Time bar (total: 21.9s)
| 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)
| 2.2s | 2756× | body | 1024 | valid |
| 1.7s | 1785× | body | 2048 | valid |
| 1.3s | 1484× | body | 1024 | invalid |
| 631.0ms | 765× | body | 512 | invalid |
| 577.0ms | 1250× | body | 512 | valid |
| 568.0ms | 2465× | body | 256 | valid |
| 220.0ms | 832× | body | 256 | infinite |
| 181.0ms | 178× | body | 1024 | infinite |
| 178.0ms | 1336× | body | 256 | invalid |
| 151.0ms | 228× | body | 512 | infinite |
| 87.0ms | 341× | body | 256 | unsamplable |
| 5.0ms | 5× | 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 |
|---|---|---|
| ▶ | 34.0b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| ✓ | 0.1b | (pow.f64 x (/.f64 1 n)) |
| ✓ | 3.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 36 to 24 computations (33.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 18.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 7.0ms | x | @ | inf | (pow.f64 x (/.f64 1 n)) |
| 2.0ms | 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 | 69 |
| 1 | 227 | 61 |
| 2 | 3106 | 61 |
| 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)) |
(pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| Outputs |
|---|
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((#(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 1 (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) |
| 1× | egg-herbie |
| 1078× | associate-+l- |
| 1038× | associate--r+ |
| 1008× | associate-+r- |
| 636× | fma-def |
| 480× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 15190 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 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)))))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.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)))) |
(+.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 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.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)))) |
(+.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))))) |
(+.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)))))) |
(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 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.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)))) |
(+.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))))) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
1 |
(+.f64 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 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 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 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 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 1 (+.f64 (/.f64 (log.f64 (+.f64 1 x)) n) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 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)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (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))) (+.f64 (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))) (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))) (+.f64 (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))) (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))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (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))) (+.f64 (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))) (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))) (+.f64 (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))) (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))) (+.f64 (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (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))) (+.f64 (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))) (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))) (+.f64 (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))) (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))) (*.f64 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))) (*.f64 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))) (*.f64 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))) (*.f64 (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1))) 1)) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (*.f64 (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))) 1)) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (*.f64 (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))) 1)) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 (neg.f64 (pow.f64 x (pow.f64 n -1))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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 (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)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (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)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))) 1) |
(*.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1) |
(*.f64 (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 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) |
(*.f64 (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 (pow.f64 (+.f64 x 1) (/.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 (-.f64 (pow.f64 (+.f64 x 1) (/.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 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))) |
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))) |
(*.f64 (/.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 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 (pow.f64 1 (pow.f64 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))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (-.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 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)))))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))) 3))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))) (-.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1))) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 1 (/.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 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) |
(/.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (/.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 (pow.f64 n -1))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.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 (*.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 (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.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 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (/.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 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
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(/.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) |
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(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))))) |
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(*.f64 1 (pow.f64 x (pow.f64 n -1))) |
(*.f64 (pow.f64 x (pow.f64 n -1)) 1) |
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(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) |
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(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) |
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(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
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(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)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
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(sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
| 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 (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 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (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)) |
(+.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 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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)))) |
(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) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/3 n)) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(+.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))))) |
(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) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (/.f64 (pow.f64 x 4) (-.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 (-.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/3 n)) (pow.f64 x 3)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (pow.f64 x 4) (+.f64 (/.f64 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))))))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (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 (*.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 (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)))) |
(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 (*.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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n))) (+.f64 (/.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 (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (pow.f64 (log1p.f64 x) 3)) (pow.f64 n 3))) (/.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))))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (pow.f64 (log1p.f64 x) 3)) (pow.f64 n 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)))))) |
(-.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 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) (/.f64 (log.f64 x) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.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 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) (+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 (fma.f64 1/24 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 (*.f64 1/6 (pow.f64 (log1p.f64 x) 3)) (pow.f64 n 3))) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))))) |
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(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 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
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(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)) |
(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) |
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1 |
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
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(+.f64 1 (+.f64 (/.f64 (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)))))) |
1 |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
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(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)) |
(+.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))) |
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(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 1 (/.f64 (log1p.f64 x) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (/.f64 (log1p.f64 x) n))) |
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n))) |
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(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) |
1 |
(+.f64 1 (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 1 (/.f64 (log1p.f64 x) n)) |
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(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)))) |
(+.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.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)) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 1 (pow.f64 n -1))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) |
(pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 n))) |
(pow.f64 (+.f64 1 x) (/.f64 1 n)) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (pow.f64 1 (pow.f64 n -1)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1)) (pow.f64 (hypot.f64 1 (sqrt.f64 x)) (pow.f64 n -1))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) (*.f64 2 (/.f64 1 n))) |
(pow.f64 (hypot.f64 1 (sqrt.f64 x)) (/.f64 2 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) |
(sqrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) |
(cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 11673 to 7327 computations (37.2% saved)
24 alts after pruning (24 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 294 | 24 | 318 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 295 | 24 | 319 |
| Status | Error | Program |
|---|---|---|
| 24.0b | (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))))) | |
| 43.5b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) | |
| 43.5b | (/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.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 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))) | |
| 43.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (*.f64 (+.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)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| ▶ | 43.5b | (/.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))))) |
| 43.5b | (/.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)))) | |
| 43.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.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 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 20.5b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| ▶ | 20.5b | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 43.5b | (/.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)))))) | |
| 28.7b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ▶ | 33.4b | (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
| ▶ | 49.8b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 27.3b | (-.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)))) | |
| 50.0b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 55.9b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) | |
| 26.0b | (-.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))))) | |
| 33.4b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ▶ | 35.3b | (+.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))))))) |
| 33.7b | (+.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))) | |
| 24.9b | (+.f64 (-.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 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) | |
| 36.3b | (+.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 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) | |
| 43.5b | (*.f64 (/.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)))) | |
| 34.0b | (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))) |
Compiled 1744 to 1190 computations (31.8% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| ✓ | 2.6b | (log.f64 (+.f64 1 x)) |
| ✓ | 2.9b | (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
Compiled 30 to 18 computations (40% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | n | @ | 0 | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 9.0ms | n | @ | inf | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1628× | associate-*r/ |
| 1526× | associate-/r* |
| 1188× | associate-*l/ |
| 1136× | *-commutative |
| 242× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 41 |
| 1 | 233 | 41 |
| 2 | 3244 | 41 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) |
(log.f64 (+.f64 1 x)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1388× | associate-+l- |
| 1160× | associate-+r- |
| 884× | associate--r+ |
| 704× | associate--l+ |
| 596× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 7806 |
| 1 | 1155 | 7362 |
| 2 | 5522 | 7358 |
| 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))))) |
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.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 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.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))))) |
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(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1) |
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (-.f64 1 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1) |
(*.f64 1 (log1p.f64 x)) |
(*.f64 (log1p.f64 x) 1) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (log1p.f64 x) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3) |
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 x) 2)) |
(cbrt.f64 (pow.f64 (log1p.f64 x) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 x))) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(+.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 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 (-.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))) |
(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 1 x) 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)))) |
(+.f64 (fma.f64 -1/2 (*.f64 x x) 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) (+.f64 (fma.f64 -1/2 (*.f64 x x) 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 (/.f64 1 x) (/.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)))) |
(-.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 (/.f64 1 x) (/.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)))) |
(-.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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))))) |
x |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) |
(fma.f64 -1/2 (*.f64 x x) x) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) x)) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/4 (pow.f64 x 4)) x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/4 (pow.f64 x 4) x))) |
(fma.f64 -1/2 (*.f64 x x) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 (pow.f64 x 4) -1/4 x))) |
(*.f64 -1 (log.f64 (/.f64 1 x))) |
(neg.f64 (neg.f64 (log.f64 x))) |
(log.f64 x) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) |
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) |
(+.f64 (log.f64 x) (/.f64 1 x)) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 1 x)) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (log.f64 x) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (neg.f64 (log.f64 x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (+.f64 (log.f64 x) (/.f64 -1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (+.f64 (log.f64 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 (/.f64 1/2 x) x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) |
(-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) |
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) |
(fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) |
(-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) |
(-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (/.f64 1 x))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (/.f64 1 x) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (+.f64 (/.f64 1 x) (log.f64 -1)) (log.f64 (/.f64 -1 x))) (/.f64 -1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (+.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (log.f64 -1))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x))))) |
(+.f64 (-.f64 (log.f64 -1) (-.f64 (log.f64 (/.f64 -1 x)) (/.f64 1 x))) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) |
(*.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 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (/.f64 (*.f64 x x) (/.f64 n -1/2)))) |
(+.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))))) |
(+.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))) |
(/.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 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (log.f64 x)) (log.f64 x)) |
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(/.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 (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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.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 (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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(/.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)))))) |
(/.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(fabs.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log.f64 (/.f64 (+.f64 1 x) x)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 1 x) x) 1))) |
(log1p.f64 (+.f64 (/.f64 (+.f64 x 1) x) -1)) |
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 x 1) x))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(log1p.f64 (-.f64 (/.f64 (+.f64 1 x) x) 1)) |
(log1p.f64 (+.f64 (/.f64 (+.f64 x 1) x) -1)) |
(log1p.f64 (+.f64 -1 (/.f64 (+.f64 x 1) x))) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(+.f64 (log1p.f64 x) 0) |
(log1p.f64 x) |
(+.f64 0 (log1p.f64 x)) |
(log1p.f64 x) |
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (log.f64 (cbrt.f64 (+.f64 1 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (+.f64 x 1)))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(*.f64 3 (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 1 x)))) |
(*.f64 2 (log.f64 (sqrt.f64 (+.f64 x 1)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (-.f64 (*.f64 x x) x) 1))) |
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))) |
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 x))) 1) |
(log1p.f64 x) |
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1)))) |
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (+.f64 (-.f64 (*.f64 x x) x) 1))) |
(-.f64 (log1p.f64 (pow.f64 x 3)) (log.f64 (fma.f64 x x (-.f64 1 x)))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (-.f64 1 x))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (log.f64 (-.f64 1 x))) |
(-.f64 (log1p.f64 (*.f64 x (neg.f64 x))) (log1p.f64 (neg.f64 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 x)))) 1) |
(log1p.f64 x) |
(*.f64 1 (log1p.f64 x)) |
(log1p.f64 x) |
(*.f64 (log1p.f64 x) 1) |
(log1p.f64 x) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(*.f64 (cbrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 (log1p.f64 x)) 2)) |
(log1p.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(pow.f64 (log1p.f64 x) 1) |
(log1p.f64 x) |
(pow.f64 (sqrt.f64 (log1p.f64 x)) 2) |
(log1p.f64 x) |
(pow.f64 (cbrt.f64 (log1p.f64 x)) 3) |
(log1p.f64 x) |
(pow.f64 (pow.f64 (log1p.f64 x) 3) 1/3) |
(log1p.f64 x) |
(sqrt.f64 (pow.f64 (log1p.f64 x) 2)) |
(fabs.f64 (log1p.f64 x)) |
(cbrt.f64 (pow.f64 (log1p.f64 x) 3)) |
(log1p.f64 x) |
(expm1.f64 (log1p.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(exp.f64 (log.f64 (log1p.f64 x))) |
(log1p.f64 x) |
(log1p.f64 x) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 (log1p.f64 x) (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)) n) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 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 (-.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 (-.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 (-.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))) |
(*.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 (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 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.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) (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) 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)) (sqrt.f64 n)) (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)) (/.f64 1 (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 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.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 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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 (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 (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 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) (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 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (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 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (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) (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 1 x) 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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) | |
| ✓ | 3.5b | (-.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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(/.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 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))) |
(+.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))))) |
(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) (fma.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x) (*.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))) (pow.f64 x 4))))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (*.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))) (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) (/.f64 x n))) |
(+.f64 (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))) (*.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4))) |
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) |
(expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
(-.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 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))) |
(-.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 (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)) (expm1.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
(+.f64 (+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n))) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x x))))) |
(-.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 (/.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 (+.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.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))))))) 1)) |
(+.f64 (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))))) (+.f64 (expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (/.f64 (exp.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)))) |
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(/.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 |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (/.f64 (log1p.f64 x) n)) |
| ✓ | 0.1b | (pow.f64 x (pow.f64 n -1)) |
| ✓ | 0.2b | (/.f64 (log1p.f64 x) n) |
| ✓ | 3.6b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
Compiled 64 to 30 computations (53.1% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
| 1.0ms | x | @ | -inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
| 0.0ms | x | @ | 0 | (pow.f64 x (pow.f64 n -1)) |
| 0.0ms | n | @ | -inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
| 0.0ms | n | @ | inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
| 1× | batch-egg-rewrite |
| 1174× | associate-*r/ |
| 890× | associate-*l/ |
| 804× | associate-/r* |
| 688× | associate-/l* |
| 524× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 72 |
| 1 | 259 | 72 |
| 2 | 3345 | 72 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 x (pow.f64 n -1)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
| Outputs |
|---|
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(pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 1 n)))))) (#(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 (/.f64 1 n))) (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 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n)))))) (#(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 (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n)))))))) (#(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 (/.f64 1 n))))))) (#(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 (/.f64 1 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 x 1) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))))) |
| 1× | egg-herbie |
| 938× | fma-def |
| 606× | +-commutative |
| 550× | associate-*r* |
| 524× | associate-/l* |
| 468× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 653 | 17751 |
| 1 | 1795 | 16583 |
| 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 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 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))))) |
(/.f64 x n) |
(+.f64 (/.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 -1/2 (/.f64 (pow.f64 x 2) n)))) |
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(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
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(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.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 (/.f64 1 (*.f64 n x)) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) |
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 1 (*.f64 n x)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 (log.f64 -1) n) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.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 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (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)) |
(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))))) |
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1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
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1 |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.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)))) |
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(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 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
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1 |
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1 |
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(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (*.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (+.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (+.f64 (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (-.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 (/.f64 1 n)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)) |
(expm1.f64 (log1p.f64 (-.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 (/.f64 1 n))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)) |
(log1p.f64 (expm1.f64 (-.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 (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) 0) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 0 (/.f64 (log1p.f64 x) n)) |
(+.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 (log1p.f64 x) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 x) n) 1) |
(*.f64 (/.f64 1 n) (log1p.f64 x)) |
(*.f64 1 (/.f64 (log1p.f64 x) n)) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) n)) |
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 n)) |
(*.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 (/.f64 1 n))) |
(*.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (pow.f64 n -1/2)) |
(*.f64 (/.f64 -1 n) (neg.f64 (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) n) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (/.f64 (log1p.f64 x) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3) |
(pow.f64 (/.f64 n (log1p.f64 x)) -1) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 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 (/.f64 1 n)))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))) |
(*.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 (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(pow.f64 (+.f64 x 1) (/.f64 1 n)) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 1) (/.f64 (log1p.f64 x) n)) |
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
| 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 x n) (-.f64 (+.f64 1 (*.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 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (/.f64 x n) (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 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3))) (/.f64 1/2 (*.f64 n n))) (pow.f64 x 3) (+.f64 (/.f64 x n) (+.f64 1 (*.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 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.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 (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)))) |
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1 |
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1 |
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1 |
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1 |
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1 |
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(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (/.f64 n (log1p.f64 x)) -1) |
(/.f64 (log1p.f64 x) n) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n))) |
(/.f64 (log1p.f64 x) n) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) |
(fabs.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (log1p.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3)) |
(/.f64 (log1p.f64 x) n) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3)))) |
(/.f64 (log1p.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(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 (/.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 (/.f64 1 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 1 n)) (pow.f64 (sqrt.f64 x) (/.f64 1 n))) |
(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) (/.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 (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (+.f64 x 1) (/.f64 1 n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (exp.f64 1) (/.f64 (log1p.f64 x) n)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(sqrt.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x (/.f64 3 n)) |
| ✓ | 0.7b | (/.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))))) |
| ✓ | 3.6b | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| ✓ | 12.9b | (pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
Compiled 142 to 87 computations (38.7% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | n | @ | -inf | (/.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))))) |
| 7.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 6.0ms | x | @ | -inf | (/.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))))) |
| 6.0ms | x | @ | inf | (/.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))))) |
| 3.0ms | x | @ | 0 | (/.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))))) |
| 1× | batch-egg-rewrite |
| 542× | add-sqr-sqrt |
| 526× | *-un-lft-identity |
| 516× | pow1 |
| 504× | add-exp-log |
| 504× | add-cbrt-cube |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 22 | 176 |
| 1 | 517 | 176 |
| 2 | 7467 | 176 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(/.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))))) |
(pow.f64 x (/.f64 3 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 (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 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (neg.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (*.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 n))) 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 (*.f64 (neg.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 3 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 3 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (/.f64 3 n)) (pow.f64 (sqrt.f64 x) (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 3 n)) (pow.f64 (cbrt.f64 x) (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x (*.f64 2 (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 3 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x (*.f64 (/.f64 3 n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 x (/.f64 3 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 3 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 3 n)))))))) |
| 1× | egg-herbie |
| 1016× | +-commutative |
| 970× | associate-/l* |
| 886× | associate-*r* |
| 876× | *-commutative |
| 804× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 875 | 33701 |
| 1 | 2757 | 32755 |
| 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 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x 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 (/.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))) |
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(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))) |
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(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 |
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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 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (-.f64 (pow.f64 x (*.f64 2 (/.f64 2 n))) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) 2))) (-.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (*.f64 (/.f64 2 n) 3)) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) 3))) (+.f64 (pow.f64 x (*.f64 2 (/.f64 2 n))) (*.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (-.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (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)))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) 2))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 2)) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 2)) (cbrt.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) 2))) (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) 3) 1/3) |
(pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 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 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 3 n)))) 1) |
(*.f64 1 (pow.f64 x (/.f64 3 n))) |
(*.f64 (pow.f64 x (/.f64 3 n)) 1) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (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)) |
(*.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 (log.f64 (pow.f64 x (/.f64 3 n)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 x (/.f64 3 n))) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) 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 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 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) 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 (*.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 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) n) x) (*.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 (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)) (*.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 (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 (*.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))) |
(+.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)) (*.f64 x x)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (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 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (*.f64 x x) (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)) (+.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 x n)) (fma.f64 -1 (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.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 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n))))))) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x 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 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n 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 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n 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 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n))))) |
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(fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) (+.f64 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)))))) |
(-.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 (+.f64 1 (*.f64 3 (/.f64 x n))) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 3 (/.f64 x n)) (-.f64 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)))) |
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(-.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 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)))) |
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(*.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 x 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)))) |
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(+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)))) |
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(+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 9/2 (pow.f64 n 3)) (/.f64 -9/2 (*.f64 n n))))))) |
(+.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)))))) |
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(+.f64 (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 3)) (+.f64 (/.f64 1 n) (+.f64 (/.f64 9/2 (pow.f64 n 3)) (/.f64 -9/2 (*.f64 n n)))))) (+.f64 (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) (*.f64 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 4)) (-.f64 (+.f64 (/.f64 33/8 (*.f64 n n)) (-.f64 (/.f64 27/8 (pow.f64 n 4)) (/.f64 27/4 (pow.f64 n 3)))) (/.f64 3/4 n))))) |
(*.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 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))) |
(+.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))) |
(fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(+.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)))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (-.f64 (/.f64 9/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 9/2 (pow.f64 n 3))))) (pow.f64 x 3)) (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 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 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))))) |
(fma.f64 -1 (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 9/2 (pow.f64 n 3))) (pow.f64 x 3)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(+.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))))) |
(fma.f64 -1 (/.f64 (*.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (-.f64 (/.f64 9/2 (*.f64 n n)) (+.f64 (/.f64 1 n) (/.f64 9/2 (pow.f64 n 3))))) (pow.f64 x 3)) (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (+.f64 (/.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 3/2 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) (/.f64 (+.f64 (/.f64 27/8 (pow.f64 n 4)) (-.f64 (/.f64 33/8 (*.f64 n n)) (+.f64 (/.f64 27/4 (pow.f64 n 3)) (/.f64 3/4 n)))) (/.f64 (pow.f64 x 4) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))))) |
(+.f64 (fma.f64 -1 (*.f64 (/.f64 (-.f64 (-.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 1 n)) (/.f64 9/2 (pow.f64 n 3))) (pow.f64 x 3)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (fma.f64 3 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (*.f64 (/.f64 (+.f64 (/.f64 9/2 (*.f64 n n)) (/.f64 -3/2 n)) (*.f64 x x)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) (*.f64 (/.f64 (-.f64 (+.f64 (/.f64 33/8 (*.f64 n n)) (-.f64 (/.f64 27/8 (pow.f64 n 4)) (/.f64 27/4 (pow.f64 n 3)))) (/.f64 3/4 n)) (pow.f64 x 4)) (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 3 n))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 3 n))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 3 n))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 (pow.f64 (exp.f64 3) (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 3 n))) |
(/.f64 (-.f64 (*.f64 3 (log.f64 (+.f64 1 x))) (*.f64 3 (log.f64 x))) n) |
(/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n) |
(/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.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)))) |
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(-.f64 (fma.f64 -1 (/.f64 (-.f64 (*.f64 1/3 (*.f64 -9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 1/3 (*.f64 (fma.f64 -2 (log1p.f64 x) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) -2))) (+.f64 (*.f64 1/3 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 -1/9 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log1p.f64 x) (log.f64 x)))))))) (*.f64 1/9 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 2 (pow.f64 (log.f64 x) 2) (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)))))))) (pow.f64 n 3)) (fma.f64 1/3 (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)) (fma.f64 -1/3 (/.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (*.f64 1/3 (/.f64 (*.f64 27/8 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (pow.f64 n 4)))))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 1/3 (*.f64 -9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 1/9 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (fma.f64 2 (pow.f64 (log.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2))))) (*.f64 1/3 (*.f64 (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (*.f64 1/3 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 -1/9 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 -2 (log1p.f64 x) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) -2)))))))))) (/.f64 (pow.f64 n 4) (fma.f64 -2 (log1p.f64 x) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) -2))))) (fma.f64 1/3 (/.f64 (fma.f64 2 (pow.f64 (log.f64 x) 2) (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)))) (/.f64 (pow.f64 n 4) (+.f64 (*.f64 1/3 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 -1/9 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log1p.f64 x) (log.f64 x))))))))) (*.f64 1/9 (+.f64 (/.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (*.f64 n n) (fma.f64 -2 (log1p.f64 x) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 (log.f64 x) -2))))) (/.f64 (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 -4/3 (pow.f64 (log1p.f64 x) 3) (fma.f64 -4/3 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) -1/6)))) (pow.f64 n 4))))))) |
(-.f64 (+.f64 (fma.f64 -1 (/.f64 (-.f64 (*.f64 -3/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (fma.f64 1/3 (*.f64 (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))) (+.f64 (*.f64 3/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (*.f64 -3 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))))) -1/9))) (*.f64 (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (fma.f64 2 (pow.f64 (log.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)))) (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/9)))) (pow.f64 n 3)) (+.f64 (/.f64 (*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (*.f64 3/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)))) (/.f64 (*.f64 9/8 (-.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 (log.f64 x) 4))) (pow.f64 n 4))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 -3/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (fma.f64 1/3 (*.f64 (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))) (+.f64 (*.f64 3/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (*.f64 -3 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))))) -1/9))) (*.f64 (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (fma.f64 2 (pow.f64 (log.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)))) (*.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) 1/9)))) (/.f64 (pow.f64 n 4) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))))) (fma.f64 1/3 (/.f64 (fma.f64 2 (pow.f64 (log1p.f64 x) 2) (fma.f64 2 (pow.f64 (log.f64 x) 2) (*.f64 1/2 (pow.f64 (log.f64 (fma.f64 x x x)) 2)))) (/.f64 (pow.f64 n 4) (+.f64 (*.f64 3/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (*.f64 -3 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x)))))) -1/9)))) (*.f64 1/9 (+.f64 (*.f64 (/.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) (fma.f64 -1 (log.f64 (fma.f64 x x x)) (*.f64 -2 (+.f64 (log.f64 x) (log1p.f64 x))))) (*.f64 (/.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 n 4)) (fma.f64 -4/3 (pow.f64 (log1p.f64 x) 3) (fma.f64 -4/3 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) -1/6))))))))) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 3) (/.f64 (fma.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))) |
(pow.f64 (exp.f64 3) (/.f64 (fma.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))) |
(pow.f64 (exp.f64 3) (/.f64 (fma.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))) |
(pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
(exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)) |
(pow.f64 x (/.f64 3 n)) |
1 |
(+.f64 1 (*.f64 3 (/.f64 (log.f64 x) n))) |
(+.f64 1 (*.f64 (/.f64 (log.f64 x) n) 3)) |
(+.f64 1 (*.f64 (log.f64 x) (/.f64 3 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 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) 3))) |
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (log.f64 x) (/.f64 3 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 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.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 (log.f64 x) n) 3)) |
(+.f64 1 (*.f64 (log.f64 x) (/.f64 3 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 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (/.f64 (log.f64 x) n) 3))) |
(+.f64 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (log.f64 x) (/.f64 3 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 1 (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.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) |
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
(*.f64 1 (pow.f64 (fma.f64 x x x) (/.f64 1 n))) |
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
(*.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) 1) |
(pow.f64 (fma.f64 x x x) (/.f64 1 n)) |
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(cbrt.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) 3)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 3) (pow.f64 (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) 3))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) 1)) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.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 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 x (/.f64 3 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 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 3) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 3 n))) 3) |
(*.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 (log.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 (log.f64 (pow.f64 x (/.f64 3 n))) 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 |
|---|---|---|
| ✓ | 5.3b | (+.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)))))) |
| ✓ | 5.8b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
| ✓ | 6.3b | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| ✓ | 12.2b | (*.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)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | 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)))))) |
| 3.0ms | 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))))) |
| 3.0ms | 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))))) |
| 1.0ms | 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 | x | @ | -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× | 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 | 292 |
| 1 | 722 | 292 |
| 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 (/.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)) (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 |
| 1240× | associate--l+ |
| 758× | fma-def |
| 738× | associate-/r* |
| 614× | associate-+r+ |
| 580× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 444 | 16450 |
| 1 | 1410 | 15712 |
| 2 | 6675 | 15706 |
| 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)) |
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(/.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 (*.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 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 1/3 (/.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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))) |
(*.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 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.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 (-.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) n) |
(-.f64 (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 3))) (/.f64 1/2 (*.f64 n (pow.f64 x 2))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))) n)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2))) (*.f64 1/3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 3))))))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (*.f64 1/3 (/.f64 1 (pow.f64 x 3)))) n)) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 x) (pow.f64 x 3))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 3)))))) (*.f64 1/6 (/.f64 1 (pow.f64 x 3)))) (pow.f64 n 3))))))) (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 3))))) |
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(+.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)))) |
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(+.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 x (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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)) x) (/.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 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 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) x) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (*.f64 x x)) |
(/.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (neg.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (neg.f64 (exp.f64 (/.f64 (log.f64 x) n)))) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) (neg.f64 x)) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) 1) x) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) |
(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)))) 1) |
(log.f64 (exp.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))))) |
(cbrt.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 (/.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))))))) |
(expm1.f64 (log1p.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))))) |
(exp.f64 (log.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) (/.f64 x (exp.f64 (/.f64 (log.f64 x) n)))))) |
(log1p.f64 (expm1.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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) |
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(/.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))))) |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.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 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))) |
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(/.f64 (*.f64 (neg.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x)) (neg.f64 x)) |
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(/.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) 1) x) |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.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 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))) |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
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(*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))) |
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(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) 1) |
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(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) |
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(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) x) (exp.f64 (/.f64 (log.f64 x) n))) (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) x) (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (+.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)))))) (-.f64 (*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) x) (exp.f64 (/.f64 (log.f64 x) n))) (*.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))))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))) 3) (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)) (fma.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))) (*.f64 (exp.f64 (/.f64 (log.f64 x) 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)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x)))) (pow.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x))) 2))) |
(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) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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 (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)))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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)))) |
(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))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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 (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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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)))) |
(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 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/3 n)) (/.f64 1/2 (*.f64 n n))))) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 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 (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)))) |
Compiled 78840 to 46903 computations (40.5% saved)
56 alts after pruning (55 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1453 | 43 | 1496 |
| Fresh | 7 | 12 | 19 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 1 | 4 |
| Total | 1464 | 56 | 1520 |
| Status | Error | Program |
|---|---|---|
| 24.0b | (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))))) | |
| 20.5b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 33.4b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) | |
| 20.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 20.8b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 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))))) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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))))) | |
| 43.5b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) | |
| 28.9b | (/.f64 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 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))))) | |
| 37.4b | (/.f64 (/.f64 1 x) n) | |
| 43.5b | (/.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)))) | |
| 43.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.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 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 38.3b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) | |
| 38.0b | (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) | |
| 20.5b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| 40.5b | (/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) | |
| 41.4b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 43.5b | (/.f64 (-.f64 1 (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))))) | |
| 43.3b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) (/.f64 n 2)))))) | |
| 38.3b | (/.f64 (+.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))))) n) | |
| 30.1b | (/.f64 (+.f64 (*.f64 3 (/.f64 (log1p.f64 x) n)) (-.f64 (/.f64 9/2 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 (log.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))))) | |
| 43.4b | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 6 n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 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))))) | |
| 43.4b | (/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (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))))) | |
| 41.3b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ▶ | 20.4b | (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
| ▶ | 20.8b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 28.7b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 20.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ▶ | 60.9b | (/.f64 x n) |
| 33.4b | (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))) | |
| 20.5b | (/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) | |
| 42.9b | (/.f64 1 (/.f64 1 (/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) n))) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) | |
| 26.0b | (/.f64 1 (/.f64 1 (-.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))))))) | |
| 43.3b | (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) | |
| 30.0b | (/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))))) | |
| 33.4b | (/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) | |
| 38.3b | (/.f64 1 (*.f64 x n)) | |
| ✓ | 49.8b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 41.4b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 39.2b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 50.0b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| ▶ | 55.9b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| 60.7b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) | |
| 26.0b | (-.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))))) | |
| 33.4b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 20.8b | (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) | |
| 20.6b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| 43.5b | (*.f64 (/.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)))) | |
| 20.5b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) | |
| 34.0b | (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))) | |
| ▶ | 38.7b | (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))))) |
| 38.7b | (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 n (*.f64 x (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))))) | |
| 20.6b | (*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| 60.2b | (expm1.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 2729 to 1937 computations (29% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 1 x) x) |
| ✓ | 0.1b | (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
| ✓ | 3.0b | (log.f64 (/.f64 (+.f64 1 x) x)) |
Compiled 27 to 17 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | n | @ | 0 | (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 1 x) x) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 1 x) x)) |
| 1× | batch-egg-rewrite |
| 1478× | associate-*r/ |
| 1400× | associate-/r* |
| 1086× | associate-/l* |
| 1058× | associate-*l/ |
| 980× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 208 | 49 |
| 2 | 2792 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 1 x) x)) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (+.f64 1 x) x) |
| Outputs |
|---|
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((#(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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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 1 x) x) (/.f64 1 n)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 x) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 x) (/.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (sqrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 x) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) x) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (+.f64 (-.f64 1 (*.f64 x x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.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 neg.f64 (/.f64 (+.f64 1 x) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) 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 1 x) x))))))) |
| 1× | egg-herbie |
| 1516× | associate-/r* |
| 774× | associate-+l+ |
| 706× | associate-+r+ |
| 630× | +-commutative |
| 536× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5099 |
| 1 | 961 | 4717 |
| 2 | 3935 | 4705 |
| 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 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 (log1p.f64 x) (log.f64 (/.f64 1 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 x))) (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 1 x))) (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 0 (log.f64 (/.f64 x (+.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log.f64 (-.f64 1 x)) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (-.f64 (log.f64 (-.f64 1 x)) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (-.f64 1 (*.f64 x x))) (+.f64 (log.f64 (-.f64 1 x)) (log.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (-.f64 (*.f64 x x) (-.f64 x 1))) (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 (log.f64 x) (log1p.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (log1p.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 1 x)))) |
(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 1 x) 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) (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 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (/.f64 x (+.f64 1 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 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)) (sqrt.f64 n)) (/.f64 1 (sqrt.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) (log.f64 (/.f64 x (+.f64 1 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)))) |
(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 1 x) 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 1 x) x))) 1) |
(*.f64 1 (/.f64 (+.f64 1 x) x)) |
(*.f64 (+.f64 1 x) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 x) x) 1) |
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x))) |
(*.f64 (/.f64 1 x) (+.f64 1 x)) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (sqrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 1 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 1 x) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) x) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (+.f64 (-.f64 1 (*.f64 x x)) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) |
(pow.f64 (/.f64 (+.f64 1 x) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (/.f64 x (+.f64 1 x)) -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 1 x) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 1 x) 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)) |
(+.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))) |
(/.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)))) |
(-.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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 1/2 (*.f64 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 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (neg.f64 (/.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 (*.f64 x x) n)) (/.f64 (log.f64 x) n))) |
(-.f64 (*.f64 -1/2 (*.f64 (/.f64 x n) x)) (-.f64 (/.f64 (log.f64 x) n) (/.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))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 (*.f64 x x) n)) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 x n) x)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (/.f64 (log.f64 x) n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 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 (/.f64 1 n) x) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.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 (/.f64 1 n) x) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 1/2 (*.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 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) 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 (/.f64 1 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 (/.f64 1 n) x) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.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 (/.f64 1 n) x) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 (/.f64 1/2 (*.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 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 (/.f64 1/2 (*.f64 x x)) n) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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)) |
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(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) 1) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) 1) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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 (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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) 1) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) 1) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (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 (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 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (sqrt.f64 n) (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 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (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))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(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 1 x) 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) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) 1) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 1 (/.f64 (+.f64 1 x) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (+.f64 1 x) (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 1 x) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) (sqrt.f64 (/.f64 (+.f64 1 x) x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 (cbrt.f64 (+.f64 1 x)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (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 (pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 2) (cbrt.f64 (/.f64 (+.f64 1 x) x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 x) (+.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (sqrt.f64 (+.f64 1 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) x) (/.f64 (sqrt.f64 (+.f64 1 x)) 1)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 1 x)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 1 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (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 1 x) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 1 x) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (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 1 x) (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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.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 (sqrt.f64 (+.f64 1 x)) 1) (/.f64 (sqrt.f64 (+.f64 1 x)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 x)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 1 x)) (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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) 1) (/.f64 (cbrt.f64 (+.f64 1 x)) x)) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 1 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (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 1 x)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (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 1 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 1 x) x))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (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 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) x) (cbrt.f64 (+.f64 1 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 1 x)) 2))) (cbrt.f64 (+.f64 1 x))) |
(+.f64 1 (/.f64 1 x)) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (*.f64 x x))) (+.f64 1 x)) |
(*.f64 (+.f64 x 1) (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (*.f64 x x)) x))) |
(*.f64 (+.f64 x 1) (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (*.f64 x x)))) |
(/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (/.f64 (-.f64 1 (*.f64 x x)) (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 (-.f64 1 (*.f64 x x)) x) (-.f64 1 (pow.f64 x 3))) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.f64 (-.f64 1 (pow.f64 x 3)) x)) (+.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (-.f64 1 (*.f64 x x)) (*.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 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (+.f64 (-.f64 1 (*.f64 x x)) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)))) (+.f64 x (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (-.f64 (*.f64 x x) x)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)) x)) (+.f64 1 (+.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 x x)) x))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3))) (+.f64 1 (+.f64 x (-.f64 (*.f64 (-.f64 (*.f64 x x) x) (-.f64 (*.f64 x x) x)) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 1 (*.f64 (-.f64 (*.f64 x x) x) (+.f64 (-.f64 (*.f64 x x) x) -1))) (+.f64 (pow.f64 x 3) 1)) (*.f64 x (+.f64 1 (pow.f64 (-.f64 (*.f64 x x) x) 3)))) |
(pow.f64 (/.f64 (+.f64 1 x) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 1 x) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 1 x) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3) 1/3) |
(+.f64 1 (/.f64 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 1 x)) -1) |
(+.f64 1 (/.f64 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 1 x) (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 1 x) x) 2)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(fabs.f64 (+.f64 1 (/.f64 1 x))) |
(log.f64 (exp.f64 (/.f64 (+.f64 1 x) x))) |
(+.f64 1 (/.f64 1 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 1 x) x)))) |
(+.f64 1 (/.f64 1 x)) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 1 x) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 1 x) x))) |
(+.f64 1 (/.f64 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 1 x) x))) |
(+.f64 1 (/.f64 1 x)) |
Compiled 7 to 3 computations (57.1% saved)
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/2 (*.f64 n n)) |
| ✓ | 2.4b | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| ✓ | 4.2b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| ✓ | 7.6b | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
Compiled 102 to 51 computations (50% saved)
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
| 0.0ms | n | @ | inf | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| 0.0ms | n | @ | -inf | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 960× | associate-+l+ |
| 538× | +-commutative |
| 450× | add-sqr-sqrt |
| 436× | *-un-lft-identity |
| 434× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 178 |
| 1 | 428 | 152 |
| 2 | 6574 | 152 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 1/2 (*.f64 n n)) |
| Outputs |
|---|
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(*.f64 x x) (+.f64 1 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) (+.f64 1 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) x) x (+.f64 1 (/.f64 x n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/2 (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (pow.f64 n -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 n n) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 1/8 (pow.f64 (pow.f64 n -2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/2 (pow.f64 n -2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 n -2)))))))) |
| 1× | egg-herbie |
| 1572× | associate--r+ |
| 932× | fma-def |
| 672× | associate-+r+ |
| 652× | +-commutative |
| 650× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 578 | 20611 |
| 1 | 1638 | 19245 |
| 2 | 7028 | 19239 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) 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 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(-.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 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 1/2 (/.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 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(-.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 -1 (/.f64 (log.f64 (/.f64 1 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 -1 (/.f64 (log.f64 (/.f64 1 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 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(-.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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) 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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (+.f64 (*.f64 -1/2 (pow.f64 x 2)) x) (log.f64 x)) n) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (/.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 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 -1 (log.f64 x))) n)) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 -1 (log.f64 x))) n)) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)) (*.f64 -1 (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 x 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.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)))) |
(+.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)))) |
(*.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 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.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)))) |
(+.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)))) |
(*.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 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.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)))) |
(+.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)))) |
(*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 x n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
1 |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
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(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) 1) |
(-.f64 (/.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) (/.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) |
(*.f64 1 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) |
(*.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1) |
(*.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
(*.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
(*.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (/.f64 1 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) |
(*.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n))))))) |
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))) (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n))))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3)) (+.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)) (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (+.f64 1 (/.f64 x n)) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n)) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)) (pow.f64 (+.f64 1 (/.f64 x n)) 2)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n)))) |
(/.f64 (-.f64 1 (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)))) (-.f64 1 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)))) |
(/.f64 (+.f64 1 (pow.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n))) (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4)))) (neg.f64 (+.f64 1 (-.f64 (/.f64 x n) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (-.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n))))))) |
(pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 1) |
(pow.f64 (sqrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 2) |
(pow.f64 (cbrt.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))) 3) |
(pow.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2)) |
(log.f64 (exp.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n)))))) |
(cbrt.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 3)) |
(expm1.f64 (log1p.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
(exp.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n)))) |
(exp.f64 (*.f64 (log1p.f64 (+.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (/.f64 x n))) 1)) |
(log1p.f64 (expm1.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))))) |
(fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) |
(fma.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (+.f64 1 (/.f64 x n))) |
(fma.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x)) (+.f64 1 (/.f64 x n))) |
(fma.f64 1 (+.f64 1 (/.f64 x n)) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) |
(fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (hypot.f64 1 (sqrt.f64 (/.f64 x n))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) |
(fma.f64 (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) (*.f64 x (sqrt.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n))) (+.f64 1 (/.f64 x n))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 x n))) 2) (cbrt.f64 (+.f64 1 (/.f64 x n))) (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) (+.f64 1 (/.f64 x n))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) x) x (+.f64 1 (/.f64 x n))) |
(-.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 (/.f64 1/2 n) (/.f64 1 n)) |
(*.f64 1 (*.f64 1/2 (pow.f64 n -2))) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 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 (pow.f64 n -2) 1/2) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n))) |
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n))) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -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 (pow.f64 (exp.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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) |
(/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)) |
(*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(*.f64 (*.f64 x x) (/.f64 -1/2 n)) |
(*.f64 x (/.f64 (*.f64 x -1/2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(*.f64 -1/2 (/.f64 (pow.f64 x 2) n)) |
(*.f64 (*.f64 x x) (/.f64 -1/2 n)) |
(*.f64 x (/.f64 (*.f64 x -1/2) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))) |
(fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) |
(fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (*.f64 x (/.f64 (*.f64 x -1/2) 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 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
(*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) |
(*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) |
(*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)) |
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1 |
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1 |
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1 |
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x))) (+.f64 1 (/.f64 x n))) |
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n) 2) (pow.f64 x 4))) (cbrt.f64 (*.f64 (*.f64 x x) (/.f64 (+.f64 (/.f64 1/2 n) -1/2) n))) (+.f64 1 (/.f64 x n))) |
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) 2)) (cbrt.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))) (+.f64 1 (/.f64 x n))) |
(fma.f64 (*.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) x) x (+.f64 1 (/.f64 x n))) |
(+.f64 (+.f64 1 (/.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 1/2 n)) (/.f64 n x)) x (+.f64 1 (/.f64 x n))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 n -2)))) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 1/2 (pow.f64 n -2)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 (*.f64 1/2 (pow.f64 n -2)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 1 (*.f64 1/2 (pow.f64 n -2))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(*.f64 (pow.f64 n -1/2) (/.f64 (/.f64 1/2 n) (sqrt.f64 n))) |
(*.f64 (pow.f64 n -1/2) (/.f64 1/2 (*.f64 (sqrt.f64 n) 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 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (pow.f64 n -2) 1/2) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(/.f64 -1/2 (*.f64 n (neg.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1/2 n) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 (/.f64 1 n) (sqrt.f64 n))) |
(*.f64 (/.f64 1/2 (sqrt.f64 n)) (/.f64 1 (*.f64 (sqrt.f64 n) n))) |
(/.f64 (/.f64 (/.f64 1/2 n) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) 1) (/.f64 (sqrt.f64 (/.f64 1/2 n)) n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 1/2 n)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (/.f64 1/2 n)) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 1/2 (*.f64 (cbrt.f64 n) n))) |
(/.f64 (/.f64 1/2 (*.f64 n (cbrt.f64 n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) 1) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (cbrt.f64 (*.f64 (pow.f64 n -2) 1/4)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) n)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 n -2) 1/4)) (sqrt.f64 n)) (/.f64 (cbrt.f64 (/.f64 1/2 n)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 n -2))) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (*.f64 1/2 (pow.f64 n -2)))) |
(*.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 n -2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 n -2) 1/4)) (pow.f64 (cbrt.f64 n) 2))) |
(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 (pow.f64 (exp.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 |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.1b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ✓ | 0.5b | (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| ✓ | 2.9b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 35 to 8 computations (77.1% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | n | @ | 0 | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 0.0ms | x | @ | inf | (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | n | @ | inf | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 0.0ms | n | @ | -inf | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 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 | 70 |
| 1 | 227 | 70 |
| 2 | 2805 | 70 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log.f64 x)) |
(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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(log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))))))) (#(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) (/.f64 1 n)))))) (#(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 log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))))) |
| 1× | egg-herbie |
| 758× | associate-*r* |
| 704× | associate-/l* |
| 660× | associate-*l* |
| 542× | +-commutative |
| 504× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 20232 |
| 1 | 1738 | 19820 |
| 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 (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)))) |
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(/.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 (+.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 (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))))) |
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(*.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 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (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))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (pow.f64 (cbrt.f64 n) 2)) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (log1p.f64 x) (log.f64 x)) n) |
(*.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 (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 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(*.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (*.f64 (pow.f64 (log.f64 x) 2) (+.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 (-.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 (log.f64 x) (log1p.f64 x))) 3)))) |
(*.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 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6)))) |
(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)) |
(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) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 1 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(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))))) |
(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)) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.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))))) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(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))) |
(log.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)) |
(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 |
|---|---|---|
| ✓ | 0.1b | (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))) |
| ✓ | 0.2b | (*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))))) |
| ✓ | 0.3b | (/.f64 (neg.f64 (log.f64 x)) n) |
| ✓ | 2.2b | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
Compiled 112 to 52 computations (53.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 82.0ms | x | @ | 0 | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
| 9.0ms | x | @ | -inf | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
| 7.0ms | x | @ | inf | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
| 1.0ms | n | @ | 0 | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
| 1.0ms | n | @ | inf | (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
| 1× | batch-egg-rewrite |
| 488× | associate-/r/ |
| 442× | associate-/l/ |
| 426× | add-sqr-sqrt |
| 408× | *-un-lft-identity |
| 402× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 210 |
| 1 | 423 | 186 |
| 2 | 5742 | 186 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))))) |
(*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (/.f64 x (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n))) (*.f64 (sqrt.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n))) (/.f64 x (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))))))) (sqrt.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 -6) (/.f64 (log.f64 x) n))) (*.f64 (cbrt.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n))) (/.f64 x (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))))))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 (exp.f64 (/.f64 (*.f64 -3 (log.f64 x)) n)) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 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| 1× | egg-herbie |
| 1056× | associate-+l+ |
| 870× | +-commutative |
| 846× | associate-/r* |
| 716× | times-frac |
| 708× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 552 | 13710 |
| 1 | 1656 | 12068 |
| 2 | 7203 | 12068 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 1/3 (*.f64 n x)) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x))))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) x)) (+.f64 (*.f64 2 (*.f64 (log.f64 x) (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 (log.f64 x) 2))) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) x))))) (pow.f64 n 4))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))))) |
(/.f64 1/3 (*.f64 n x)) |
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(pow.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))) 1) |
(pow.f64 (sqrt.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3)))) 2) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3)))) 3) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))) 3) 1/3) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x n) 2) (*.f64 (pow.f64 (exp.f64 -4) (/.f64 (log.f64 x) n)) 9))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3)))))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x n) 3) (pow.f64 (*.f64 3 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))) 3) (pow.f64 (*.f64 x n) 3))) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))))) |
(exp.f64 (+.f64 (*.f64 (/.f64 -2 n) (log.f64 x)) (log.f64 (*.f64 x (*.f64 n 3))))) |
(exp.f64 (*.f64 (+.f64 (*.f64 (/.f64 -2 n) (log.f64 x)) (log.f64 (*.f64 x (*.f64 n 3)))) 1)) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))))) |
| Outputs |
|---|
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) n) (*.f64 x (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(/.f64 1/3 (/.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) n) (*.f64 x (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(/.f64 1/3 (/.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) n) (*.f64 x (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(/.f64 1/3 (/.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) x)))) |
(*.f64 1/3 (/.f64 (/.f64 (pow.f64 (exp.f64 3) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) n) (*.f64 x (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(/.f64 1/3 (/.f64 (*.f64 (pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(*.f64 1/3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x)))) |
(/.f64 (*.f64 1/3 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(*.f64 (/.f64 1/3 (*.f64 x n)) (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 2))) |
(/.f64 1/3 (*.f64 n x)) |
(/.f64 1/3 (*.f64 x n)) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/3 (/.f64 (*.f64 (/.f64 (log.f64 x) x) 1) (*.f64 n n)) (/.f64 1/3 (*.f64 x n))) |
(fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1/3 (*.f64 x n))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/3 (/.f64 (*.f64 (/.f64 (log.f64 x) x) 1) (*.f64 n n)) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (*.f64 (log.f64 x) (*.f64 (/.f64 (log.f64 x) x) 1))))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n)))) |
(fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) 5/2) (*.f64 (*.f64 -2 (/.f64 (log.f64 x) x)) (log.f64 x))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n)))) |
(+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) x)) (+.f64 (*.f64 2 (*.f64 (log.f64 x) (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))))) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (pow.f64 (log.f64 x) 2))) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) x))))) (pow.f64 n 4))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (*.f64 (-.f64 (*.f64 3 (/.f64 (log.f64 x) x)) (*.f64 2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))))) |
(fma.f64 1/3 (/.f64 (*.f64 (/.f64 (log.f64 x) x) 1) (*.f64 n n)) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) x)) (fma.f64 2 (*.f64 (log.f64 x) (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (*.f64 (log.f64 x) (*.f64 (/.f64 (log.f64 x) x) 1)))))) (fma.f64 2 (*.f64 (*.f64 (/.f64 (log.f64 x) x) 1) (pow.f64 (log.f64 x) 2)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) x) 4/3)))) (pow.f64 n 4)) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) (*.f64 (log.f64 x) (*.f64 (/.f64 (log.f64 x) x) 1))))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n))))) |
(fma.f64 1/3 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) x)) (fma.f64 (*.f64 (log.f64 x) 2) (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) 5/2) (*.f64 (*.f64 -2 (/.f64 (log.f64 x) x)) (log.f64 x))) (fma.f64 (/.f64 (pow.f64 (log.f64 x) 3) x) 4/3 (*.f64 (/.f64 (log.f64 x) x) (*.f64 2 (pow.f64 (log.f64 x) 2)))))) (pow.f64 n 4)) (fma.f64 1/3 (/.f64 (+.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) 5/2) (*.f64 (*.f64 -2 (/.f64 (log.f64 x) x)) (log.f64 x))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n))))) |
(/.f64 1/3 (*.f64 n x)) |
(/.f64 1/3 (*.f64 x n)) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))) |
(fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (log.f64 x) x) -1) (*.f64 n n)) (/.f64 1/3 (*.f64 x n))) |
(fma.f64 -1/3 (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n)) (/.f64 1/3 (*.f64 x n))) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 -2 (*.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x))))) |
(fma.f64 -1/3 (/.f64 (*.f64 (/.f64 (log.f64 x) x) -1) (*.f64 n n)) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (fma.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x) (*.f64 -2 (*.f64 (log.f64 x) (*.f64 (/.f64 (log.f64 x) x) -1))))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n)))) |
(fma.f64 -1/3 (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n)) (fma.f64 1/3 (/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) x) 5/2) (*.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 (log.f64 x) -2))) (pow.f64 n 3)) (/.f64 1/3 (*.f64 x n)))) |
(+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (pow.f64 n 2))) (+.f64 (*.f64 -1/3 (/.f64 (-.f64 (*.f64 -9/2 (/.f64 (pow.f64 (log.f64 x) 3) x)) (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) x)) (+.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (pow.f64 (log.f64 x) 2))) (*.f64 -2 (*.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 -2 (*.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (log.f64 x)))))) (pow.f64 n 4))) (+.f64 (*.f64 1/3 (/.f64 (-.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) x)) (*.f64 -2 (*.f64 (-.f64 (*.f64 -3 (/.f64 (log.f64 x) x)) (*.f64 -2 (/.f64 (log.f64 x) x))) (log.f64 x))))) (pow.f64 n 3))) (*.f64 1/3 (/.f64 1 (*.f64 n x)))))) |
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(/.f64 (log.f64 x) n) |
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(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
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(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(pow.f64 (cbrt.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3)))) 3) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(pow.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))) 3) 1/3) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x n) 2) (*.f64 (pow.f64 (exp.f64 -4) (/.f64 (log.f64 x) n)) 9))) |
(log.f64 (pow.f64 (exp.f64 x) (*.f64 (*.f64 n 3) (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3)))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(cbrt.f64 (pow.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))) 3)) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 x n) 3) (pow.f64 (*.f64 3 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))) 3))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 3 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x)))) 3) (pow.f64 (*.f64 x n) 3))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(expm1.f64 (log1p.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(exp.f64 (+.f64 (*.f64 (/.f64 -2 n) (log.f64 x)) (log.f64 (*.f64 x (*.f64 n 3))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(exp.f64 (*.f64 (+.f64 (*.f64 (/.f64 -2 n) (log.f64 x)) (log.f64 (*.f64 x (*.f64 n 3)))) 1)) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
(log1p.f64 (expm1.f64 (*.f64 (exp.f64 (*.f64 (/.f64 -2 n) (log.f64 x))) (*.f64 x (*.f64 n 3))))) |
(*.f64 (pow.f64 (exp.f64 (/.f64 -2 n)) (log.f64 x)) (*.f64 x (*.f64 3 n))) |
(*.f64 3 (*.f64 (*.f64 x n) (pow.f64 x (/.f64 -2 n)))) |
Compiled 37664 to 20485 computations (45.6% saved)
59 alts after pruning (58 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1327 | 23 | 1350 |
| Fresh | 15 | 35 | 50 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 1 | 5 |
| Total | 1347 | 59 | 1406 |
| Status | Error | Program |
|---|---|---|
| 56.9b | (pow.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3) 1/3) | |
| 33.4b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) | |
| 20.9b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 55.9b | (pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) | |
| 20.8b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 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))))) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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))))) | |
| 43.5b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) | |
| 37.4b | (/.f64 (/.f64 1 x) n) | |
| 37.3b | (/.f64 (/.f64 1 n) x) | |
| ▶ | 43.5b | (/.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)))) |
| 43.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.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 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 38.3b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) n) | |
| 24.8b | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) | |
| 41.4b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 43.5b | (/.f64 (-.f64 1 (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))))) | |
| 43.3b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) (/.f64 n 2)))))) | |
| 53.9b | (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (-.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))))))) | |
| 30.1b | (/.f64 (+.f64 (*.f64 3 (/.f64 (log1p.f64 x) n)) (-.f64 (/.f64 9/2 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 (log.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))))) | |
| 43.4b | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 6 n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 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))))) | |
| 43.4b | (/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (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))))) | |
| 41.3b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ▶ | 16.4b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 40.5b | (/.f64 (log.f64 1) n) | |
| 43.0b | (/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n) | |
| 28.7b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 38.5b | (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x))) | |
| ▶ | 20.8b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ✓ | 60.9b | (/.f64 x n) |
| 55.9b | (/.f64 1 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) | |
| 20.5b | (/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) | |
| 26.0b | (/.f64 1 (/.f64 1 (-.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))))))) | |
| 43.3b | (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) | |
| 33.4b | (/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) | |
| ▶ | 38.3b | (/.f64 1 (*.f64 x n)) |
| 20.5b | (-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) | |
| 41.4b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 38.4b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) | |
| 39.2b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 (*.f64 x x)) n)) | |
| 42.1b | (-.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) (/.f64 x n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) | |
| 50.0b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| 60.7b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) | |
| 50.1b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) | |
| 26.0b | (-.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))))) | |
| 33.4b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| 43.3b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 41.8b | (+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 41.8b | (+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 38.5b | (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) | |
| 20.6b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ▶ | 20.5b | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| 34.0b | (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))) | |
| 38.4b | (*.f64 3 (/.f64 1/3 (*.f64 x n))) | |
| 20.6b | (*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| 56.1b | (log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) | |
| 60.2b | (expm1.f64 (/.f64 (log1p.f64 x) n)) | |
| 56.9b | (exp.f64 (log.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) |
Compiled 3001 to 2085 computations (30.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (+.f64 (/.f64 1 x) 0)) |
| ✓ | 0.2b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
Compiled 28 to 21 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | n | @ | 0 | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 7.0ms | 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)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.2b | (/.f64 1 (*.f64 x n)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | inf | (/.f64 1 (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 1300× | add-sqr-sqrt |
| 1284× | *-un-lft-identity |
| 1192× | add-cube-cbrt |
| 1176× | add-cbrt-cube |
| 1162× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 139 | 13 |
| 2 | 1649 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))))))) |
| 1× | egg-herbie |
| 1764× | associate-/r* |
| 1214× | associate-*r* |
| 1008× | associate-*l* |
| 956× | associate-/l/ |
| 668× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 647 |
| 1 | 151 | 647 |
| 2 | 548 | 641 |
| 3 | 3542 | 635 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (*.f64 x n) -1) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (cbrt.f64 (*.f64 n x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n x)) -2) (cbrt.f64 (*.f64 n x))) |
(pow.f64 (*.f64 x n) -1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 1 x)) |
| ✓ | 0.2b | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| ✓ | 3.0b | (log.f64 (/.f64 x (+.f64 1 x))) |
Compiled 33 to 22 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 13.0ms | n | @ | 0 | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| 4.0ms | n | @ | inf | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| 3.0ms | x | @ | inf | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 x (+.f64 1 x))) |
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 x (+.f64 1 x))) |
| 1× | batch-egg-rewrite |
| 1542× | associate-*r/ |
| 1168× | associate-/r* |
| 1114× | *-commutative |
| 1030× | associate-*l/ |
| 764× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 59 |
| 1 | 248 | 53 |
| 2 | 3110 | 53 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 x (+.f64 1 x))) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
(/.f64 x (+.f64 1 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (/.f64 1 (+.f64 x 1))) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (+.f64 1 (fma.f64 x x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log.f64 (-.f64 1 (*.f64 x x)))) (log.f64 (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 x) (log1p.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (log.f64 (neg.f64 x))) (log.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (log.f64 x) 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log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 1166× | associate-/l* |
| 784× | associate-+l+ |
| 756× | associate-+r+ |
| 734× | +-commutative |
| 646× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 553 | 7821 |
| 1 | 1426 | 7269 |
| 2 | 7039 | 7269 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -1 x) (log.f64 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (log.f64 x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.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)))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 0) |
(+.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 x 1)))) |
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1))))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x))) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1))))) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x))) |
(+.f64 (log.f64 (/.f64 1 (+.f64 x 1))) (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))))) |
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(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 x))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x)))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x (neg.f64 x)))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) 1) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (/.f64 (+.f64 x 1) x) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(neg.f64 (/.f64 x (-.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) |
| Outputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -1 x) (log.f64 x)) |
(fma.f64 -1 x (log.f64 x)) |
(-.f64 (log.f64 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (log.f64 x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (log.f64 x))) |
(fma.f64 1/2 (*.f64 x x) (-.f64 (log.f64 x) x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) |
(fma.f64 1/2 (*.f64 x x) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 -1 x)) (/.f64 1/3 (pow.f64 x 3))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 (/.f64 1/2 x) x) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (neg.f64 (/.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 (/.f64 x n) (/.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 -1/2 (/.f64 (*.f64 x x) n))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.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 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.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 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) 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 (/.f64 1/2 (*.f64 x (*.f64 x n))) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(fma.f64 -1 (*.f64 x x) x) |
(*.f64 x (-.f64 1 x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(fma.f64 -1 (*.f64 x x) (+.f64 x (pow.f64 x 3))) |
(+.f64 x (*.f64 x (-.f64 (*.f64 x x) x))) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
(fma.f64 -1 (*.f64 x x) (fma.f64 -1 (pow.f64 x 4) (+.f64 x (pow.f64 x 3)))) |
(-.f64 (-.f64 (+.f64 x (pow.f64 x 3)) (pow.f64 x 4)) (*.f64 x x)) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 -1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) |
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 1 (/.f64 -1 x))) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(-.f64 (+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 x))) (/.f64 1 (pow.f64 x 3))) |
(+.f64 1 (-.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))) |
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 0) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 x) (log.f64 (/.f64 1 (+.f64 x 1)))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1))))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 x)))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 x)))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x))) |
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 (cbrt.f64 x)))) |
(-.f64 (*.f64 3 (log.f64 (cbrt.f64 x))) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 1 (+.f64 x 1))))) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (neg.f64 (log.f64 (+.f64 x 1))) (log.f64 (sqrt.f64 x)))) |
(-.f64 (*.f64 2 (log.f64 (sqrt.f64 x))) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
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(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) 2)) |
(fabs.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))) |
(log.f64 (pow.f64 (/.f64 x (+.f64 x 1)) (/.f64 -1 n))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n))))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) 3)) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(cbrt.f64 (*.f64 (pow.f64 (/.f64 -1 n) 3) (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3) (/.f64 -1 (pow.f64 n 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)))) |
(neg.f64 (/.f64 (log.f64 (/.f64 x (+.f64 x 1))) n)) |
(/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) (neg.f64 n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1) |
(/.f64 x (+.f64 x 1)) |
(*.f64 x (/.f64 1 (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 1 (/.f64 x (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 x (+.f64 x 1)) 1) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 x 1)) x) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 1 (pow.f64 x 3)))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x))) |
(/.f64 (*.f64 1 (neg.f64 x)) (-.f64 -1 x)) |
(/.f64 (neg.f64 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (sqrt.f64 x) 1)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 (pow.f64 (cbrt.f64 x) 2) 1)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 x 1) (/.f64 1 (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 1 (-.f64 1 (*.f64 x x))) (*.f64 x (-.f64 1 x))) |
(*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(*.f64 (-.f64 1 x) (/.f64 x (-.f64 1 (*.f64 x x)))) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x (neg.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 x)) |
(/.f64 (*.f64 1 (neg.f64 x)) (-.f64 -1 x)) |
(/.f64 (neg.f64 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1)))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(/.f64 (*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) 1) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1)))) |
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (+.f64 x 1))) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x 1)) (cbrt.f64 x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 x (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x 1) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
(/.f64 x (+.f64 x 1)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 1 (*.f64 x x)))) (-.f64 1 x)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x (neg.f64 x)))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (+.f64 (*.f64 x x) (-.f64 1 x)) (/.f64 x (+.f64 (pow.f64 x 3) 1))) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 (*.f64 x x) 1)) (-.f64 x 1)) |
(*.f64 (/.f64 x (neg.f64 (-.f64 1 (*.f64 x x)))) (neg.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (hypot.f64 1 (pow.f64 x 3/2)))) (sqrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (-.f64 1 (*.f64 x x)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (-.f64 1 (*.f64 x x))) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (sqrt.f64 (-.f64 1 (*.f64 x x))))) (sqrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 x (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) 1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 1 (fma.f64 x x (neg.f64 x))))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (+.f64 (pow.f64 x 3) 1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 (*.f64 x x) (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (-.f64 1 (*.f64 x x)))) (cbrt.f64 (-.f64 1 x))) |
(*.f64 (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (-.f64 1 (*.f64 x x))))) (cbrt.f64 (-.f64 1 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) 1) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(pow.f64 (/.f64 (+.f64 x 1) x) -1) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(neg.f64 (/.f64 x (-.f64 -1 x))) |
(/.f64 (*.f64 1 (neg.f64 x)) (-.f64 -1 x)) |
(/.f64 (neg.f64 x) (-.f64 -1 x)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) |
(fabs.f64 (/.f64 x (+.f64 x 1))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))) |
(/.f64 x (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) |
(/.f64 x (+.f64 x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.1b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ✓ | 0.7b | (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 2.9b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 35 to 8 computations (77.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | -inf | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1076× | associate-*r/ |
| 972× | *-commutative |
| 834× | associate-/r* |
| 788× | associate-*l/ |
| 692× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 218 | 55 |
| 2 | 2763 | 55 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 736× | associate-*r* |
| 724× | fma-def |
| 680× | associate-/l* |
| 638× | associate-*l* |
| 518× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 12125 |
| 1 | 1694 | 11673 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
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(+.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 (log1p.f64 x) (/.f64 1 n)) (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n))) |
(+.f64 (*.f64 (neg.f64 (log.f64 x)) (/.f64 1 n)) (*.f64 (log1p.f64 x) (/.f64 1 n))) |
(-.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 (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 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)) (sqrt.f64 n)) (/.f64 1 (sqrt.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 (+.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) 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 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 0) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) 1) |
(*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (-.f64 (log1p.f64 x) (+.f64 (log.f64 x) 1))) |
| 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)) |
(+.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))) |
(/.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 (/.f64 1 x) (/.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 (/.f64 1/2 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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 (/.f64 1 x) (/.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 (/.f64 1/2 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 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.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))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 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 (/.f64 1 n) x) (/.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 (/.f64 1 n) x) (/.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 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 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 (/.f64 1 n) x) (/.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))))) |
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(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (fma.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)) (pow.f64 (log1p.f64 x) 2)))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) 1) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(fabs.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (-.f64 (log1p.f64 x) (+.f64 (log.f64 x) 1))) |
(log1p.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (pow.f64 x (/.f64 1 n)) | |
| 0.2b | (/.f64 (log1p.f64 x) n) | |
| ✓ | 0.7b | (/.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)))) |
| ✓ | 3.6b | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
Compiled 92 to 51 computations (44.6% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | n | @ | -inf | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
| 5.0ms | n | @ | inf | (/.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)))) |
| 3.0ms | x | @ | -inf | (/.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)))) |
| 3.0ms | x | @ | inf | (/.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)))) |
| 3.0ms | x | @ | 0 | (/.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)))) |
| 1× | batch-egg-rewrite |
| 1350× | associate-/r/ |
| 444× | add-sqr-sqrt |
| 432× | *-un-lft-identity |
| 426× | pow1 |
| 414× | add-exp-log |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 112 |
| 1 | 431 | 112 |
| 2 | 6188 | 70 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 1 x) (/.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)))) |
| Outputs |
|---|
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(log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))) |
| 1× | egg-herbie |
| 1394× | associate-*r* |
| 1128× | associate-/r* |
| 1036× | +-commutative |
| 988× | *-commutative |
| 986× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 925 | 32705 |
| 1 | 2999 | 31873 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (/.f64 x n)))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 x n)) (*.f64 (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))) |
(+.f64 (*.f64 2 (/.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 (*.f64 2/3 (/.f64 1 (pow.f64 n 4))) (*.f64 11/6 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3))))) |
(*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 (pow.f64 n 4))) (*.f64 11/6 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n)))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3)))))) |
(-.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 1 x))) (*.f64 2 (log.f64 x))) n) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (log.f64 x) n))))) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (*.f64 4/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3)))))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 2 (/.f64 (log.f64 x) n)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -4/3 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -4/3 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -4/3 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -4/3 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n))))) (+.f64 (*.f64 2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) x)) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) (pow.f64 n 2)))) (+.f64 (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (pow.f64 n 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n)) (/.f64 (*.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)))))) (pow.f64 x 2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) x))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n 2)))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) (pow.f64 n 2)))) (+.f64 (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) (pow.f64 n 2))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (pow.f64 n 2)))) (+.f64 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n)) (/.f64 (*.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)))))) (pow.f64 x 2)) (+.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) x) (*.f64 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) (pow.f64 n 3))) (+.f64 (*.f64 4/3 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n 3)))) (+.f64 (*.f64 2/3 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) (pow.f64 n 3)))) (+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 3) n)) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (pow.f64 n 2)))))))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) n))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) (+.f64 (/.f64 (*.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.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 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2)) (+.f64 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 4) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 1 (*.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) (pow.f64 n 2)))) (*.f64 2 (/.f64 1 (*.f64 (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) 2) (pow.f64 n 3))))))))))))) (/.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
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(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))))) (cbrt.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 2)) (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.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 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))))) (*.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (*.f64 (-.f64 (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (-.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)))) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) -1) |
(neg.f64 (/.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)))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (/.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (pow.f64 x (/.f64 1 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.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 (/.f64 1 n))) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))) |
(expm1.f64 (log1p.f64 (-.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 (/.f64 1 n))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)) |
(log1p.f64 (expm1.f64 (-.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 (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(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)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (*.f64 2 (/.f64 x n))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (*.f64 2 (/.f64 x n)))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (*.f64 2 (/.f64 x n)))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 2 (/.f64 x n)) (*.f64 (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (fma.f64 2 (/.f64 x n) (*.f64 (-.f64 (+.f64 (/.f64 2/3 n) (/.f64 4/3 (pow.f64 n 3))) (/.f64 2 (*.f64 n n))) (pow.f64 x 3))))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (fma.f64 2 (/.f64 x n) (*.f64 (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (*.f64 n n)))) (pow.f64 x 3))))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(*.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) |
(*.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (*.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x x))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (*.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 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 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 2/3 n) (/.f64 4/3 (pow.f64 n 3))) (/.f64 2 (*.f64 n n)))))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (*.f64 n n))))))) |
(+.f64 (*.f64 2 (/.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 (*.f64 2/3 (/.f64 1 (pow.f64 n 4))) (*.f64 11/6 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 2 (/.f64 1 (pow.f64 n 3))) (*.f64 1/2 (/.f64 1 n))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3)))) (*.f64 2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3))))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (+.f64 (+.f64 (/.f64 (*.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 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 (pow.f64 x 3) (-.f64 (+.f64 (/.f64 2/3 n) (/.f64 4/3 (pow.f64 n 3))) (/.f64 2 (*.f64 n n)))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 x 4) (-.f64 (+.f64 (/.f64 2/3 (pow.f64 n 4)) (/.f64 11/6 (*.f64 n n))) (+.f64 (/.f64 2 (pow.f64 n 3)) (/.f64 1/2 n))))))) |
(+.f64 (+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))))) (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (*.f64 n n))))))) (/.f64 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 x 4) (+.f64 (/.f64 2/3 (pow.f64 n 4)) (-.f64 (/.f64 11/6 (*.f64 n n)) (+.f64 (/.f64 2 (pow.f64 n 3)) (/.f64 1/2 n))))))) |
(*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
(*.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)) (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))))) |
(+.f64 (fma.f64 2 (/.f64 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) (neg.f64 (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (+.f64 (/.f64 2/3 n) (/.f64 4/3 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))))) |
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(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) -1) |
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(neg.f64 (/.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 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log.f64 (/.f64 (exp.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (exp.f64 (pow.f64 x (/.f64 1 n))))) |
(-.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 (/.f64 1 n)))))) |
(-.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 (/.f64 1 n))) 3)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 3) (pow.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3))) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(-.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 (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 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 (/.f64 1 n))))) |
(-.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 (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(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)))) |
Compiled 52084 to 29121 computations (44.1% saved)
60 alts after pruning (57 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1555 | 19 | 1574 |
| Fresh | 15 | 38 | 53 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 3 | 5 |
| Total | 1573 | 60 | 1633 |
| Status | Error | Program |
|---|---|---|
| 36.2b | (pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) | |
| 17.0b | (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) n) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 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))))) | |
| 43.4b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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))))) | |
| 43.5b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (pow.f64 x (/.f64 2 n)) 2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 2 n))))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 43.5b | (/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) | |
| 41.4b | (/.f64 (/.f64 (log1p.f64 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) | |
| 20.5b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 37.4b | (/.f64 (/.f64 1 x) n) | |
| 37.3b | (/.f64 (/.f64 1 n) x) | |
| 39.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))) | |
| 43.5b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))) | |
| 43.4b | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.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 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 38.3b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 24.8b | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) | |
| 43.5b | (/.f64 (-.f64 1 (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))))) | |
| 43.3b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) (/.f64 n 2)))))) | |
| 43.3b | (/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) | |
| 43.4b | (/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 6 n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 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))))) | |
| 43.4b | (/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (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))))) | |
| 41.3b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 16.4b | (/.f64 (log1p.f64 (/.f64 1 x)) n) | |
| 40.5b | (/.f64 (log.f64 1) n) | |
| 43.0b | (/.f64 (expm1.f64 (log1p.f64 (neg.f64 (log.f64 x)))) n) | |
| 28.7b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 38.5b | (/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x))) | |
| 38.5b | (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) x))) | |
| 43.0b | (/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) | |
| ✓ | 60.9b | (/.f64 x n) |
| 55.9b | (/.f64 1 (/.f64 (+.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) | |
| 26.0b | (/.f64 1 (/.f64 1 (-.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))))))) | |
| 43.3b | (/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) | |
| ✓ | 38.3b | (/.f64 1 (*.f64 x n)) |
| 20.5b | (/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) | |
| 38.2b | (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 20.5b | (-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) | |
| 41.4b | (-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) | |
| 38.4b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) | |
| 42.1b | (-.f64 (-.f64 (+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) (/.f64 x n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) | |
| 50.0b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 56.5b | (-.f64 (+.f64 (/.f64 x n) 1) 1) | |
| 60.7b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) | |
| 50.1b | (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) | |
| 26.0b | (-.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))))) | |
| 45.8b | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 33.4b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| 43.3b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 23.5b | (+.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)) (-.f64 (/.f64 (*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (*.f64 n n) (+.f64 (log.f64 x) (log1p.f64 x)))))) | |
| 41.8b | (+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 41.8b | (+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 38.5b | (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) | |
| 43.5b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) | |
| 20.6b | (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| 37.4b | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| ✓ | 20.5b | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 1 x)))) |
| 41.3b | (*.f64 (/.f64 -1 n) (log.f64 x)) | |
| 38.4b | (*.f64 3 (/.f64 1/3 (*.f64 x n))) | |
| 20.6b | (*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) | |
| 60.2b | (expm1.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 1483 to 1030 computations (30.5% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (+.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))))) n) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (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 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.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) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) n) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.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 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) (/.f64 x n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (-.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))))))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) |
(/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) (/.f64 n 2)))))) |
(/.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 1 (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))))) |
(/.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 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) 2) (pow.f64 x (*.f64 2 (/.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 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 n (*.f64 x (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))))) |
(*.f64 3 (/.f64 (pow.f64 (exp.f64 -3) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 (*.f64 x n) (*.f64 3 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))))) |
(*.f64 (/.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 1 (/.f64 1 (/.f64 (-.f64 (exp.f64 (*.f64 2 (/.f64 (log1p.f64 x) 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 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))))) |
(/.f64 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 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))))) |
(/.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))))) |
(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 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 x (/.f64 4 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.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 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (*.f64 (+.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)))) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.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))))) |
(+.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 (pow.f64 (+.f64 1 x) (/.f64 6 n)) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 (pow.f64 x (/.f64 2 n)) 2) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 4 n)) (pow.f64 (*.f64 x (+.f64 1 x)) (/.f64 2 n))))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)) (-.f64 (/.f64 (*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (*.f64 1/2 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (*.f64 n n) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(/.f64 (+.f64 (*.f64 3 (/.f64 (log1p.f64 x) n)) (-.f64 (/.f64 9/2 (/.f64 (*.f64 n n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (*.f64 (log.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))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 6 n)) (pow.f64 x (/.f64 6 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))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 9 n)) (pow.f64 x (/.f64 9 n))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 6 n)) (+.f64 (pow.f64 (fma.f64 x x x) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 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))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.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 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))))) |
(/.f64 1 (/.f64 1 (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (pow.f64 x (/.f64 3 n))) (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (-.f64 (sqrt.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (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))))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (fma.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.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 (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 11/24 (*.f64 n n)) (-.f64 (/.f64 1/24 (pow.f64 n 4)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) |
(-.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))))) |
(/.f64 1 (/.f64 1 (-.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))))))) |
| Outputs |
|---|
(/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 151.0ms | n |
| 126.0ms | (/.f64 1 n) |
| 89.0ms | x |
| 13.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.6b | 2 | x |
| 1.1b | 3 | n |
| 10.5b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.1b | 3 | (/.f64 1 n) |
Compiled 2626 to 1508 computations (42.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -1.0730318075779908e-7 | -3.038745824492363e-13 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (+.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))))) n) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (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 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.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) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) n) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n))) (*.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) (*.f64 n x))) |
(/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) x))) |
(exp.f64 (log.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (exp.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))))) |
(pow.f64 (cbrt.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (fma.f64 (/.f64 (-.f64 (/.f64 1/2 n) 1/2) n) (*.f64 x x) (+.f64 1 (/.f64 x n))) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 x (/.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 (fma.f64 1/2 (/.f64 (*.f64 x x) (*.f64 n n)) (*.f64 (*.f64 x x) (/.f64 -1/2 n))) (/.f64 x n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (-.f64 (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))) (pow.f64 x (/.f64 1 n))) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x)))))) (+.f64 1 (+.f64 (/.f64 x n) (-.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 (+.f64 -1/2 (/.f64 1/2 n)) (/.f64 n x))))))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
| Outputs |
|---|
(/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 92.0ms | (/.f64 1 n) |
| 88.0ms | n |
| 54.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 2 | x |
| 1.1b | 3 | n |
| 10.5b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.1b | 3 | (/.f64 1 n) |
Compiled 970 to 519 computations (46.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -1.0730318075779908e-7 | -3.038745824492363e-13 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (+.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))))) n) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (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 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.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) |
(/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) n) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
| Outputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 69.0ms | n |
| 68.0ms | (/.f64 1 n) |
| 45.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 2 | x |
| 1.1b | 3 | n |
| 10.5b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.1b | 3 | (/.f64 1 n) |
Compiled 623 to 328 computations (47.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -1.0730318075779908e-7 | -3.038745824492363e-13 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (+.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))))) n) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (neg.f64 (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 (/.f64 1 x)) (sqrt.f64 n)) (sqrt.f64 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 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 60.0ms | n |
| 59.0ms | (/.f64 1 n) |
| 43.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 2 | x |
| 1.6b | 3 | n |
| 10.8b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.3b | 3 | (/.f64 1 n) |
Compiled 546 to 293 computations (46.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -1.0730318075779908e-7 | -3.038745824492363e-13 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(*.f64 1/3 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 1 (/.f64 1 (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 1 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (/.f64 (-.f64 (log1p.f64 x) (-.f64 (log.f64 x) 1)) n) (/.f64 1 n)) |
| Outputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 70.0ms | n |
| 51.0ms | (/.f64 1 n) |
| 35.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.9b | 2 | x |
| 1.4b | 4 | n |
| 1.4b | 3 | (/.f64 1 n) |
Compiled 452 to 235 computations (48% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -2.1183303008142744e-5 | -4.24264410559267e-6 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (-.f64 (log.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 -1 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x)))) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 85.0ms | x |
| 59.0ms | n |
| 45.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 13.5b | 5 | x |
| 1.6b | 4 | n |
| 1.6b | 3 | (/.f64 1 n) |
Compiled 377 to 201 computations (46.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -48281.70821928839 | -2.1183303008142744e-5 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (log.f64 x)) x) (*.f64 n n))) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 130.0ms | x |
| 49.0ms | n |
| 37.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 13.5b | 5 | x |
| 1.7b | 4 | n |
| 1.7b | 3 | (/.f64 1 n) |
Compiled 294 to 164 computations (44.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -48281.70821928839 | -2.1183303008142744e-5 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.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 1 x) 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 1 x)))) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 117.0ms | (/.f64 1 n) |
| 115.0ms | x |
| 45.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 13.5b | 5 | x |
| 1.9b | 4 | n |
| 1.9b | 3 | (/.f64 1 n) |
Compiled 237 to 137 computations (42.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.2558782179181534e-16 | 1.4465696155690003e-9 |
| 0.0ms | -48281.70821928839 | -2.1183303008142744e-5 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
3 calls:
| 76.0ms | x |
| 28.0ms | n |
| 20.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 13.5b | 5 | x |
| 7.2b | 3 | n |
| 7.2b | 2 | (/.f64 1 n) |
Compiled 187 to 105 computations (43.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -48281.70821928839 | -2.1183303008142744e-5 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 -1 n) (log.f64 x)) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 n) x) |
3 calls:
| 47.0ms | (/.f64 1 n) |
| 47.0ms | n |
| 41.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.6b | 4 | x |
| 25.1b | 6 | n |
| 25.2b | 5 | (/.f64 1 n) |
Compiled 175 to 99 computations (43.4% saved)
| 3× | binary-search |
| Time | Left | Right |
|---|---|---|
| 83.0ms | 3.4392282488785294e+140 | 4.0436891865387194e+144 |
| 45.0ms | 2.3456683262598288e+116 | 4.820748042901612e+116 |
| 58.0ms | 0.4245994595843969 | 3.8608573359393925 |
| 106.0ms | 145× | body | 1024 | valid |
| 50.0ms | 75× | body | 2048 | valid |
| 10.0ms | 63× | body | 256 | valid |
| 7.0ms | 30× | body | 256 | unsamplable |
| 5.0ms | 21× | body | 512 | valid |
| 3.0ms | 18× | body | 256 | infinite |
Compiled 399 to 298 computations (25.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
(/.f64 (log.f64 1) n) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 x) n) |
3 calls:
| 29.0ms | x |
| 23.0ms | n |
| 16.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 35.6b | 3 | x |
| 28.1b | 3 | n |
| 28.1b | 2 | (/.f64 1 n) |
Compiled 164 to 93 computations (43.3% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 5.728105590334195e-15 | 4.892064916284106e-9 |
| 48.0ms | -47206.99126173126 | -2.0711777542297128e-5 |
| 52.0ms | 222× | body | 256 | valid |
| 49.0ms | 176× | body | 256 | unsamplable |
| 15.0ms | 29× | body | 1024 | valid |
| 10.0ms | 35× | body | 512 | valid |
| 2.0ms | 2× | body | 2048 | valid |
| 1.0ms | 6× | body | 256 | infinite |
Compiled 290 to 231 computations (20.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x 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 1/2 (*.f64 x x)) n)) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) 1) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (/.f64 1 x) n) |
3 calls:
| 22.0ms | n |
| 16.0ms | (/.f64 1 n) |
| 7.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 1 | x |
| 33.5b | 3 | n |
| 33.5b | 2 | (/.f64 1 n) |
Compiled 160 to 90 computations (43.8% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 32.0ms | -1.1645495089058092e-183 | -1.7359832333817387e-184 |
| 39.0ms | -47206.99126173126 | -2.0711777542297128e-5 |
| 33.0ms | 192× | body | 256 | valid |
| 15.0ms | 33× | body | 1024 | valid |
| 15.0ms | 59× | body | 256 | infinite |
| 4.0ms | 15× | body | 512 | valid |
Compiled 320 to 255 computations (20.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 3 (/.f64 1/3 (*.f64 x n))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 (/.f64 x n) 1) 1) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
3 calls:
| 6.0ms | (/.f64 1 n) |
| 5.0ms | x |
| 5.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 1 | x |
| 37.3b | 1 | n |
| 37.3b | 1 | (/.f64 1 n) |
Compiled 52 to 33 computations (36.5% saved)
Total -23.1b remaining (-60.3%)
Threshold costs -23.1b (-60.3%)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x n)) |
2 calls:
| 3.0ms | n |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.3b | 1 | x |
| 38.3b | 1 | n |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
| 34× | +-commutative |
| 26× | sub-neg |
| 16× | *-commutative |
| 10× | neg-mul-1 |
| 10× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 102 | 1219 |
| 1 | 125 | 1219 |
| 2 | 146 | 1219 |
| 3 | 155 | 1219 |
| 4 | 159 | 1219 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 x 3152519739159347/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 480000000000000007468519742144084651648736670522109488017489878606800214959082737567192987159222774884579014816563200) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) (if (<=.f64 x 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))) |
(if (<=.f64 n -7) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7352373481323731/1267650600228229401496703205376) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -6697692026289335/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 x n) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (/.f64 1 (/.f64 1 (log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (/.f64 1 (/.f64 1 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -944473296573929/9444732965739290427392) (-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -5902958103587057/295147905179352825856) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)))) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 2028240960365167/5070602400912917605986812821504) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 (/.f64 1 n) -40000) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 x 3152519739159347/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 480000000000000007468519742144084651648736670522109488017489878606800214959082737567192987159222774884579014816563200) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) (if (<=.f64 x 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x)))) |
(if (<=.f64 x 3152519739159347/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 480000000000000007468519742144084651648736670522109488017489878606800214959082737567192987159222774884579014816563200) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 n (*.f64 x x)))) (if (<=.f64 x 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))) |
(if (<=.f64 x 3152519739159347/4503599627370496) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 480000000000000007468519742144084651648736670522109488017489878606800214959082737567192987159222774884579014816563200) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) (if (<=.f64 x 349999999999999989018643932353271763280333925111648739263550478404999996736516759110603558435118836382949171724193167634425762871179839799296) (/.f64 0 n) (/.f64 (/.f64 1 n) x)))) |
(if (<=.f64 n -7) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7352373481323731/1267650600228229401496703205376) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -7) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 7352373481323731/1267650600228229401496703205376) (/.f64 0 n) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -6697692026289335/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -6697692026289335/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 x) n))) |
(if (<=.f64 n -6980579422424269/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n -6697692026289335/38272525864510487788655081260950309410329935801733327822136058989190002861848048793862592256319392263154317107227530633921701753935367770195646260767912323717284188541295913442384799112073398408183808) (+.f64 -1 (+.f64 1 (/.f64 1 (*.f64 n x)))) (/.f64 (/.f64 1 x) n))) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 x n) |
Compiled 478 to 331 computations (30.8% saved)
| 3× | egg-herbie |
| 1516× | associate-/r* |
| 1382× | associate-*r/ |
| 1092× | associate-/l* |
| 1078× | associate-+l- |
| 1038× | associate--r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 376 | 5099 |
| 1 | 961 | 4717 |
| 2 | 3935 | 4705 |
| 0 | 163 | 1982 |
| 1 | 389 | 1938 |
| 2 | 1875 | 1938 |
| 0 | 488 | 15190 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 168 to 126 computations (25% saved)
Compiled 450 to 288 computations (36% saved)
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