Time bar (total: 21.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 21.4% | 18.7% | 68.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 26.9% | 21.9% | 59.3% | 0.1% | 0% | 18.7% | 0% | 6 |
| 33.3% | 25% | 50% | 0.1% | 0% | 18.7% | 6.2% | 7 |
| 37% | 26.5% | 45.3% | 0.1% | 0% | 21.9% | 6.2% | 8 |
| 43.9% | 28.1% | 35.9% | 0.1% | 2.3% | 21.9% | 11.7% | 9 |
| 47.1% | 28.9% | 32.4% | 0.1% | 2.7% | 23.4% | 12.5% | 10 |
| 53.3% | 30.3% | 26.5% | 0.1% | 4.1% | 23.4% | 15.5% | 11 |
| 55.2% | 30.7% | 25% | 0.1% | 4.4% | 24.2% | 15.6% | 12 |
Compiled 16 to 12 computations (25% saved)
| 3.0s | 2690× | body | 1024 | valid |
| 1.9s | 1510× | body | 1024 | invalid |
| 1.5s | 1777× | body | 2048 | valid |
| 591.0ms | 784× | body | 512 | invalid |
| 572.0ms | 1294× | body | 512 | valid |
| 488.0ms | 2495× | body | 256 | valid |
| 288.0ms | 189× | body | 1024 | infinite |
| 246.0ms | 817× | body | 256 | infinite |
| 227.0ms | 1272× | body | 256 | invalid |
| 158.0ms | 250× | body | 512 | infinite |
| 88.0ms | 355× | body | 256 | unsamplable |
| 17.0ms | 7× | 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 |
|---|---|---|
| ▶ | 48.56% | (-.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 |
|---|---|---|
| ✓ | 0.02% | (pow.f64 x (/.f64 1 n)) |
| ✓ | 0.02% | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| ✓ | 3.04% | (-.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 | |
|---|---|---|---|---|
| 19.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 16.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 5.0ms | x | @ | inf | (pow.f64 x (/.f64 1 n)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1040× | associate-*r/ |
| 990× | *-commutative |
| 686× | associate-*l/ |
| 494× | distribute-lft-in |
| 486× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 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 (+.f64 x 1) (/.f64 1 n)) |
(pow.f64 x (/.f64 1 n)) |
| Outputs |
|---|
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((#(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)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) |
| 1× | egg-herbie |
| 1076× | associate-+l- |
| 1038× | associate--r+ |
| 1008× | associate-+r- |
| 636× | fma-def |
| 480× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 15302 |
| 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))))) |
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)))) |
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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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(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)) |
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1 |
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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 -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 |
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(/.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 (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)))) |
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(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
(sqrt.f64 (pow.f64 x (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1))))) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (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 (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 (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)))))) |
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(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
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(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) |
(-.f64 (+.f64 (*.f64 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 (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 (/.f64 (*.f64 -1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (neg.f64 (/.f64 (*.f64 -1 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(-.f64 (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 (-.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))) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 1 (/.f64 x n)) |
(+.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 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(+.f64 (/.f64 x n) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1)) |
(+.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))))) |
(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)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 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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(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n))) |
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(+.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 (exp.f64 (/.f64 (log.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 (/.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)))))) |
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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)) |
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(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 (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))))))) |
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(-.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 (/.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))) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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)) |
(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 (*.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)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) |
(+.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)) |
(+.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 (*.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)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (/.f64 (log1p.f64 x) n)))) |
(+.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)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 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 (+.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 1 (/.f64 (log.f64 x) n)) |
(+.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 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (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 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 |
(+.f64 (/.f64 (log.f64 x) n) 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))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 1 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
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(-.f64 (+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) |
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(-.f64 (+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) |
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(fma.f64 2 (+.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
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(fma.f64 2 (+.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
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(fma.f64 2 (+.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
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(fma.f64 2 (+.f64 (pow.f64 x (/.f64 1 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3) |
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(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(+.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 (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)) |
(-.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)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
Compiled 11763 to 7383 computations (37.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 306 | 13 | 319 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 307 | 13 | 320 |
| Status | Error | Program |
|---|---|---|
| ▶ | 33.73% | (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))))) |
| ▶ | 66.9% | (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
| ▶ | 27.18% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 66.86% | (/.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)))))) | |
| ▶ | 43.97% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 35.79% | (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) | |
| 37.97% | (-.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)))) | |
| 76.7% | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 83.77% | (-.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))) | |
| 48% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ▶ | 66.66% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 51.58% | (+.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))) | |
| 48.02% | (cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
Compiled 612 to 402 computations (34.3% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.22% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | 3.35% | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 35.0ms | n | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 9.0ms | n | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1270× | associate-*r/ |
| 1216× | associate-/r* |
| 1086× | associate-/l* |
| 958× | *-commutative |
| 904× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 192 | 36 |
| 2 | 2703 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log.f64 x)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) 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(*.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)))))))))) (#(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))))))) |
| 1× | egg-herbie |
| 1348× | associate-+r+ |
| 1086× | +-commutative |
| 672× | associate-/l* |
| 668× | associate-*r* |
| 598× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 9154 |
| 1 | 1298 | 8822 |
| 2 | 6780 | 8798 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.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) |
(+.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)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 (log1p.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(*.f64 (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))) (+.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (-.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.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 (log1p.f64 x) (log.f64 x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (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) (/.f64 1 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (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 1 (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.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 (/.f64 1/2 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 (/.f64 1 x) (/.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 (/.f64 1/2 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 (/.f64 1 x) (/.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 x n) (/.f64 (neg.f64 (log.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 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 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) |
(+.f64 (/.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 1 (*.f64 x n)) (/.f64 1/3 (*.f64 (pow.f64 x 3) n))) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) |
(+.f64 (/.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 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (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)) |
(-.f64 (+.f64 (log.f64 x) (-.f64 (log1p.f64 x) (log.f64 x))) (log.f64 x)) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (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)) |
(-.f64 (+.f64 (log.f64 x) (-.f64 (log1p.f64 x) (log.f64 x))) (log.f64 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(fma.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 x))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (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)) (log.f64 x)) (log.f64 x))) |
(+.f64 (+.f64 (log1p.f64 x) (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 x))))) (*.f64 (sqrt.f64 (log.f64 x)) (neg.f64 (sqrt.f64 (log.f64 x))))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (log.f64 x)) (log.f64 x))) |
(+.f64 (log1p.f64 x) (+.f64 (*.f64 2 (+.f64 (log.f64 x) (neg.f64 (log.f64 x)))) (*.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 (log1p.f64 x) (log.f64 x))) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
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(*.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 (-.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 (-.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 -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 (/.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 (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 (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 (*.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 (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) 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 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) n))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3)) n))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6)) (fma.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log1p.f64 x) 4)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.02% | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 3.96% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
Compiled 20 to 13 computations (35% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | -inf | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1736× | add-sqr-sqrt |
| 1714× | *-un-lft-identity |
| 1600× | add-cube-cbrt |
| 1586× | add-cbrt-cube |
| 170× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 19 |
| 1 | 173 | 19 |
| 2 | 2194 | 19 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))))))) |
| 1× | egg-herbie |
| 1366× | associate-*r/ |
| 1358× | distribute-lft-in |
| 1080× | associate-*r* |
| 914× | associate-*l/ |
| 820× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 1976 |
| 1 | 306 | 1798 |
| 2 | 1081 | 1774 |
| 3 | 4476 | 1774 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1) |
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) |
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) |
(fma.f64 (/.f64 -1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) (/.f64 (log.f64 x) n)) |
(+.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 1 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (/.f64 1 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 1 (/.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))) (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1)))) (+.f64 1 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3))) (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1)))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1))))) (-.f64 1 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 1 (-.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (pow.f64 n -1))))) (neg.f64 (+.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 1 n)))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (pow.f64 n -1) 3)))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 x (*.f64 2 (pow.f64 n -1))))))) |
(*.f64 (-.f64 1 (pow.f64 x (*.f64 3 (/.f64 1 n)))) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (*.f64 2 (/.f64 1 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 1) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 2) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))) 3) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 2)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(log.f64 (exp.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1)))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (pow.f64 x (pow.f64 n -1)))) 1)) |
(exp.f64 (log1p.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(log1p.f64 (expm1.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.05% | (exp.f64 (/.f64 (log.f64 x) n)) |
| ✓ | 0.46% | (/.f64 (log.f64 x) n) |
| ✓ | 6.45% | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
Compiled 27 to 7 computations (74.1% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | x | @ | -inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 4.0ms | x | @ | inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1.0ms | x | @ | 0 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1.0ms | n | @ | 0 | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 0.0ms | n | @ | inf | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 1576× | associate-/l* |
| 1366× | associate-*r/ |
| 1066× | *-commutative |
| 948× | associate-*l/ |
| 332× | distribute-lft-neg-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 203 | 49 |
| 2 | 2768 | 49 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (log.f64 x) n) |
(exp.f64 (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
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(#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log.f64 x) n) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) 0) (/.f64 (log.f64 x) n))))) 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x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 n)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2))))) (#(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 (pow.f64 x (/.f64 1 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))))))) |
| 1× | egg-herbie |
| 1452× | associate-/l/ |
| 972× | associate-/r/ |
| 608× | distribute-lft-neg-in |
| 584× | associate-*r* |
| 576× | associate-+r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 343 | 5569 |
| 1 | 841 | 4523 |
| 2 | 4161 | 4507 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.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 n x)) |
(/.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 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) |
(*.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (/.f64 1 (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(*.f64 (/.f64 1 (*.f64 x (neg.f64 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n) -1) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(+.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(+.f64 0 (/.f64 (log.f64 x) n)) |
(+.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (*.f64 (/.f64 1 n) 0) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (*.f64 1 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(+.f64 (*.f64 (/.f64 1 n) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (*.f64 (/.f64 1 n) (log.f64 (cbrt.f64 x)))) |
(+.f64 (*.f64 (/.f64 1 n) (log.f64 (sqrt.f64 x))) (*.f64 (/.f64 1 n) (log.f64 (sqrt.f64 x)))) |
(+.f64 (*.f64 0 (/.f64 1 n)) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) 1)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) 1) (*.f64 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 n)) (*.f64 (log.f64 (cbrt.f64 x)) (/.f64 1 n))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 1 n)) (*.f64 (log.f64 (sqrt.f64 x)) (/.f64 1 n))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n)))) 1) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(*.f64 1 (/.f64 (log.f64 x) n)) |
(*.f64 (sqrt.f64 (log.f64 x)) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (sqrt.f64 (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (/.f64 (sqrt.f64 (log.f64 x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 1 (neg.f64 n)) (neg.f64 (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (cbrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 -1 (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (pow.f64 x (/.f64 1 n)) 1) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
| Outputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.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 (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 (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 (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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (/.f64 1 n) x) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))))) |
(+.f64 (/.f64 (/.f64 1 n) x) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (/.f64 1 n) x) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 (/.f64 1 n) x) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (/.f64 1 x) n) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(+.f64 (/.f64 (/.f64 1 n) x) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
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1 |
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1 |
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(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(fabs.f64 (/.f64 (log.f64 x) n)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) 1) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 -1 (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n)))) (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 (pow.f64 x (/.f64 1 n)) 1) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 3) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(fabs.f64 (pow.f64 x (/.f64 1 n))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.04% | (exp.f64 (/.f64 (log1p.f64 x) n)) |
| ✓ | 0.05% | (/.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)))) |
| ✓ | 0.26% | (/.f64 (log1p.f64 x) n) |
| ✓ | 2.97% | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
Compiled 92 to 51 computations (44.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | 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)))) |
| 2.0ms | 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)))) |
| 2.0ms | 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)))) |
| 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 | 138 |
| 1 | 431 | 138 |
| 2 | 6188 | 96 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
(/.f64 (log1p.f64 x) 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)))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1690× | associate-*r* |
| 1332× | associate-*l* |
| 1192× | +-commutative |
| 902× | associate-+l+ |
| 886× | associate-+r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1154 | 37191 |
| 1 | 3612 | 36429 |
| 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))) |
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(*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)) |
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1 |
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(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
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1 |
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1 |
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(-.f64 (exp.f64 (log1p.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 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))) |
(*.f64 (pow.f64 (+.f64 1 x) (*.f64 (/.f64 1 n) 1/2)) (pow.f64 (+.f64 1 x) (*.f64 (/.f64 1 n) 1/2))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(pow.f64 (+.f64 1 x) (/.f64 1 n)) |
(pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 1/2) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) |
(pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (E.f64) (/.f64 (log1p.f64 x) n)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(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 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(sqrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(fabs.f64 (exp.f64 (/.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 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 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 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))))) |
(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 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (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 (pow.f64 x 3) (+.f64 (/.f64 2/3 n) (-.f64 (/.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 (*.f64 (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (*.f64 n n)))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (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))))) |
(fma.f64 2 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (+.f64 (+.f64 (/.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (/.f64 (*.f64 x x) (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 (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 (neg.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 (+.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 (*.f64 (+.f64 (/.f64 2/3 n) (-.f64 (/.f64 4/3 (pow.f64 n 3)) (/.f64 2 (*.f64 n n)))) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (pow.f64 x 3))) (/.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 (*.f64 2 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (*.f64 x n)) |
(*.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)))))) |
(+.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)))))) |
(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 (+.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 (pow.f64 x 4) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) 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))))))) |
(+.f64 (+.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)))))) (/.f64 (+.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 (pow.f64 x 4) (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))))) |
(-.f64 (exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.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 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.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 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.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 (pow.f64 (exp.f64 2) (/.f64 (log1p.f64 x) n)) (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (*.f64 2 (log.f64 (+.f64 1 x))) (*.f64 2 (log.f64 x))) n) |
(/.f64 (*.f64 2 (-.f64 (log1p.f64 x) (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 2 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)))) (*.f64 2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (*.f64 2 (log1p.f64 x)) n) (-.f64 (/.f64 (*.f64 2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)) (*.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 (fma.f64 2 (/.f64 (log1p.f64 x) n) (fma.f64 2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (*.f64 4/3 (pow.f64 (/.f64 (log1p.f64 x) n) 3)))) (fma.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 2 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))))) |
(-.f64 (+.f64 (*.f64 2 (+.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n))) (/.f64 (*.f64 4/3 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n 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)))))) |
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1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 1 (/.f64 x n)) |
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(+.f64 1 (+.f64 (/.f64 x n) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
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(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(exp.f64 (/.f64 (*.f64 1 (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)) |
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1 |
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1 |
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(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 2) |
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 3) |
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(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)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (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)))) |
(-.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 (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 (exp.f64 (/.f64 (log1p.f64 x) n)) 1) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.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 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))) |
(*.f64 (pow.f64 (+.f64 1 x) (*.f64 (/.f64 1 n) 1/2)) (pow.f64 (+.f64 1 x) (*.f64 (/.f64 1 n) 1/2))) |
(pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 1/2 n))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (exp.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (+.f64 1 x)) (*.f64 2 (/.f64 1 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 1 n))) |
(pow.f64 (+.f64 1 x) (/.f64 1 n)) |
(pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 1/2) |
(sqrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) |
(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 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 3) |
(exp.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (E.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 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(sqrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(fabs.f64 (exp.f64 (/.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 |
|---|---|---|
| ✓ | 1.13% | (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) |
| 3.35% | (-.f64 (log1p.f64 x) (log.f64 x)) | |
| ✓ | 4.45% | (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
| ✓ | 7.57% | (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))))) |
Compiled 105 to 41 computations (61% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (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))))) |
| 1.0ms | x | @ | inf | (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))))) |
| 1.0ms | n | @ | 0 | (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))))) |
| 1.0ms | x | @ | 0 | (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) |
| 1.0ms | x | @ | 0 | (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))))) |
| 1× | batch-egg-rewrite |
| 738× | associate-/r/ |
| 462× | add-sqr-sqrt |
| 450× | *-un-lft-identity |
| 444× | pow1 |
| 430× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 131 |
| 1 | 449 | 107 |
| 2 | 6566 | 107 |
| 1× | node limit |
| Inputs |
|---|
(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 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 854× | associate-+l- |
| 774× | associate-+r- |
| 616× | fma-def |
| 558× | associate-*r* |
| 506× | associate-*l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 506 | 15011 |
| 1 | 1480 | 12399 |
| 2 | 6526 | 12395 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n)) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 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 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (*.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 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.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 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (/.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 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (*.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (*.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))) (+.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 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (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 (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))))) |
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(*.f64 (/.f64 1 (/.f64 (*.f64 n n) (log.f64 x))) (log.f64 x)) |
(*.f64 (/.f64 1 (/.f64 (*.f64 n n) (cbrt.f64 (pow.f64 (log.f64 x) 4)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 n n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) 1/3) |
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2)) -1) |
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (neg.f64 n)))) |
(sqrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3))) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
| Outputs |
|---|
(*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(neg.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) |
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (/.f64 x n)) |
(fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 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 (fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) |
(+.f64 (fma.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 x n)) (fma.f64 (-.f64 (/.f64 1/3 n) (/.f64 1/2 (*.f64 n n))) (pow.f64 x 3) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 x n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (/.f64 (log.f64 x) n))) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (*.f64 (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n))) (pow.f64 x 3)))) |
(/.f64 (+.f64 (/.f64 1 n) (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) x) |
(/.f64 (+.f64 (/.f64 1 n) (neg.f64 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)))) x) |
(/.f64 (-.f64 (/.f64 1 n) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) x) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (/.f64 1 (*.f64 n x)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) (*.f64 x x)) (+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) x)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (+.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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 -2/3 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))))) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) -2/3 (/.f64 -1 (*.f64 n n))) (pow.f64 x 3)) (+.f64 (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) (*.f64 x x)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 -2/3 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (/.f64 1 (pow.f64 n 2))) (pow.f64 x 3))) (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2))) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 (log.f64 (/.f64 1 x)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (*.f64 (pow.f64 n 2) x))) (/.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 (fma.f64 1/2 (/.f64 (-.f64 (/.f64 (*.f64 -2/3 (neg.f64 (log.f64 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (pow.f64 x 3)) (+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n))) (*.f64 x x)) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (*.f64 n n)) (*.f64 1/2 (/.f64 (neg.f64 (log.f64 x)) (*.f64 n n)))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (neg.f64 (log.f64 x)) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))))) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) -2/3 (/.f64 -1 (*.f64 n n))) (pow.f64 x 3)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (-.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) (*.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) (/.f64 11/12 (*.f64 n n))) (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) x)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (+.f64 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1 (*.f64 n n)) (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n)) (*.f64 x x)) (fma.f64 1/2 (/.f64 (fma.f64 1/2 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) (/.f64 11/12 (*.f64 n n))) (pow.f64 x 4)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) x)))) (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (neg.f64 (/.f64 (log.f64 x) n)) n) -2/3 (/.f64 -1 (*.f64 n n))) (pow.f64 x 3)) (/.f64 1/3 (*.f64 n (pow.f64 x 3))))) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) |
(neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))) (/.f64 1 n)) x)) |
(/.f64 (neg.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n))) x) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 n (pow.f64 x 2)))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))) (/.f64 1 n)) x) (/.f64 (*.f64 1/2 (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))))) (*.f64 x x))) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n)) x) (fma.f64 1/2 (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n))) (*.f64 x x)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (*.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))) (/.f64 1 n)) x) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (*.f64 1/2 (*.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))))) (/.f64 1/3 n)) (pow.f64 x 3)) (/.f64 (*.f64 1/2 (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))))) (*.f64 x x)))) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(+.f64 (-.f64 (-.f64 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n))) x)) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (/.f64 -1/3 n)) (pow.f64 x 3))) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n)) x)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (-.f64 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n))) x)) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (/.f64 -1/3 n)) (pow.f64 x 3))) (-.f64 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n)) x) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))) (/.f64 1 n)) x)) (+.f64 (*.f64 1/2 (/.f64 (+.f64 (*.f64 11/12 (/.f64 1 (pow.f64 n 2))) (*.f64 -1/2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -2/3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2))))) (*.f64 1/3 (/.f64 1 n))) (pow.f64 x 3))) (*.f64 1/2 (/.f64 (+.f64 (/.f64 1 (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 n 2)))) (pow.f64 x 2)))))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(-.f64 (fma.f64 -1 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))) (/.f64 1 n)) x) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 11/12 (*.f64 n n)) (/.f64 (*.f64 -1/2 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1))) (*.f64 n n))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (-.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (*.f64 1/2 (*.f64 -2/3 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))))) (/.f64 1/3 n)) (pow.f64 x 3)) (/.f64 (*.f64 1/2 (+.f64 (/.f64 1 (*.f64 n n)) (neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) (*.f64 n n))))) (*.f64 x x))))) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (-.f64 (-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) -1/2 (/.f64 11/12 (*.f64 n n))) (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n))) x)) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (/.f64 -1/3 n)) (pow.f64 x 3)))) (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n)) x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (fma.f64 1/2 (/.f64 (fma.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) -1/2 (/.f64 11/12 (*.f64 n n))) (pow.f64 x 4)) (-.f64 (*.f64 (/.f64 1/2 x) (/.f64 (-.f64 (/.f64 1 (*.f64 n n)) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n))) x)) (/.f64 (fma.f64 1/2 (fma.f64 -2/3 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 1 (*.f64 n n))) (/.f64 -1/3 n)) (pow.f64 x 3)))) (-.f64 (/.f64 (fma.f64 -1 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) (*.f64 n n)) (/.f64 -1 n)) x) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(/.f64 (-.f64 (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2)) |
(/.f64 (*.f64 1/2 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 n n)) |
(*.f64 1/2 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(-.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))))) |
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(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 3) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) 1/3) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)) -1) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(neg.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n (neg.f64 n)))) |
(*.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (/.f64 1 (*.f64 n (neg.f64 n)))) |
(/.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (*.f64 n (neg.f64 n))) |
(sqrt.f64 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) 1)) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2))) |
(/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log1p.f64 x) n) 2) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) 1) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (log.f64 x) (*.f64 (log.f64 x) (pow.f64 n -2))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n -2)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 1 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (cbrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 n -2))) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 (pow.f64 n -2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (/.f64 (pow.f64 (log.f64 x) 2) n) (/.f64 1 n)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (pow.f64 n -2) (pow.f64 (log.f64 x) 2)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 (log.f64 x) 2) n)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (/.f64 1 (*.f64 n (neg.f64 n)))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) (neg.f64 (pow.f64 (log.f64 x) 2))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 n (neg.f64 n))) |
(*.f64 (/.f64 (log.f64 x) 1) (/.f64 (log.f64 x) (*.f64 n n))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) (neg.f64 (pow.f64 (log.f64 x) 2))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 n (neg.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (*.f64 n n)) (log.f64 x)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 (pow.f64 n 4))) (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 n n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) 1) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 n n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 n n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 n 4))) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (cbrt.f64 (pow.f64 n 4)))) |
(/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (/.f64 (cbrt.f64 (pow.f64 n 4)) (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 n n) (log.f64 x))) (log.f64 x)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(*.f64 (/.f64 1 (/.f64 (*.f64 n n) (cbrt.f64 (pow.f64 (log.f64 x) 4)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 n n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (*.f64 n n)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n)) |
(*.f64 (cbrt.f64 (pow.f64 (log.f64 x) 4)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 n n))) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 1) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 3) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(pow.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3) 1/3) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(pow.f64 (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2)) -1) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(neg.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n (neg.f64 n)))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) (neg.f64 (pow.f64 (log.f64 x) 2))) |
(/.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (*.f64 n (neg.f64 n))) |
(sqrt.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 4)) |
(log.f64 (exp.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(cbrt.f64 (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (log.f64 x) 2) 3) (pow.f64 (*.f64 n n) 3))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(expm1.f64 (log1p.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(exp.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) 1)) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
(log1p.f64 (expm1.f64 (pow.f64 (/.f64 (log.f64 x) n) 2))) |
(/.f64 (pow.f64 (neg.f64 (log.f64 x)) 2) (*.f64 n n)) |
(pow.f64 (/.f64 (log.f64 x) n) 2) |
Compiled 63228 to 35099 computations (44.5% saved)
39 alts after pruning (37 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1541 | 33 | 1574 |
| Fresh | 4 | 4 | 8 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1548 | 39 | 1587 |
| Status | Error | Program |
|---|---|---|
| 27.21% | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| ▶ | 51.56% | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| 44.26% | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) | |
| ▶ | 27.73% | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 43.96% | (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n)) | |
| 43.96% | (/.f64 (pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) | |
| 27.33% | (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) | |
| 43.94% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 27.26% | (/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) n) | |
| 27.17% | (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) n) | |
| 27.59% | (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) | |
| 27.19% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 62.61% | (/.f64 (/.f64 1 x) n) | |
| 62.58% | (/.f64 (/.f64 1 n) x) | |
| 63.92% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| ✓ | 27.18% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 64.97% | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) | |
| 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| 63.29% | (/.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) (*.f64 x n)) | |
| 63.49% | (/.f64 (+.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 27.57% | (/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 64.94% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| ▶ | 27.06% | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 27.59% | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 27.59% | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ▶ | 63.57% | (/.f64 1 (*.f64 x n)) |
| 64.83% | (-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) | |
| 64.85% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| ▶ | 76.7% | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 83.77% | (-.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))) | |
| 35.8% | (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 -4/3 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))) (pow.f64 n 2)))) | |
| 65.01% | (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) | |
| 48% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 66.66% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 51.58% | (+.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))) | |
| 42.59% | (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) | |
| 27.17% | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) | |
| 66.67% | (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
Compiled 1540 to 1095 computations (28.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.02% | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.22% | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| ✓ | 3.17% | (log.f64 (/.f64 (+.f64 x 1) x)) |
Compiled 27 to 17 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | n | @ | 0 | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 1× | batch-egg-rewrite |
| 1480× | associate-*r/ |
| 1428× | associate-/r* |
| 1094× | associate-/l* |
| 1058× | associate-*l/ |
| 986× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 209 | 49 |
| 2 | 2816 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 x 1) x)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
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(log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (log.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)))))) |
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n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (+.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x 1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (+.f64 x 1))))) (#(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 x 1)) x) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 x 1) (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 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.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 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) 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 x 1)) -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 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) |
| 1× | egg-herbie |
| 1564× | associate-/r* |
| 788× | associate-+l+ |
| 654× | associate-+r+ |
| 636× | +-commutative |
| 514× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 0) |
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 1 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(-.f64 0 (log.f64 (/.f64 x (+.f64 x 1)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (+.f64 (log.f64 (+.f64 x -1)) (log.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x)) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (/.f64 x (+.f64 x 1))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1) |
(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.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 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.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 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.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 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.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 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(neg.f64 (/.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 (*.f64 -1/2 (*.f64 x x)) n))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (*.f64 (/.f64 x 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 -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 (*.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 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 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.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 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.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 -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 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))) |
(/.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 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.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 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.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 -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 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
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(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) x))) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 x (fma.f64 x x -1)))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) x)) (fma.f64 x x -1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 (+.f64 (pow.f64 x 3) -1) x)) (+.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 x (fma.f64 x x -1))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x x) -1)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (+.f64 -1 x)))) (+.f64 -1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) x)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 x)) |
(/.f64 (-.f64 -1 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(fabs.f64 (+.f64 1 (/.f64 1 x))) |
(fabs.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 1.54% | (/.f64 1 (*.f64 x n)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | 0 | (/.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 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.02% | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 7.08% | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
Compiled 32 to 17 computations (46.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | 0 | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | -inf | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1084× | *-commutative |
| 1012× | associate-/r* |
| 794× | associate-/l* |
| 682× | distribute-lft-in |
| 654× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 31 |
| 1 | 230 | 31 |
| 2 | 3284 | 31 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
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n))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (/.f64 1 n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 x n)) (sqrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (cbrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x n) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 n)))))))) |
| 1× | egg-herbie |
| 1242× | associate-+l- |
| 1220× | associate-*r/ |
| 958× | associate-+r- |
| 956× | associate-*l/ |
| 778× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 336 | 9430 |
| 1 | 1016 | 9014 |
| 2 | 4582 | 9010 |
| 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) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(/.f64 x n) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(/.f64 x n) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n)) |
(-.f64 (+.f64 (/.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 (log.f64 x) n)) |
(-.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 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.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 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 1)) |
(+.f64 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (+.f64 (/.f64 x n) 1) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (+.f64 (/.f64 x n) 1) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (+.f64 (/.f64 x n) 1) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n)))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (pow.f64 (*.f64 x x) (/.f64 1 n))) (*.f64 (cbrt.f64 (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (cbrt.f64 (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3)) |
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(exp.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(fma.f64 x (/.f64 1 n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (/.f64 x n)) (sqrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (cbrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x n) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 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 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) 1) (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) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 x n) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 x n) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 1)) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 1)) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(+.f64 (/.f64 x n) (-.f64 1 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) 1)) |
(/.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 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 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 x (log.f64 x)) n) |
(-.f64 (+.f64 (/.f64 x n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (-.f64 x (log.f64 x)) n)) |
(-.f64 (+.f64 (/.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 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (-.f64 x (log.f64 x)) n)) |
(-.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 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (/.f64 (log.f64 x) 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 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (-.f64 x (log.f64 x)) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) |
(neg.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n)) |
(/.f64 (*.f64 1 (-.f64 x (log.f64 x))) n) |
(/.f64 (neg.f64 (fma.f64 x -1 (log.f64 x))) n) |
(+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (fma.f64 x -1 (log.f64 x)) n)) |
(+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (fma.f64 x -1 (log.f64 x)) n)) |
(+.f64 (*.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.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 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1 (/.f64 (*.f64 -1 (-.f64 x (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)))))) |
(fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))) (/.f64 (fma.f64 x -1 (log.f64 x)) n))) |
(-.f64 (fma.f64 -1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (/.f64 (fma.f64 x -1 (log.f64 x)) n)) |
(+.f64 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 1 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 x n) (+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 1 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (*.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) 1)) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (+.f64 (/.f64 x n) 1) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (+.f64 (/.f64 x n) 1) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (/.f64 x n) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (-.f64 (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))) (pow.f64 x (/.f64 1 n)))) |
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(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (pow.f64 (*.f64 x x) (/.f64 1 n))) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) 1) (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 3) (pow.f64 x (*.f64 (/.f64 1 n) 3))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n))))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 (/.f64 x n) 1) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (/.f64 x n) (+.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 2) (*.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (fma.f64 (pow.f64 x (/.f64 1 n)) (+.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (pow.f64 (+.f64 1 (/.f64 x n)) 2))) |
(pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 1) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (sqrt.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) 2) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (cbrt.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) 3) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3) 1/3) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(sqrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 2)) |
(fabs.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (exp.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n))))))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3)) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(expm1.f64 (log.f64 (+.f64 2 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(expm1.f64 (log.f64 (-.f64 (+.f64 2 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(expm1.f64 (log.f64 (-.f64 (+.f64 (/.f64 x n) 2) (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (log.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 x (/.f64 1 n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (/.f64 x n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 1 (+.f64 (/.f64 x n) 1) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (/.f64 x n)) (sqrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (+.f64 (/.f64 x n) 1)) (sqrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2) (cbrt.f64 (/.f64 x n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (/.f64 x n) 1)) 2) (cbrt.f64 (+.f64 (/.f64 x n) 1)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.02% | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 0.19% | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| ✓ | 6.45% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
| ✓ | 17.68% | (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
Compiled 48 to 26 computations (45.8% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| 2.0ms | n | @ | -inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| 1.0ms | x | @ | -inf | (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
| 1.0ms | n | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| 1.0ms | x | @ | inf | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| 1× | batch-egg-rewrite |
| 1500× | associate-*r/ |
| 1412× | associate-/l* |
| 1108× | *-commutative |
| 1052× | associate-*l/ |
| 250× | add-sqr-sqrt |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 79 |
| 1 | 272 | 79 |
| 2 | 3233 | 79 |
| 1× | node limit |
| Inputs |
|---|
(sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1152× | associate-/l* |
| 1026× | distribute-rgt-in |
| 1022× | distribute-lft-in |
| 712× | associate-/r* |
| 674× | times-frac |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 598 | 15490 |
| 1 | 1404 | 14934 |
| 2 | 6193 | 14934 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
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(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1/2 n)))) (neg.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (cbrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (pow.f64 n -1/2)) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 (cbrt.f64 (*.f64 n n)))) (cbrt.f64 n)) |
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4)) (sqrt.f64 (pow.f64 x (/.f64 1/2 n)))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (cbrt.f64 (pow.f64 x (/.f64 1/2 n)))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (pow.f64 x (/.f64 1/2 n))) x) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (pow.f64 x (/.f64 1/2 n))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) x) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) 1) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (cbrt.f64 n)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) 1) (*.f64 x n)) |
(/.f64 (*.f64 -1 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (neg.f64 n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) x)) n) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) n) |
(/.f64 (*.f64 (pow.f64 n -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) 1) (sqrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) 1) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (sqrt.f64 n))) 1) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (cbrt.f64 (*.f64 n n)))) 1) (cbrt.f64 n)) |
(/.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 1) (neg.f64 n)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 1) (neg.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 n)) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (neg.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 n)) |
(/.f64 (*.f64 1 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 n)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 1 n)) (/.f64 x (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 n)) (neg.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 x)) (/.f64 1 n)) (sqrt.f64 x)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x x))) (/.f64 1 n)) (cbrt.f64 x)) |
(/.f64 (*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) x) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (cbrt.f64 (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) x) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (*.f64 x n))) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n)))) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
| Outputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.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 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.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 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.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 (neg.f64 (neg.f64 (/.f64 (log.f64 x) n)))) (*.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 (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 (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 (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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))) 1) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 1) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 1 1/2)) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) |
(*.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4)) |
(sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (/.f64 1 (*.f64 x n)))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 1 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (/.f64 1 (*.f64 x n)) 1/2)) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (/.f64 1 (*.f64 x n)))) |
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(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 n))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x (neg.f64 n)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (cbrt.f64 n)) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (pow.f64 n -1/2)) (sqrt.f64 n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 n -1/2)) (*.f64 x (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (pow.f64 n -1/2) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 (cbrt.f64 (*.f64 n n)))) (cbrt.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 n) (*.f64 x (cbrt.f64 (*.f64 n n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 (cbrt.f64 n) x) (cbrt.f64 (*.f64 n n)))) |
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4)) (sqrt.f64 (pow.f64 x (/.f64 1/2 n)))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4))) |
(/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (cbrt.f64 (pow.f64 x (/.f64 1/2 n)))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (/.f64 (cbrt.f64 (sqrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 x (/.f64 1/2 n))))) |
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (pow.f64 x (/.f64 1/2 n)))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (pow.f64 x (/.f64 1/2 n))) x) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (pow.f64 x (/.f64 1/2 n))) (cbrt.f64 (*.f64 x n))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) x) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (*.f64 x n))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) 1) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n))) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x n))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 n))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) (cbrt.f64 n)) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (cbrt.f64 n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)))) |
(*.f64 (/.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 n)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) 1) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 -1 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (neg.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) x)) n) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) n) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (pow.f64 n -1/2) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (sqrt.f64 n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 n -1/2)) (*.f64 x (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (pow.f64 n -1/2) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 n) (*.f64 x (cbrt.f64 (*.f64 n n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 (cbrt.f64 n) x) (cbrt.f64 (*.f64 n n)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) 1) (sqrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) 1) (cbrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (sqrt.f64 n))) 1) (sqrt.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (sqrt.f64 n) (*.f64 x (sqrt.f64 n)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (cbrt.f64 (*.f64 n n)))) 1) (cbrt.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 n) (*.f64 x (cbrt.f64 (*.f64 n n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 (cbrt.f64 n) x) (cbrt.f64 (*.f64 n n)))) |
(/.f64 (*.f64 (neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) 1) (neg.f64 n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) 1) (neg.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (/.f64 (sqrt.f64 (*.f64 x (neg.f64 n))) (sqrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (/.f64 (sqrt.f64 n) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (sqrt.f64 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (neg.f64 (sqrt.f64 (*.f64 x n)))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (sqrt.f64 (sqrt.f64 (*.f64 x n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1/4))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 (*.f64 x (neg.f64 n))) (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x (neg.f64 n)))) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) (cbrt.f64 n)) |
(/.f64 (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) (/.f64 (cbrt.f64 n) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) (cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2))) |
(/.f64 (*.f64 1 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1 n)) n)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))) (cbrt.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n))) |
(/.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 4) (cbrt.f64 (/.f64 n (/.f64 (pow.f64 x (/.f64 1 n)) x)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (*.f64 x n))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))) (cbrt.f64 (*.f64 x n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 4)) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))) (cbrt.f64 (*.f64 x (neg.f64 n)))) |
(*.f64 (/.f64 (cbrt.f64 (neg.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (*.f64 x (neg.f64 n)))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 4)) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))))) (cbrt.f64 n)) |
(/.f64 (*.f64 (*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))) (cbrt.f64 n)) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 4)) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 1 n)) (/.f64 x (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 n)) (neg.f64 x)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 x)) (/.f64 1 n)) (sqrt.f64 x)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (sqrt.f64 x)) (sqrt.f64 x))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (*.f64 (sqrt.f64 x) (sqrt.f64 x)))) |
(/.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x x))) (/.f64 1 n)) (cbrt.f64 x)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (*.f64 (cbrt.f64 x) (cbrt.f64 (*.f64 x x))))) |
(/.f64 (*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) x) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (cbrt.f64 (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) n) x) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) x) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (*.f64 x n))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 2)) |
(fabs.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.22% | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) | |
| ✓ | 0.44% | (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| ✓ | 0.56% | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 3.35% | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 39 to 10 computations (74.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 2.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 2.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 1.0ms | n | @ | -inf | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| 1× | batch-egg-rewrite |
| 1482× | associate-*r/ |
| 1242× | associate-/r* |
| 1108× | associate-/l* |
| 1084× | *-commutative |
| 1054× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 1 | 259 | 46 |
| 2 | 3234 | 46 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
| Outputs |
|---|
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(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))))) |
| 1× | egg-herbie |
| 1336× | associate-/l* |
| 978× | times-frac |
| 970× | associate-*r* |
| 772× | associate-/r* |
| 722× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 734 | 17708 |
| 1 | 1974 | 17536 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) |
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(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
| Outputs |
|---|
(*.f64 -1 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (*.f64 -1 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1))) |
(-.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (/.f64 (log.f64 x) n)) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 x)) n) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (*.f64 -1/3 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (*.f64 x x) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1)))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (/.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (cbrt.f64 -1) (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/3)))))))) (*.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (cbrt.f64 -1))) 1/3))) -1/3))) (*.f64 x x) (-.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 x)) n) 1/3) (*.f64 (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1))))) (cbrt.f64 -1))) (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))))))) (pow.f64 x 2)) (+.f64 (*.f64 -1 (*.f64 (/.f64 (log.f64 x) n) (pow.f64 1 1/3))) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) (pow.f64 n 13)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 14) (pow.f64 (log.f64 x) 4))) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))) (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (*.f64 n 1) (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3)))) (cbrt.f64 -1)))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (*.f64 (pow.f64 (/.f64 (*.f64 1 (log.f64 x)) n) 1/3) (*.f64 (+.f64 (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 n (pow.f64 (log.f64 x) 8))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 (*.f64 n 1) (log.f64 x)) 1/3) (/.f64 (-.f64 (*.f64 1/3 (/.f64 1 n)) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/2 (/.f64 1 n)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (*.f64 (pow.f64 n 17) (log.f64 x))) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))))))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (pow.f64 x 3))))) |
(fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (cbrt.f64 -1) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (*.f64 -1/3 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))))))) (*.f64 x x) (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18) (pow.f64 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 13)) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1) x (*.f64 (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18)) (*.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (fma.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))) (fma.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 14))) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))) (*.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 -1)))))) (+.f64 (*.f64 1/3 (-.f64 (/.f64 1/3 n) (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18)) (*.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2))))))))) (*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 n (pow.f64 (log.f64 x) 8))) 1/18) (pow.f64 (/.f64 1 (*.f64 n (pow.f64 (log.f64 x) 8))) 1/18)) (*.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (-.f64 (/.f64 1/3 n) (fma.f64 -2/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18) (pow.f64 (/.f64 1 (*.f64 (pow.f64 n 4) (pow.f64 (log.f64 x) 5))) 1/18)) (*.f64 (+.f64 (/.f64 1/2 n) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18) (pow.f64 (/.f64 (/.f64 1 (pow.f64 n 17)) (log.f64 x)) 1/18))) (cbrt.f64 (/.f64 1 (cbrt.f64 -1))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (*.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) (cbrt.f64 (/.f64 1 (*.f64 (pow.f64 n 7) (pow.f64 (log.f64 x) 2)))))))) (cbrt.f64 -1)))))))))) (pow.f64 x 3))))) |
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(/.f64 1 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) 1) (/.f64 (cbrt.f64 n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n)) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) |
(/.f64 (*.f64 (pow.f64 1 1/3) (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (cbrt.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (neg.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (neg.f64 (cbrt.f64 n))) |
(/.f64 (neg.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (cbrt.f64 n))) |
(*.f64 1 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (cbrt.f64 (neg.f64 n))) |
(/.f64 (cbrt.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (cbrt.f64 (+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (*.f64 (neg.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (neg.f64 (cbrt.f64 n))) |
(/.f64 (neg.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 (cbrt.f64 n))) |
(*.f64 1 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(/.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6)) (sqrt.f64 (cbrt.f64 n))) |
(/.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6) (/.f64 (sqrt.f64 (cbrt.f64 n)) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (cbrt.f64 n))) (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6)) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2)) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2) (/.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 2) (cbrt.f64 (cbrt.f64 n))) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) 1/3)) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) (/.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (cbrt.f64 n))) (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (cbrt.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 (log.f64 x) (log1p.f64 x))))) (cbrt.f64 (/.f64 1 n)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) (cbrt.f64 (/.f64 1 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (/.f64 1 n))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (cbrt.f64 (/.f64 1 n)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (cbrt.f64 (/.f64 1 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (cbrt.f64 n))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (cbrt.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 (log.f64 x) (log1p.f64 x))))) (/.f64 1 (cbrt.f64 n)))) |
(/.f64 (cbrt.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 (log.f64 x) (log1p.f64 x))))) (cbrt.f64 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (cbrt.f64 n))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 1 (cbrt.f64 n)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (cbrt.f64 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (/.f64 1 n) 1/3)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (cbrt.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 (log.f64 x) (log1p.f64 x))))) (cbrt.f64 (/.f64 1 n)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) (cbrt.f64 (/.f64 1 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (/.f64 1 n) 1/3)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (cbrt.f64 (/.f64 1 n)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) (cbrt.f64 (/.f64 1 n))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (cbrt.f64 n)) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 1 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (sqrt.f64 (cbrt.f64 n)) (sqrt.f64 (cbrt.f64 n)))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n))))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (pow.f64 (cbrt.f64 n) 2)))) |
(/.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (sqrt.f64 n)) (cbrt.f64 (sqrt.f64 n)))) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/3) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1/6) 2) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 3) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(log.f64 (exp.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(expm1.f64 (log1p.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(exp.f64 (log.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log1p.f64 (expm1.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
Compiled 39014 to 20022 computations (48.7% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1609 | 16 | 1625 |
| Fresh | 11 | 21 | 32 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 1624 | 40 | 1664 |
| Status | Error | Program |
|---|---|---|
| 82.42% | (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 3) 2) | |
| 44.26% | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) | |
| 65.46% | (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3) | |
| 43.96% | (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n)) | |
| ▶ | 48% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| 43.94% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 43.95% | (/.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) | |
| 42.61% | (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) | |
| 27.17% | (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) n) | |
| 62.61% | (/.f64 (/.f64 1 x) n) | |
| 62.58% | (/.f64 (/.f64 1 n) x) | |
| 63.92% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| ▶ | 64.97% | (/.f64 (-.f64 x (log.f64 x)) n) |
| 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) | |
| ▶ | 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 63.29% | (/.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) (*.f64 x n)) | |
| 63.49% | (/.f64 (+.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 48.2% | (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) | |
| 64.94% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 30.42% | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) | |
| 27.13% | (/.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)) n) | |
| 59.33% | (/.f64 (log.f64 1) n) | |
| ▶ | 95.47% | (/.f64 x n) |
| 27.21% | (/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ✓ | 63.57% | (/.f64 1 (*.f64 x n)) |
| 64.83% | (-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) | |
| 64.85% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| ✓ | 76.7% | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 83.77% | (-.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))) | |
| 35.8% | (-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 -4/3 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))) (pow.f64 n 2)))) | |
| 67.38% | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 65.01% | (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) | |
| 48% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 66.66% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 51.58% | (+.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))) | |
| 42.59% | (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) | |
| 62.59% | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| ▶ | 27.05% | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 48.09% | (*.f64 n (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) | |
| 77.07% | (cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3)) |
Compiled 1489 to 1071 computations (28.1% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.02% | (/.f64 (+.f64 x 1) x) | |
| ✓ | 0.24% | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 3.17% | (log.f64 (/.f64 (+.f64 x 1) x)) |
Compiled 32 to 21 computations (34.4% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 0.0ms | n | @ | -inf | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 0.0ms | x | @ | -inf | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 0.0ms | x | @ | inf | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 0.0ms | n | @ | 0 | (*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| 1× | batch-egg-rewrite |
| 1484× | associate-*r/ |
| 1218× | associate-/r* |
| 1088× | associate-*l/ |
| 1042× | *-commutative |
| 888× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 23 |
| 1 | 230 | 21 |
| 2 | 3011 | 21 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
| Outputs |
|---|
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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 cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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))))))) |
| 1× | egg-herbie |
| 926× | *-commutative |
| 918× | div-sub |
| 690× | distribute-lft-in |
| 668× | distribute-frac-neg |
| 664× | distribute-rgt-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 283 | 4156 |
| 1 | 719 | 3976 |
| 2 | 2979 | 3972 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(*.f64 -1 (/.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 (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 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 (neg.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 -1 (/.f64 (neg.f64 n) (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (/.f64 (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (/.f64 (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (pow.f64 n -2))) (cbrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (cbrt.f64 (*.f64 n n))) |
(/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) n) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) (cbrt.f64 n)) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 n)) |
(/.f64 (*.f64 1 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)) (neg.f64 n)) |
(/.f64 (*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1)) n) |
(/.f64 (*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n)))) (cbrt.f64 n)) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (neg.f64 n)) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (/.f64 1 n) (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) 1) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 -1)) (sqrt.f64 (neg.f64 n))) |
(/.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (pow.f64 n -2))) 1) (cbrt.f64 n)) |
(/.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (pow.f64 n -2))) -1) (cbrt.f64 (neg.f64 n))) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 n)) |
(/.f64 (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 n)) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (sqrt.f64 n)) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (/.f64 1 n)) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 n)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) 1) (neg.f64 n)) |
(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1) n) |
(/.f64 (*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) 1) (cbrt.f64 n)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (neg.f64 n)) |
(/.f64 (*.f64 (sqrt.f64 -1) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) (sqrt.f64 (neg.f64 n))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) (cbrt.f64 n)) |
(/.f64 (*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) (cbrt.f64 (*.f64 n n))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) (cbrt.f64 (*.f64 n n))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.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) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) (cbrt.f64 (*.f64 n n))) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) 1) (neg.f64 n)) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n))) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (cbrt.f64 (*.f64 n n))) (neg.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) -1) n) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n))) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (*.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1) (neg.f64 (cbrt.f64 (*.f64 n n)))) (cbrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) 1) n) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) 1) (sqrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (cbrt.f64 n)) (cbrt.f64 (sqrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 (sqrt.f64 n))) (sqrt.f64 (sqrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 (cbrt.f64 (*.f64 n n)))) (sqrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) 1) (cbrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) (sqrt.f64 (cbrt.f64 n))) (sqrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) (*.f64 (cbrt.f64 (cbrt.f64 n)) (cbrt.f64 (cbrt.f64 n)))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (sqrt.f64 n))) (cbrt.f64 (sqrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (cbrt.f64 (*.f64 n n)))) (cbrt.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (neg.f64 n)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (neg.f64 (sqrt.f64 n))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (neg.f64 (cbrt.f64 n))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) -1) n) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (neg.f64 n))) (sqrt.f64 (neg.f64 n))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (cbrt.f64 (neg.f64 n)) (cbrt.f64 (neg.f64 n)))) (cbrt.f64 (neg.f64 n))) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 (cbrt.f64 (*.f64 n n)))) (cbrt.f64 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) |
(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)) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) (neg.f64 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 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 (log.f64 x) (neg.f64 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 (fma.f64 -1/2 (/.f64 x (/.f64 n x)) (/.f64 (log.f64 x) (neg.f64 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 (pow.f64 n -1) x) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
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(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 (cbrt.f64 n) (cbrt.f64 (*.f64 n n)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (pow.f64 (/.f64 (+.f64 1 x) x) (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (*.f64 (/.f64 (pow.f64 n -2) n) (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Compiled 7 to 3 computations (57.1% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.01% | (-.f64 x (log.f64 x)) |
| ✓ | 0.22% | (/.f64 (-.f64 x (log.f64 x)) n) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | 0 | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1258× | associate-*r/ |
| 1224× | associate-/r* |
| 1088× | associate-/l* |
| 896× | *-commutative |
| 892× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 173 | 28 |
| 2 | 2505 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 x (log.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) 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| 1× | egg-herbie |
| 1220× | associate-+r+ |
| 1212× | associate-+l+ |
| 988× | +-commutative |
| 682× | associate-/l* |
| 658× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 7202 |
| 1 | 1205 | 6914 |
| 2 | 6541 | 6890 |
| 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 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
x |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.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 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 x n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1) |
(*.f64 (-.f64 x (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 x (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) n) (cbrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) (cbrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 x (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 x (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(+.f64 x (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.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 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 x (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))) |
(+.f64 (-.f64 x (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))) |
(+.f64 (-.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 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (-.f64 x (log.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) x) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 x (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (neg.f64 (log.f64 x)) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) (-.f64 x (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) (-.f64 x (log.f64 x))) |
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) (-.f64 x (log.f64 x))) |
(+.f64 (-.f64 x (exp.f64 (log1p.f64 (log.f64 x)))) 1) |
(*.f64 (-.f64 x (log.f64 x)) 1) |
(*.f64 1 (-.f64 x (log.f64 x))) |
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (/.f64 1 (+.f64 x (log.f64 x)))) |
(*.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(*.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x)))) |
(*.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))) (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (+.f64 x (log.f64 x))) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (*.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) |
(/.f64 (-.f64 x (log.f64 x)) 1) |
(/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 1 (sqrt.f64 (-.f64 x (log.f64 x))))) |
(/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 1 (cbrt.f64 (-.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (+.f64 x (log.f64 x))) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (/.f64 1 (/.f64 1 (+.f64 x (log.f64 x))))) |
(/.f64 (+.f64 x (log.f64 x)) (/.f64 (+.f64 x (log.f64 x)) (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (/.f64 1 (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) |
(/.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (/.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (-.f64 x (log.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (/.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (/.f64 (+.f64 x (log.f64 x)) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (/.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (/.f64 (+.f64 x (log.f64 x)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (neg.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (*.f64 1 (neg.f64 (+.f64 x (log.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (*.f64 1 (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) |
(/.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 x) (sqrt.f64 (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (-.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 1 (-.f64 x (neg.f64 (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) (*.f64 1 (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (neg.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) 1) (neg.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) 1) (-.f64 x (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (sqrt.f64 (-.f64 x (log.f64 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) 1) (+.f64 x (log.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (+.f64 x (log.f64 x))))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) 1) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(pow.f64 (-.f64 x (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 2)) |
(log.f64 (/.f64 (exp.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 x (log.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 x)))) |
(fma.f64 1 x (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x))) |
| Outputs |
|---|
(*.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 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 x n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
x |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) n)) |
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (-.f64 x (log.f64 x)) (log.f64 x)) (log.f64 x))) |
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (log.f64 x) (-.f64 x (log.f64 x))) (log.f64 x))) |
(+.f64 (/.f64 (-.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 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) n)) |
(+.f64 (/.f64 (-.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 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) n)) |
(+.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (-.f64 x (log.f64 x)) (/.f64 1 n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 1 (/.f64 (-.f64 x (log.f64 x)) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))) |
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(/.f64 (*.f64 1 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 (log.f64 x)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) 1) (neg.f64 (+.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) 1) (neg.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) 1) (-.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) 1) (+.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 x (neg.f64 (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (sqrt.f64 (-.f64 x (log.f64 x)))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (sqrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(*.f64 (/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (neg.f64 (log.f64 x)) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (+.f64 x (log.f64 x))) (sqrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (log.f64 x) 4)) (+.f64 x (log.f64 x))) (+.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (log.f64 x) 2)) (fma.f64 x x (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (+.f64 x (log.f64 x))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (log.f64 x) 2) (fma.f64 x x (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) 1) (+.f64 x (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (+.f64 x (log.f64 x))))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) 1) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(pow.f64 (-.f64 x (log.f64 x)) 1) |
(-.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) |
(-.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) |
(-.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) |
(-.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 2)) |
(fabs.f64 (-.f64 x (log.f64 x))) |
(log.f64 (/.f64 (exp.f64 x) x)) |
(-.f64 x (log.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x))))) |
(-.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3)) |
(-.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(exp.f64 (log.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(fma.f64 1 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.03% | (+.f64 1 (pow.f64 x (/.f64 1 n))) |
| ✓ | 0.03% | (pow.f64 x (/.f64 2 n)) |
| ✓ | 0.05% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| ✓ | 3.88% | (-.f64 1 (pow.f64 x (/.f64 2 n))) |
Compiled 51 to 35 computations (31.4% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 1.0ms | n | @ | inf | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 1.0ms | n | @ | -inf | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 1.0ms | x | @ | 0 | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 1× | batch-egg-rewrite |
| 1652× | associate-/l* |
| 1198× | associate-/r/ |
| 788× | distribute-lft-in |
| 676× | associate-/l/ |
| 308× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 13 | 94 |
| 1 | 298 | 70 |
| 2 | 4180 | 70 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (pow.f64 x (/.f64 2 n))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 2 n)) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (+.f64 1 (pow.f64 x (/.f64 2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 1 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 1 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| 1× | egg-herbie |
| 1564× | associate-/l* |
| 1476× | associate-*l* |
| 1440× | associate-/r* |
| 858× | *-commutative |
| 836× | associate-*r/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 739 | 18768 |
| 1 | 2370 | 18246 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
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(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
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(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
1 |
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1 |
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(+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
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(+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
2 |
(+.f64 (/.f64 (log.f64 x) n) 2) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
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2 |
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(/.f64 1 (/.f64 1 (-.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) 1) |
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(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 3)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (-.f64 (+.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3))) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 3)) |
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(fma.f64 1 (pow.f64 x (/.f64 1 n)) 1) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) 1) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) |
(-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) |
(*.f64 -2 (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 (log.f64 x) n) -2) |
(/.f64 -2 (/.f64 n (log.f64 x))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(*.f64 -2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(fma.f64 -2 (/.f64 (log.f64 x) n) (fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (+.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 -2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) |
(fma.f64 -2 (/.f64 (log.f64 x) n) (fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) |
(*.f64 -2 (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 (log.f64 x) n) -2) |
(/.f64 -2 (/.f64 n (log.f64 x))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(*.f64 -2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(fma.f64 -2 (/.f64 (log.f64 x) n) (fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (*.f64 -2 (/.f64 (log.f64 x) n)) (+.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 -2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) |
(fma.f64 -2 (/.f64 (log.f64 x) n) (fma.f64 -4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 -2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 -2/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (+.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (+.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (+.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n)))) (+.f64 1 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n))) (+.f64 1 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) (+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (exp.f64 (*.f64 2 (/.f64 (log.f64 x) n)))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 1 (pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log.f64 x) n)))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(+.f64 (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 -2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 x) 2)) (*.f64 -1/2 (pow.f64 (log.f64 x) 2))) (log.f64 x)) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
(-.f64 (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) -2/3))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 x) 2) -1/2) (/.f64 (pow.f64 n 3) (log.f64 x))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)))) |
(-.f64 (fma.f64 -1 (/.f64 (log.f64 x) n) (fma.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) -2/3))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (fma.f64 1/2 (/.f64 (*.f64 -1/2 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1/3 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 -2/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) (+.f64 (*.f64 1/4 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 x) 2)) (*.f64 -1/2 (pow.f64 (log.f64 x) 2))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 4))) (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 x) 2)) (*.f64 -1/2 (pow.f64 (log.f64 x) 2))) (log.f64 x)) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -2/3 (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 -1/4 (pow.f64 (log.f64 x) 3)) (*.f64 1/2 (*.f64 (-.f64 (*.f64 -1 (pow.f64 (log.f64 x) 2)) (*.f64 -1/2 (pow.f64 (log.f64 x) 2))) (log.f64 x))))) (log.f64 x)) (pow.f64 n 4))))))))) |
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(*.f64 -1 (/.f64 (log.f64 x) n)) |
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(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
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(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
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(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
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(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log.f64 x)) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
1 |
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(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 1 (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
(+.f64 1 (fma.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) |
1 |
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(+.f64 1 (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
(+.f64 1 (fma.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))))) |
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(+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
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(+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(+.f64 1 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(+.f64 1 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
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(+.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
2 |
(+.f64 (/.f64 (log.f64 x) n) 2) |
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 2 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 2 (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2))) |
(+.f64 2 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 2 (+.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)))))) |
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2 |
(+.f64 (/.f64 (log.f64 x) n) 2) |
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(+.f64 2 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2))) |
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(+.f64 (/.f64 (log.f64 x) n) (+.f64 2 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 1/6)))) |
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(-.f64 1 (pow.f64 x (/.f64 2 n))) |
(+.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1)) |
(-.f64 1 (pow.f64 x (/.f64 2 n))) |
(+.f64 1 (*.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1))) |
(-.f64 1 (pow.f64 x (/.f64 2 n))) |
(+.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1) |
(-.f64 1 (pow.f64 x (/.f64 2 n))) |
(+.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 1) 1) |
(-.f64 1 (pow.f64 x (/.f64 2 n))) |
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(/.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 2) (/.f64 (+.f64 -1 (pow.f64 x (/.f64 1 n))) (neg.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n)))) (/.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (+.f64 1 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (*.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n)))) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (*.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 4 n))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (/.f64 1 (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3))) (/.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (*.f64 2 (/.f64 2 n)))))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3))) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (*.f64 2 (/.f64 2 n))))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3))) (*.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(/.f64 (/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (*.f64 1 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 -1 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))))) |
(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (+.f64 -1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (/.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (/.f64 (sqrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))))) |
(*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n)))) (/.f64 (+.f64 -1 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) (/.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (cbrt.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (neg.f64 (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))))) (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))) 2)) (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 1 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (-.f64 -1 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (*.f64 1 (neg.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (-.f64 -1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (+.f64 (-.f64 -1 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n))))) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (neg.f64 (+.f64 1 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 4 n)))) (*.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x (/.f64 4 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 2 (/.f64 2 n))))) (*.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 4 n)))) (*.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 x (/.f64 4 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (pow.f64 x (/.f64 2 n)))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3)))) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (*.f64 2 (/.f64 2 n)))))))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 6 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))) (+.f64 -1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3)))) (*.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (*.f64 2 (/.f64 2 n))))))) |
(/.f64 (/.f64 (neg.f64 (-.f64 1 (pow.f64 x (/.f64 6 n)))) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 -1 (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 4 n)))) (+.f64 -1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 1 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n))))) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (-.f64 1 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 1 (pow.f64 x (/.f64 2 n))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) 1) (-.f64 (pow.f64 x (/.f64 1 n)) 1)) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) 1) (*.f64 1 (-.f64 (pow.f64 x (/.f64 1 n)) 1))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (neg.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (+.f64 -1 (pow.f64 x (/.f64 2 n))) (+.f64 -1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 3)) (*.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) (+.f64 1 (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 3)) (*.f64 (+.f64 1 (-.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (pow.f64 x (/.f64 2 n))))) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (+.f64 1 (pow.f64 (neg.f64 (pow.f64 x (/.f64 2 n))) 3)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (-.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (-.f64 -1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (-.f64 (+.f64 1 (pow.f64 x (*.f64 (/.f64 2 n) 3))) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 3)) (*.f64 (+.f64 1 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 1 n)))) (-.f64 (+.f64 1 (pow.f64 x (/.f64 6 n))) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)))) |
(/.f64 (+.f64 1 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (-.f64 1 (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 6 n)) (-.f64 1 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))))) |
(pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 1) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 2) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))) 3) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (pow.f64 x (/.f64 1 n)))))) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))) 3)) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (*.f64 (log1p.f64 (pow.f64 x (/.f64 1 n))) 1)) |
(exp.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(log1p.f64 (expm1.f64 (+.f64 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(fma.f64 1 (pow.f64 x (/.f64 1 n)) 1) |
(+.f64 1 (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) |
(fma.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n))) 1) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4% | (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
| ✓ | 0.95% | (cbrt.f64 x) |
| ✓ | 6.45% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| ✓ | 52.67% | (cbrt.f64 (*.f64 x x)) |
Compiled 50 to 17 computations (66% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
| 2.0ms | x | @ | -inf | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| 2.0ms | x | @ | 0 | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| 1.0ms | n | @ | 0 | (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
| 1.0ms | n | @ | 0 | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| 1× | batch-egg-rewrite |
| 1564× | associate-*r/ |
| 1244× | associate-*l/ |
| 406× | distribute-lft-neg-in |
| 298× | distribute-rgt-in |
| 280× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 88 |
| 1 | 283 | 48 |
| 2 | 3749 | 48 |
| 1× | node limit |
| Inputs |
|---|
(cbrt.f64 (*.f64 x x)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(cbrt.f64 x) |
(*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x))) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 x) 2/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (/.f64 1 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 n) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 n) x) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n (cbrt.f64 x))) (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n (neg.f64 x))) (neg.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 n (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 n (cbrt.f64 x))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) 1) (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 x n)) (pow.f64 x (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (/.f64 (pow.f64 x (/.f64 1/2 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (cbrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 n (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 n (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) (pow.f64 x (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 1 n)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (*.f64 x n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x x) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 n (neg.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 n) x) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (sqrt.f64 n)) (pow.f64 n -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (neg.f64 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) x) (/.f64 1 (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 n (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 n) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 n (cbrt.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 n (cbrt.f64 x)) 3) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x n))))))) |
| 1× | egg-herbie |
| 1172× | associate-/r/ |
| 710× | distribute-rgt-in |
| 706× | distribute-lft-in |
| 536× | associate-/r* |
| 428× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 306 | 3793 |
| 1 | 740 | 3669 |
| 2 | 3358 | 3663 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(/.f64 1 (*.f64 n x)) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 n x) |
(*.f64 -1 (*.f64 n (*.f64 (cbrt.f64 -1) x))) |
(*.f64 -1 (*.f64 n (*.f64 (cbrt.f64 -1) x))) |
(*.f64 -1 (*.f64 n (*.f64 (cbrt.f64 -1) x))) |
(*.f64 -1 (*.f64 n (*.f64 (cbrt.f64 -1) x))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1) |
(*.f64 (pow.f64 (cbrt.f64 x) 2) 1) |
(*.f64 1 (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (cbrt.f64 x) (cbrt.f64 x)) |
(*.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x))) |
(*.f64 (sqrt.f64 x) (pow.f64 x 1/6)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (*.f64 x (cbrt.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x))) |
(*.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(*.f64 (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (pow.f64 1 1/3) (pow.f64 (cbrt.f64 x) 2)) |
(*.f64 (pow.f64 (*.f64 x (cbrt.f64 x)) 1/3) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(pow.f64 x 2/3) |
(pow.f64 (*.f64 x x) 1/3) |
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1) |
(pow.f64 (cbrt.f64 x) 2) |
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) 3) |
(sqrt.f64 (*.f64 x (cbrt.f64 x))) |
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))) |
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) |
(exp.f64 (*.f64 (log.f64 x) 2/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) 2) 1/3)) |
(exp.f64 (*.f64 (*.f64 (log.f64 x) 2/3) 1)) |
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (/.f64 1 n) x))) |
(*.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 1 n) x))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (cbrt.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 1 n) x) (pow.f64 x (/.f64 1 n))) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (cbrt.f64 x)))) |
(*.f64 (/.f64 1 (*.f64 n (cbrt.f64 x))) (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1 n)) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 x))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 n (cbrt.f64 x)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 n (cbrt.f64 x))) (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) 1) (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (*.f64 x n)) (pow.f64 x (/.f64 1/2 n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (/.f64 (pow.f64 x (/.f64 1/2 n)) x)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (pow.f64 x (/.f64 1/2 n)) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 n (cbrt.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 n (cbrt.f64 x))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) (pow.f64 x (/.f64 1/2 n))) |
(*.f64 (/.f64 1 (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(pow.f64 (*.f64 n (/.f64 x (pow.f64 x (/.f64 1 n)))) -1) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x)))) |
(sqrt.f64 (/.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (*.f64 x n) 2))) |
(log.f64 (exp.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))) |
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) (pow.f64 (*.f64 x n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(*.f64 1 (cbrt.f64 x)) |
(*.f64 (cbrt.f64 x) 1) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(pow.f64 x 1/3) |
(pow.f64 (*.f64 x x) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) |
(pow.f64 (cbrt.f64 x) 1) |
(pow.f64 (pow.f64 x 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
(fabs.f64 (cbrt.f64 x)) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(exp.f64 (*.f64 (log.f64 x) 1/3)) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x n))) 1) |
(/.f64 x (/.f64 1 n)) |
(/.f64 (*.f64 x n) 1) |
(/.f64 (*.f64 n (neg.f64 x)) -1) |
(/.f64 (*.f64 (sqrt.f64 n) x) (pow.f64 n -1/2)) |
(/.f64 (*.f64 x (sqrt.f64 n)) (pow.f64 n -1/2)) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n))) |
(/.f64 (*.f64 x (neg.f64 n)) -1) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) x) (/.f64 1 (cbrt.f64 n))) |
(pow.f64 (*.f64 x n) 1) |
(pow.f64 (sqrt.f64 (*.f64 x n)) 2) |
(pow.f64 (cbrt.f64 (*.f64 x n)) 3) |
(pow.f64 (pow.f64 (*.f64 x n) 3) 1/3) |
(neg.f64 (*.f64 n (neg.f64 x))) |
(sqrt.f64 (pow.f64 (*.f64 x n) 2)) |
(log.f64 (pow.f64 (exp.f64 n) x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x n)))) |
(cbrt.f64 (pow.f64 (*.f64 x n) 3)) |
(cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 n (cbrt.f64 x)) 3))) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 n (cbrt.f64 x)) 3) (*.f64 x x))) |
(expm1.f64 (log1p.f64 (*.f64 x n))) |
(exp.f64 (log.f64 (*.f64 x n))) |
(exp.f64 (*.f64 (log.f64 (*.f64 x n)) 1)) |
(log1p.f64 (expm1.f64 (*.f64 x n))) |
| Outputs |
|---|
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(/.f64 (neg.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (*.f64 (cbrt.f64 -1) (*.f64 x n))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(/.f64 (neg.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (*.f64 (cbrt.f64 -1) (*.f64 x n))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(/.f64 (neg.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (*.f64 (cbrt.f64 -1) (*.f64 x n))) |
(*.f64 -1 (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n (*.f64 (cbrt.f64 -1) x)))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(neg.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 n (*.f64 x (cbrt.f64 -1))))) |
(/.f64 (neg.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) (*.f64 (cbrt.f64 -1) (*.f64 x n))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 n) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 n) x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 n) x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 1 (*.f64 x n)) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (pow.f64 n 4))) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n))) |
(+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 n) x)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 1 (*.f64 x n)))) |
(fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (pow.f64 n 3))) (+.f64 (/.f64 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 n) x))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) x))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) x))) (+.f64 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) x)) (/.f64 1 (*.f64 n x))))) |
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(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(exp.f64 (*.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n))) 1)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1) |
(cbrt.f64 x) |
(*.f64 1 (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(*.f64 (pow.f64 x 1/6) (pow.f64 x 1/6)) |
(cbrt.f64 x) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2))) |
(*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (fabs.f64 (cbrt.f64 (cbrt.f64 x)))) |
(*.f64 (cbrt.f64 (cbrt.f64 x)) (pow.f64 (*.f64 x (cbrt.f64 x)) 1/6)) |
(*.f64 (pow.f64 1 1/3) (cbrt.f64 x)) |
(cbrt.f64 x) |
(*.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3)) |
(*.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) |
(pow.f64 x 1/3) |
(cbrt.f64 x) |
(pow.f64 (*.f64 x x) 1/6) |
(pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 x) 1) |
(cbrt.f64 x) |
(pow.f64 (pow.f64 x 1/6) 2) |
(cbrt.f64 x) |
(pow.f64 (cbrt.f64 (cbrt.f64 x)) 3) |
(cbrt.f64 x) |
(sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) |
(cbrt.f64 x) |
(fabs.f64 (cbrt.f64 x)) |
(cbrt.f64 x) |
(log.f64 (exp.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x)))) |
(cbrt.f64 x) |
(expm1.f64 (log1p.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (log.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 x) 1/3)) |
(cbrt.f64 x) |
(exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1)) |
(cbrt.f64 x) |
(log1p.f64 (expm1.f64 (cbrt.f64 x))) |
(cbrt.f64 x) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 x n))) 1) |
(*.f64 x n) |
(/.f64 x (/.f64 1 n)) |
(*.f64 x n) |
(/.f64 (*.f64 x n) 1) |
(*.f64 x n) |
(/.f64 (*.f64 n (neg.f64 x)) -1) |
(*.f64 x n) |
(/.f64 (*.f64 (sqrt.f64 n) x) (pow.f64 n -1/2)) |
(/.f64 x (/.f64 (pow.f64 n -1/2) (sqrt.f64 n))) |
(*.f64 (/.f64 x (pow.f64 n -1/2)) (sqrt.f64 n)) |
(/.f64 (*.f64 x (sqrt.f64 n)) (pow.f64 n -1/2)) |
(/.f64 x (/.f64 (pow.f64 n -1/2) (sqrt.f64 n))) |
(*.f64 (/.f64 x (pow.f64 n -1/2)) (sqrt.f64 n)) |
(/.f64 (*.f64 x (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n))) |
(*.f64 x n) |
(/.f64 (*.f64 x (neg.f64 n)) -1) |
(*.f64 x n) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 n) 2) x) (/.f64 1 (cbrt.f64 n))) |
(*.f64 x n) |
(pow.f64 (*.f64 x n) 1) |
(*.f64 x n) |
(pow.f64 (sqrt.f64 (*.f64 x n)) 2) |
(*.f64 x n) |
(pow.f64 (cbrt.f64 (*.f64 x n)) 3) |
(*.f64 x n) |
(pow.f64 (pow.f64 (*.f64 x n) 3) 1/3) |
(*.f64 x n) |
(neg.f64 (*.f64 n (neg.f64 x))) |
(*.f64 x n) |
(sqrt.f64 (pow.f64 (*.f64 x n) 2)) |
(*.f64 x n) |
(log.f64 (pow.f64 (exp.f64 n) x)) |
(*.f64 x n) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x n)))) |
(*.f64 x n) |
(cbrt.f64 (pow.f64 (*.f64 x n) 3)) |
(*.f64 x n) |
(cbrt.f64 (*.f64 (*.f64 x x) (pow.f64 (*.f64 n (cbrt.f64 x)) 3))) |
(*.f64 x n) |
(cbrt.f64 (*.f64 (pow.f64 (*.f64 n (cbrt.f64 x)) 3) (*.f64 x x))) |
(*.f64 x n) |
(expm1.f64 (log1p.f64 (*.f64 x n))) |
(*.f64 x n) |
(exp.f64 (log.f64 (*.f64 x n))) |
(*.f64 x n) |
(exp.f64 (*.f64 (log.f64 (*.f64 x n)) 1)) |
(*.f64 x n) |
(log1p.f64 (expm1.f64 (*.f64 x n))) |
(*.f64 x n) |
Compiled 28295 to 16628 computations (41.2% saved)
46 alts after pruning (39 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1186 | 11 | 1197 |
| Fresh | 4 | 28 | 32 |
| Picked | 0 | 1 | 1 |
| Done | 1 | 6 | 7 |
| Total | 1191 | 46 | 1237 |
| Status | Error | Program |
|---|---|---|
| 82.42% | (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 3) 2) | |
| 65% | (pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) | |
| 44.26% | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) | |
| 65.46% | (pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3) | |
| 43.96% | (/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n)) | |
| 65.11% | (/.f64 (pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) n) | |
| ✓ | 48% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
| 43.94% | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 43.95% | (/.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) | |
| 42.61% | (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) | |
| 27.17% | (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) n) | |
| 64.99% | (/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) | |
| 62.61% | (/.f64 (/.f64 1 x) n) | |
| 62.58% | (/.f64 (/.f64 1 n) x) | |
| 63.92% | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| ✓ | 64.97% | (/.f64 (-.f64 x (log.f64 x)) n) |
| 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) | |
| 75.68% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 (/.f64 (log.f64 x) n) 2)) | |
| ✓ | 66.63% | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
| 63.29% | (/.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) (*.f64 x n)) | |
| 63.49% | (/.f64 (+.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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) | |
| 48.2% | (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) | |
| 64.94% | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 30.42% | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) | |
| 27.13% | (/.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)) n) | |
| 59.33% | (/.f64 (log.f64 1) n) | |
| 65.37% | (/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) | |
| ✓ | 95.47% | (/.f64 x n) |
| ✓ | 63.57% | (/.f64 1 (*.f64 x n)) |
| 64.83% | (-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) | |
| 64.85% | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| ✓ | 76.7% | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
| 83.77% | (-.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))) | |
| 67.38% | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 65.01% | (-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) | |
| 48% | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 66.66% | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 64.84% | (+.f64 (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) 2/3) (fma.f64 1/4 (pow.f64 (log.f64 x) 3) (*.f64 -1/2 (*.f64 -1/2 (pow.f64 (log.f64 x) 3))))) (pow.f64 n 3))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2)) | |
| 51.58% | (+.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))) | |
| 42.76% | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) | |
| 62.59% | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| 63.9% | (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) | |
| 64.92% | (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) | |
| 48.09% | (*.f64 n (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) | |
| 84.98% | (exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n))) | |
| 66.67% | (cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3)) |
Compiled 699 to 487 computations (30.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(-.f64 (+.f64 (/.f64 x n) 1) (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))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(*.f64 n (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 (/.f64 (log.f64 x) n) 2)) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) |
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)) n) |
(/.f64 (pow.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) |
(-.f64 (*.f64 -1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (/.f64 (log.f64 x) n)) |
(/.f64 (pow.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3) 1/3) (*.f64 x n)) |
(cbrt.f64 (pow.f64 (+.f64 1 (-.f64 (/.f64 x n) (pow.f64 x (/.f64 1 n)))) 3)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 n (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))) |
(/.f64 (+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (/.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) (*.f64 x n)) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 1 n)) (+.f64 1 (pow.f64 x (/.f64 2 n))))) |
(/.f64 (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) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (pow.f64 n -1))) 3)) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(+.f64 (/.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 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(pow.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) (sqrt.f64 (*.f64 x n)))) 3) 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 (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)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (+.f64 (log1p.f64 x) (log.f64 x))) n) |
(-.f64 (fma.f64 -1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) (/.f64 (log.f64 x) n)) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(-.f64 (-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(/.f64 (+.f64 (*.f64 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 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) n) |
(-.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (*.f64 1/6 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (-.f64 (/.f64 (fma.f64 -1 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2))) |
(+.f64 (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (-.f64 (*.f64 (pow.f64 (log.f64 x) 3) 2/3) (fma.f64 1/4 (pow.f64 (log.f64 x) 3) (*.f64 -1/2 (*.f64 -1/2 (pow.f64 (log.f64 x) 3))))) (pow.f64 n 3))))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1/2)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2))) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 1/2 (-.f64 (*.f64 -4/3 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -4/3 (pow.f64 (log.f64 x) 3)))) (+.f64 (*.f64 1/4 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (log.f64 x) 2)) (*.f64 1/2 (pow.f64 (log.f64 (+.f64 1 x)) 2))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))))) (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 1/2 (-.f64 (*.f64 2 (pow.f64 (log.f64 (+.f64 1 x)) 2)) (*.f64 2 (pow.f64 (log.f64 x) 2)))) (*.f64 1/4 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))))))))) (pow.f64 n 3))) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x))) n)))) (*.f64 1/4 (/.f64 (*.f64 (+.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) (-.f64 (*.f64 -2 (log.f64 (+.f64 1 x))) (*.f64 -2 (log.f64 x)))) (pow.f64 n 2)))) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 133.0ms | (/.f64 1 n) |
| 96.0ms | n |
| 63.0ms | x |
| 9.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.48% | 2 | x |
| 3.22% | 3 | n |
| 17.98% | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 2.9% | 3 | (/.f64 1 n) |
Compiled 1242 to 711 computations (42.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032772111317616164 | 0.0035530447886933463 |
| 0.0ms | -0.0002503022118150969 | -6.891356628109352e-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 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(-.f64 (+.f64 (/.f64 x n) 1) (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))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(*.f64 n (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (*.f64 n n))) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 (/.f64 (log.f64 x) n) 2)) |
(/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1/2 n)))) |
(exp.f64 (log.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) |
(pow.f64 (cbrt.f64 (/.f64 (neg.f64 (log.f64 x)) n)) 3) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(cbrt.f64 (pow.f64 (-.f64 1 (pow.f64 x (/.f64 1 n))) 3)) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 57.0ms | n |
| 54.0ms | (/.f64 1 n) |
| 37.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 10.79% | 2 | x |
| 3.78% | 3 | n |
| 18.24% | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 3.15% | 3 | (/.f64 1 n) |
Compiled 424 to 228 computations (46.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032772111317616164 | 0.0035530447886933463 |
| 0.0ms | -0.0002503022118150969 | -6.891356628109352e-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 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
| Outputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 43.0ms | n |
| 31.0ms | (/.f64 1 n) |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.79% | 2 | x |
| 3.46% | 4 | n |
| 3.46% | 3 | (/.f64 1 n) |
Compiled 189 to 115 computations (39.2% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032772111317616164 | 0.0035530447886933463 |
| 0.0ms | -0.0002503022118150969 | -6.891356628109352e-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 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 n) (log.f64 (/.f64 (+.f64 x 1) x))) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
| Outputs |
|---|
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 42.0ms | n |
| 42.0ms | (/.f64 1 n) |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 10.8% | 2 | x |
| 3.46% | 4 | n |
| 3.46% | 3 | (/.f64 1 n) |
Compiled 178 to 108 computations (39.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032772111317616164 | 0.0035530447886933463 |
| 0.0ms | -0.0002503022118150969 | -6.891356628109352e-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 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 40.0ms | x |
| 34.0ms | n |
| 25.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 20.26% | 4 | x |
| 4.29% | 4 | n |
| 4.29% | 3 | (/.f64 1 n) |
Compiled 129 to 80 computations (38% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.00032772111317616164 | 0.0035530447886933463 |
| 0.0ms | -40411917.33213332 | -0.03961327843865711 |
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 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| Outputs |
|---|
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
3 calls:
| 48.0ms | x |
| 25.0ms | n |
| 18.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 20.27% | 5 | x |
| 18.57% | 3 | n |
| 18.57% | 2 | (/.f64 1 n) |
Compiled 121 to 74 computations (38.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-failed |
| Time | Left | Right |
|---|---|---|
| 26.0ms | 281.4487459269423 | 3051.374964244262 |
| 282.0ms | -1.3550974864252502e-305 | 2.9868334591189467e-236 |
| 152.0ms | 161× | body | 1024 | infinite |
| 63.0ms | 354× | body | 256 | unsamplable |
| 32.0ms | 70× | body | 512 | infinite |
| 29.0ms | 41× | body | 1024 | valid |
| 11.0ms | 54× | body | 256 | infinite |
| 10.0ms | 63× | body | 256 | valid |
| 5.0ms | 4× | body | 2048 | valid |
| 2.0ms | 9× | body | 512 | valid |
Compiled 167 to 127 computations (24% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(/.f64 (log.f64 1) n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (log.f64 1) n) |
3 calls:
| 63.0ms | n |
| 56.0ms | (/.f64 1 n) |
| 41.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 20.89% | 5 | x |
| 28.6% | 9 | n |
| 28.6% | 8 | (/.f64 1 n) |
Compiled 113 to 69 computations (38.9% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 85.0ms | 1.292032922500481e+148 | 1.4620517070186058e+159 |
| 24.0ms | 4.32661746795304e+120 | 5.337629610928017e+120 |
| 56.0ms | 7.221183665244156e+84 | 2.1227470739166792e+86 |
| 55.0ms | 1.0548909972387973e-5 | 22.884315090251317 |
| 94.0ms | 142× | body | 2048 | valid |
| 78.0ms | 178× | body | 1024 | valid |
| 15.0ms | 60× | body | 512 | valid |
| 14.0ms | 84× | body | 256 | valid |
| 7.0ms | 37× | body | 256 | unsamplable |
| 5.0ms | 28× | body | 256 | infinite |
Compiled 601 to 459 computations (23.6% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(/.f64 (log.f64 1) n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (log.f64 1) n) |
3 calls:
| 179.0ms | x |
| 49.0ms | n |
| 43.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 21.36% | 5 | x |
| 37.8% | 8 | n |
| 37.97% | 7 | (/.f64 1 n) |
Compiled 93 to 59 computations (36.6% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 111.0ms | 1.292032922500481e+148 | 1.4620517070186058e+159 |
| 23.0ms | 4.32661746795304e+120 | 5.337629610928017e+120 |
| 80.0ms | 7.221183665244156e+84 | 2.1227470739166792e+86 |
| 59.0ms | 1.0548909972387973e-5 | 22.884315090251317 |
| 134.0ms | 114× | body | 2048 | valid |
| 82.0ms | 184× | body | 1024 | valid |
| 19.0ms | 108× | body | 256 | valid |
| 15.0ms | 58× | body | 512 | valid |
| 9.0ms | 43× | body | 256 | infinite |
| 9.0ms | 45× | body | 256 | unsamplable |
Compiled 592 to 459 computations (22.5% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) n) |
(/.f64 (log.f64 1) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
3 calls:
| 29.0ms | x |
| 18.0ms | n |
| 12.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 52.42% | 4 | x |
| 44.76% | 3 | n |
| 44.93% | 2 | (/.f64 1 n) |
Compiled 88 to 56 computations (36.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 137.0ms | 1.330825833488867e-61 | 8.534506387368427e-50 |
| 43.0ms | -25.24406056288786 | -2.474517582972623e-8 |
| 94.0ms | 254× | body | 256 | valid |
| 53.0ms | 271× | body | 256 | unsamplable |
| 13.0ms | 29× | body | 1024 | valid |
| 8.0ms | 21× | body | 512 | valid |
| 7.0ms | 35× | body | 256 | infinite |
Compiled 325 to 263 computations (19.1% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
| Outputs |
|---|
(/.f64 (/.f64 1 x) n) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
3 calls:
| 17.0ms | n |
| 11.0ms | (/.f64 1 n) |
| 11.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 57.1% | 2 | x |
| 52.91% | 3 | n |
| 52.91% | 2 | (/.f64 1 n) |
Compiled 84 to 53 computations (36.9% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -1.4481778993116262e-223 | -7.3528589565803e-224 |
| 44.0ms | -25.24406056288786 | -2.474517582972623e-8 |
| 24.0ms | 145× | body | 256 | valid |
| 18.0ms | 40× | body | 1024 | valid |
| 12.0ms | 52× | body | 256 | infinite |
| 7.0ms | 23× | body | 512 | valid |
Compiled 288 to 231 computations (19.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
3 calls:
| 6.0ms | (/.f64 1 n) |
| 4.0ms | n |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 62.58% | 1 | x |
| 62.58% | 1 | n |
| 62.58% | 1 | (/.f64 1 n) |
Compiled 38 to 25 computations (34.2% saved)
Total -20.9b remaining (-51.4%)
Threshold costs -20.9b (-51.4%)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x n)) |
2 calls:
| 4.0ms | n |
| 3.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 63.57% | 1 | x |
| 63.57% | 1 | n |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
| 28× | +-commutative |
| 20× | sub-neg |
| 16× | *-commutative |
| 8× | neg-mul-1 |
| 8× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 104 | 945 |
| 1 | 139 | 945 |
| 2 | 156 | 945 |
| 3 | 163 | 945 |
| 4 | 166 | 945 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 3000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n))) |
(if (<=.f64 x 1080863910568919/1125899906842624) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (/.f64 (log.f64 1) n) (if (<=.f64 x 46999999999999998312833520416709950182568280524604077104644793813564564049000497886434308886265841103308279960218094318961602141586790461482529593080414208) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 165999999999999999667996869575803408167124791074722558859805801802031574400680914321408) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (/.f64 (log.f64 1) n) (if (<=.f64 x 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 n -16) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 (log.f64 1) n) (*.f64 (/.f64 1 x) (/.f64 1 n)))) |
(if (<=.f64 n -17) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7814079413531079/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (*.f64 (/.f64 1 x) (/.f64 1 n)))) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 x n) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.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) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (/.f64 1 n) x)) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -7378697629483821/36893488147419103232) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -40000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 1152921504606847/2305843009213693952) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 n -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 n 3000) (-.f64 1 (pow.f64 x (/.f64 1 n))) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n))) |
(if (or (<=.f64 n -7906338019816821/790633801981682102939434948120770730662330663141180149831645929794649763937481823796720248833738767559324522907487546528866440380413255769011771093518509804380927438580337349079948858367551626332967842494034160424070341732127705853976966233004529516956289283251401443563802400840744150516352841830648461966045733363646464) (not (<=.f64 n 3000))) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))) |
(if (<=.f64 x 1080863910568919/1125899906842624) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (/.f64 (log.f64 1) n) (if (<=.f64 x 46999999999999998312833520416709950182568280524604077104644793813564564049000497886434308886265841103308279960218094318961602141586790461482529593080414208) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 x 1080863910568919/1125899906842624) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (or (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (not (<=.f64 x 46999999999999998312833520416709950182568280524604077104644793813564564049000497886434308886265841103308279960218094318961602141586790461482529593080414208))) (/.f64 0 n) (/.f64 1 (*.f64 n x))))) |
(if (<=.f64 x 1080863910568919/1125899906842624) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 209999999999999989268953304860595761634197302897526657546290320964884126167692677742592) (*.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) (if (or (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (not (<=.f64 x 46999999999999998312833520416709950182568280524604077104644793813564564049000497886434308886265841103308279960218094318961602141586790461482529593080414208))) (/.f64 0 n) (/.f64 1 (*.f64 n x))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 165999999999999999667996869575803408167124791074722558859805801802031574400680914321408) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (/.f64 (log.f64 1) n) (if (<=.f64 x 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952) (/.f64 1 (*.f64 x n)) (/.f64 (log.f64 1) n))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 165999999999999999667996869575803408167124791074722558859805801802031574400680914321408) (*.f64 (/.f64 1 n) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) (if (or (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (not (<=.f64 x 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952))) (/.f64 0 n) (/.f64 1 (*.f64 n x))))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 165999999999999999667996869575803408167124791074722558859805801802031574400680914321408) (*.f64 (/.f64 1 n) (+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x)))) (if (or (<=.f64 x 4400000000000000256040053127045211940965877144059878599514800947297567184999012300083504926964687945423797697315591946240) (not (<=.f64 x 29999999999999999061648523025317792442531696476907296615914263960963973225365257898969304001787672895785536451103497382835750166803163151679700391165952))) (/.f64 0 n) (/.f64 1 (*.f64 n x))))) |
(if (<=.f64 n -16) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 (log.f64 1) n) (*.f64 (/.f64 1 x) (/.f64 1 n)))) |
(if (<=.f64 n -16) (/.f64 (/.f64 1 x) n) (if (<=.f64 n 3666552746732487/215679573337205118357336120696157045389097155380324579848828881993728) (/.f64 0 n) (*.f64 (/.f64 1 n) (/.f64 1 x)))) |
(if (<=.f64 n -17) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7814079413531079/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (*.f64 (/.f64 1 x) (/.f64 1 n)))) |
(if (<=.f64 n -17) (/.f64 (/.f64 1 x) n) (if (<=.f64 n -7814079413531079/104187725513747723032497684230019653080386848786186065006191528308813081840900501117522378138618035792858279853022394381967012525845615079380677438317669219470236837179906477475985598217372094136390078377123228155963917938085569707674435584) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (*.f64 (/.f64 1 n) (/.f64 1 x)))) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 x n) |
Compiled 380 to 274 computations (27.9% saved)
| 5× | egg-herbie |
| 1564× | associate-/r* |
| 1152× | associate-/l* |
| 1076× | associate-+l- |
| 1076× | associate-+l- |
| 1076× | associate-+l- |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 15302 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 0 | 598 | 15490 |
| 1 | 1404 | 14934 |
| 2 | 6193 | 14934 |
| 0 | 488 | 15302 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 0 | 488 | 15302 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 277 to 173 computations (37.5% saved)
Compiled 356 to 244 computations (31.5% saved)
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