932209610752) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (-.f64 1 1))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 18499999999999999659477147163566269855631182374588328876761174840950980679829998544649043301665334461400098712186785807510900060748211932209610752) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) 0)) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 18499999999999999659477147163566269855631182374588328876761174840950980679829998544649043301665334461400098712186785807510900060748211932209610752) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n) 0)) |
(if (<=.f64 n -37/2) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 4562960586989249/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128) (-.f64 1 1) (/.f64 (/.f64 1 x) n))) |
(if (or (<=.f64 n -37/2) (not (<=.f64 n 4562960586989249/260740604970814219042361048116400404614587954389239840081425977517360806369707098391474864128))) (/.f64 (/.f64 1 x) n) 0) |
(if (<=.f64 n -8782019273372467/1125899906842624) (/.f64 1 (*.f64 x n)) (if (<=.f64 n 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216) (-.f64 1 1) (/.f64 1 (*.f64 x n)))) |
(if (or (<=.f64 n -8782019273372467/1125899906842624) (not (<=.f64 n 8202190217936295/34175792574734561318320347298712833833643272357706444319152665725155515612490248800367393390985216))) (/.f64 1 (*.f64 n x)) 0) |
(-.f64 1 1) |
0 |
Compiled 150 to 114 computations (24% saved)
| 4× | egg-herbie |
| 1564× | associate-/r* |
| 1382× | associate-*r/ |
| 1134× | associate-+r+ |
| 1092× | associate-/l* |
| 1052× | associate-+l+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 13248 |
| 1 | 1288 | 12594 |
| 2 | 5562 | 12586 |
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 0 | 163 | 1982 |
| 1 | 389 | 1938 |
| 2 | 1875 | 1938 |
| 0 | 456 | 9239 |
| 1 | 1179 | 7669 |
| 2 | 4622 | 7669 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 242 to 173 computations (28.5% saved)
Compiled 138 to 102 computations (26.1% saved)
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