Time bar (total: 20.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 4 |
| 21.4% | 18.7% | 68.7% | 0.1% | 0% | 12.5% | 0% | 5 |
| 26.9% | 21.9% | 59.3% | 0.1% | 0% | 18.7% | 0% | 6 |
| 33.3% | 25% | 50% | 0.1% | 0% | 18.7% | 6.2% | 7 |
| 37% | 26.5% | 45.3% | 0.1% | 0% | 21.9% | 6.2% | 8 |
| 43.9% | 28.1% | 35.9% | 0.1% | 2.3% | 21.9% | 11.7% | 9 |
| 47.1% | 28.9% | 32.4% | 0.1% | 2.7% | 23.4% | 12.5% | 10 |
| 53.3% | 30.3% | 26.5% | 0.1% | 4.1% | 23.4% | 15.5% | 11 |
| 55.2% | 30.7% | 25% | 0.1% | 4.4% | 24.2% | 15.6% | 12 |
Compiled 16 to 12 computations (25% saved)
| 2.7s | 2857× | body | 1024 | valid |
| 1.8s | 1807× | body | 2048 | valid |
| 1.4s | 1429× | body | 1024 | invalid |
| 864.0ms | 2388× | body | 256 | valid |
| 566.0ms | 1204× | body | 512 | valid |
| 396.0ms | 761× | body | 512 | invalid |
| 246.0ms | 188× | body | 1024 | infinite |
| 235.0ms | 368× | body | 256 | unsamplable |
| 199.0ms | 794× | body | 256 | infinite |
| 184.0ms | 1258× | body | 256 | invalid |
| 105.0ms | 221× | body | 512 | infinite |
| 5.0ms | 5× | body | 2048 | invalid |
| 1.0ms | 1× | body | 2048 | infinite |
| 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 |
|---|---|---|
| ▶ | 31.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x (/.f64 1 n)) |
| ✓ | 0.0b | (pow.f64 (+.f64 x 1) (/.f64 1 n)) |
| ✓ | 2.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 36 to 24 computations (33.3% saved)
18 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 20.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 15.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 8.0ms | 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)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 307 | 12 | 319 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 308 | 12 | 320 |
| Status | Error | Program |
|---|---|---|
| 23.1b | (fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (-.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) | |
| 43.9b | (/.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)))) | |
| ▶ | 17.3b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ▶ | 43.8b | (/.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)))))) |
| ▶ | 26.1b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 25.0b | (-.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))) | |
| 26.4b | (-.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)))) | |
| 49.9b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 31.2b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ▶ | 43.5b | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 34.9b | (+.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))))))) | |
| ▶ | 32.7b | (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
Compiled 640 to 406 computations (36.6% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | 3.4b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | 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 |
|---|---|---|
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 4.9b | (-.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 |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (/.f64 (log.f64 x) n)) |
| ✓ | 0.2b | (/.f64 (log.f64 x) n) |
| ✓ | 2.5b | (/.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 | |
|---|---|---|---|---|
| 34.0ms | 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 |
|---|---|---|
| ✓ | 0.2b | (/.f64 1/2 (*.f64 n n)) |
| 2.5b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ✓ | 2.8b | (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) |
| ✓ | 7.3b | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
Compiled 115 to 41 computations (64.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | -inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | x | @ | inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1× | batch-egg-rewrite |
| 1646× | associate-/l/ |
| 1474× | associate-/r/ |
| 388× | add-sqr-sqrt |
| 376× | pow1 |
| 376× | *-un-lft-identity |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 101 |
| 1 | 379 | 91 |
| 2 | 5543 | 91 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
(/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) |
(/.f64 1/2 (*.f64 n n)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (pow.f64 n -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (*.f64 n n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/2 (*.f64 n n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (/.f64 1/2 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 n) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 1/2 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/2 (*.f64 n n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 1/2) n) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 n n) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/4 (pow.f64 n 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (*.f64 n n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/2 (*.f64 n n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 n n))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 n n)))))))) |
| 1× | egg-herbie |
| 1612× | associate-/r* |
| 1320× | associate-/l* |
| 1284× | associate-*l* |
| 1050× | *-commutative |
| 560× | associate-*l/ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 752 | 17932 |
| 1 | 2330 | 17238 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(/.f64 -1/2 (*.f64 n (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2))))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(/.f64 -1/2 (*.f64 n (pow.f64 x 2))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2)))) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 x 2))) (*.f64 -1/2 (/.f64 (log.f64 x) (pow.f64 x 2)))) (pow.f64 n 3))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (pow.f64 x 2)))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(/.f64 1/2 (*.f64 (pow.f64 n 2) x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(/.f64 -1/2 (*.f64 n x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(/.f64 -1/2 (*.f64 n x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
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(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (/.f64 1/2 n) -1/2)) n) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 (*.f64 n n) 1/2))) (*.f64 (*.f64 n n) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 1/2 (*.f64 n -2)) (*.f64 n n))) (*.f64 (*.f64 n n) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (neg.f64 n)) (*.f64 (*.f64 n (neg.f64 n)) 1/2))) (*.f64 (*.f64 n (neg.f64 n)) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 n) (*.f64 (*.f64 n (neg.f64 n)) -1/2))) (*.f64 (*.f64 n (neg.f64 n)) n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (*.f64 n -2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n -2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n 1/2))) (*.f64 n (neg.f64 n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 n -1/2))) (*.f64 n n)) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n -2)) n)) (*.f64 n (*.f64 n -2))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))))) |
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3) |
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1) |
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3))) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) 1) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1/2 (*.f64 n n)) 1) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(*.f64 1 (/.f64 1/2 (*.f64 n n))) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (/.f64 1/2 (*.f64 n n)))) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(*.f64 (/.f64 1 n) (/.f64 1/2 n)) |
(*.f64 (pow.f64 n -2) 1/2) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2) |
(pow.f64 (/.f64 1/2 (*.f64 n n)) 1) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) 3) |
(pow.f64 (*.f64 (*.f64 n n) 2) -1) |
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3) |
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (*.f64 n n))))) |
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) |
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 n n)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 n n))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 n n)))) |
| Outputs |
|---|
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))) |
(/.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))) |
(/.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))) |
(/.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 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n))))) |
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(/.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 (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 x)) (+.f64 (/.f64 -1/2 n) (/.f64 1/2 (*.f64 n n)))) |
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) |
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n)))) |
(*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (*.f64 x x))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x n))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (*.f64 x x))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x n))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n)))))) |
(+.f64 (*.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 n 2) (pow.f64 x 2))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 n (*.f64 x x))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (*.f64 n n))))) |
(fma.f64 -1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 x n))) (*.f64 1/2 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x (*.f64 n (*.f64 x n)))))) |
(/.f64 -1/2 (*.f64 n (pow.f64 x 2))) |
(/.f64 (/.f64 -1/2 n) (*.f64 x x)) |
(/.f64 -1/2 (*.f64 x (*.f64 x n))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (/.f64 1/2 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) (*.f64 x x)) (/.f64 (/.f64 1/2 (*.f64 n n)) (*.f64 x x))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n)) (/.f64 (/.f64 (/.f64 1/2 n) (*.f64 x n)) x)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) (pow.f64 x 2)))) (+.f64 (*.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (pow.f64 x 2)))) (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (pow.f64 x 2))))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 n n)) (*.f64 x x)) (/.f64 (/.f64 1/2 (*.f64 n n)) (*.f64 x x))) (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 3) (*.f64 x x))) (*.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (*.f64 x x)))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 n 3)))) (*.f64 1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (pow.f64 n 3)))) (fma.f64 -1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (*.f64 n n)) (/.f64 (/.f64 (/.f64 1/2 n) (*.f64 x n)) x))) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
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(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 n) (*.f64 (*.f64 n (neg.f64 n)) -1/2))) (*.f64 (*.f64 n (neg.f64 n)) n)) |
(*.f64 (neg.f64 (pow.f64 n 3)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 1/2 (neg.f64 n)) (*.f64 n (*.f64 n 1/2))))) |
(*.f64 (neg.f64 (pow.f64 n 3)) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 1/2 (*.f64 n (-.f64 -1 n))) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 -1/2 (*.f64 n -2)) (*.f64 (*.f64 n (neg.f64 n)) 1))) (*.f64 (*.f64 n (neg.f64 n)) (*.f64 n -2))) |
(*.f64 (*.f64 (neg.f64 (pow.f64 n 3)) -2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n 1) (*.f64 n (neg.f64 n))))) |
(*.f64 (*.f64 -2 (neg.f64 (pow.f64 n 3))) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 1 (neg.f64 n))) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (neg.f64 n) (*.f64 (*.f64 (*.f64 n n) 2) 1/2))) (*.f64 (*.f64 (*.f64 n n) 2) (neg.f64 n))) |
(*.f64 (*.f64 (pow.f64 n 3) -2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n -1) (*.f64 n n)))) |
(*.f64 (*.f64 (pow.f64 n 3) -2) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 -1 n)) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 n (*.f64 (*.f64 (*.f64 n n) 2) -1/2))) (*.f64 (*.f64 (*.f64 n n) 2) n)) |
(*.f64 (*.f64 (pow.f64 n 3) 2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 n (*.f64 (*.f64 n n) -1)))) |
(*.f64 (*.f64 2 (pow.f64 n 3)) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (-.f64 n (*.f64 n (neg.f64 n))) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 n -2) (*.f64 (*.f64 (*.f64 n n) 2) 1))) (*.f64 (*.f64 (*.f64 n n) 2) (*.f64 n -2))) |
(*.f64 (*.f64 (*.f64 (pow.f64 n 3) -2) 2) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n -2) (*.f64 n (*.f64 n 2))))) |
(*.f64 (*.f64 (pow.f64 n 3) -4) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 n (-.f64 -2 (*.f64 n 2))) x))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (neg.f64 n)) (*.f64 n 1/2))) (*.f64 n (neg.f64 n))) |
(*.f64 (*.f64 n (neg.f64 n)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (neg.f64 (*.f64 n (/.f64 1/2 n))) (*.f64 n 1/2)))) |
(*.f64 n (*.f64 (neg.f64 n) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (*.f64 (neg.f64 n) (+.f64 1/2 (/.f64 1/2 n))) x)))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) n) (*.f64 n -1/2))) (*.f64 n n)) |
(*.f64 (*.f64 n n) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (*.f64 n (/.f64 1/2 n)) (*.f64 n -1/2)))) |
(/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (/.f64 (*.f64 n (+.f64 1/2 (/.f64 1/2 n))) (*.f64 n n))) |
(*.f64 (/.f64 (*.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/2 n) (*.f64 n -2)) n)) (*.f64 n (*.f64 n -2))) |
(*.f64 (*.f64 n (*.f64 n -2)) (/.f64 (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) x) (-.f64 (/.f64 (*.f64 n -1) n) n))) |
(*.f64 n (*.f64 (*.f64 n -2) (/.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (*.f64 (-.f64 (/.f64 (neg.f64 n) n) n) x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3)))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (-.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))))) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3)))) |
(*.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) (*.f64 (-.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))) x)) (+.f64 (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n))) (/.f64 -1/4 (pow.f64 n 3)))) |
(*.f64 (/.f64 (*.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (pow.f64 (/.f64 -1/2 n) 3)) (/.f64 1 x)) (+.f64 (pow.f64 (/.f64 1/4 (pow.f64 n 4)) 3) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (+.f64 (*.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4))) (-.f64 (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3)))) (*.f64 (/.f64 1/4 (pow.f64 n 4)) (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))))))) |
(*.f64 (/.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) (fma.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (/.f64 1/4 (pow.f64 n 4)))))) |
(/.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) (/.f64 -1/8 (pow.f64 n 3))) x) (+.f64 (/.f64 (/.f64 1/16 (pow.f64 n 4)) (pow.f64 n 4)) (*.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) (-.f64 (/.f64 1/4 (*.f64 n n)) (+.f64 (/.f64 -1/4 (pow.f64 n 3)) (/.f64 1/4 (pow.f64 n 4))))))) (+.f64 (/.f64 1/64 (pow.f64 (pow.f64 n 4) 3)) (pow.f64 (-.f64 (/.f64 1/4 (*.f64 n n)) (/.f64 -1/4 (pow.f64 n 3))) 3))) |
(pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x))) |
(/.f64 (neg.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2)) |
(log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3)) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1)) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1/2 (*.f64 n n)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 -1/2 (/.f64 1 (*.f64 n (neg.f64 n)))) |
(/.f64 -1/2 (*.f64 n (neg.f64 n))) |
(/.f64 (/.f64 -1/2 n) (neg.f64 n)) |
(*.f64 1 (/.f64 1/2 (*.f64 n n))) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 (/.f64 (sqrt.f64 1/2) n) (/.f64 (sqrt.f64 1/2) n)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (cbrt.f64 (/.f64 1/4 (pow.f64 n 4))) (cbrt.f64 (/.f64 1/2 (*.f64 n n)))) |
(*.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) (cbrt.f64 (/.f64 1/4 (pow.f64 n 4)))) |
(*.f64 (/.f64 1/2 n) (/.f64 1 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 (/.f64 1 n) (/.f64 1/2 n)) |
(/.f64 1/2 (*.f64 n n)) |
(*.f64 (pow.f64 n -2) 1/2) |
(*.f64 1/2 (pow.f64 n -2)) |
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 n 4))) (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (/.f64 1/2 (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (pow.f64 n 4))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 n))) -1/2) |
(/.f64 -1/2 (*.f64 n (neg.f64 n))) |
(/.f64 (/.f64 -1/2 n) (neg.f64 n)) |
(pow.f64 (/.f64 1/2 (*.f64 n n)) 1) |
(/.f64 1/2 (*.f64 n n)) |
(pow.f64 (/.f64 (sqrt.f64 1/2) n) 2) |
(pow.f64 (cbrt.f64 (/.f64 1/2 (*.f64 n n))) 3) |
(/.f64 1/2 (*.f64 n n)) |
(pow.f64 (*.f64 (*.f64 n n) 2) -1) |
(/.f64 1/2 (*.f64 n n)) |
(pow.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3)) 1/3) |
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3))) |
(sqrt.f64 (/.f64 1/4 (pow.f64 n 4))) |
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 n -2))) |
(*.f64 (pow.f64 n -2) (log.f64 (exp.f64 1/2))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1/2 (*.f64 n n))))) |
(/.f64 1/2 (*.f64 n n)) |
(cbrt.f64 (/.f64 1/8 (pow.f64 (*.f64 n n) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1/2 (*.f64 n n)))) |
(/.f64 1/2 (*.f64 n n)) |
(exp.f64 (log.f64 (/.f64 1/2 (*.f64 n n)))) |
(/.f64 1/2 (*.f64 n n)) |
(exp.f64 (*.f64 (log.f64 (/.f64 1/2 (*.f64 n n))) 1)) |
(/.f64 1/2 (*.f64 n n)) |
(log1p.f64 (expm1.f64 (/.f64 1/2 (*.f64 n n)))) |
(/.f64 1/2 (*.f64 n n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (pow.f64 (+.f64 1 x) (/.f64 2 n)) |
| ✓ | 0.1b | (pow.f64 x (/.f64 2 n)) |
| ✓ | 2.9b | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| ✓ | 12.8b | (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) |
Compiled 183 to 127 computations (30.6% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | n | @ | inf | (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
| 1.0ms | x | @ | -inf | (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) |
| 1× | batch-egg-rewrite |
| 1218× | associate-/r* |
| 582× | associate-/l* |
| 576× | associate-/r/ |
| 420× | add-sqr-sqrt |
| 404× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 94 |
| 1 | 410 | 94 |
| 2 | 5421 | 94 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) |
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) |
(pow.f64 x (/.f64 2 n)) |
(pow.f64 (+.f64 1 x) (/.f64 2 n)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 2 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (/.f64 2 n)) (pow.f64 (sqrt.f64 x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 x (/.f64 2 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 (log.f64 x) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))))))) |
| 1× | egg-herbie |
| 936× | associate-+l- |
| 798× | associate-+r- |
| 726× | associate--r+ |
| 698× | fma-def |
| 580× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 599 | 15415 |
| 1 | 1705 | 14377 |
| 2 | 6599 | 14353 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
1 |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))) |
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 1 (*.f64 3 (/.f64 x n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (*.f64 3 (/.f64 x n)))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (*.f64 3 (/.f64 x n))))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 27/8 (/.f64 1 (pow.f64 n 4))) (*.f64 33/8 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 n 3))) (*.f64 3/4 (/.f64 1 n))))) (pow.f64 x 4)) (+.f64 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3)))) (*.f64 9/2 (/.f64 1 (pow.f64 n 2)))) (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 3)) (*.f64 3 (/.f64 (exp.f64 (*.f64 -3 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))))) |
(*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) |
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(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (/.f64 1 n) (*.f64 9/2 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (+.f64 (*.f64 3 (/.f64 (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 27/8 (/.f64 1 (pow.f64 n 4))) (*.f64 33/8 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 27/4 (/.f64 1 (pow.f64 n 3))) (*.f64 3/4 (/.f64 1 n)))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 4)) (/.f64 (*.f64 (-.f64 (*.f64 9/2 (/.f64 1 (pow.f64 n 2))) (*.f64 3/2 (/.f64 1 n))) (exp.f64 (*.f64 3 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2))))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 (*.f64 3 (log.f64 (+.f64 1 x))) (*.f64 3 (log.f64 x))) n) |
(-.f64 (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (+.f64 (*.f64 3 (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))))) (+.f64 (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 3 (/.f64 (log.f64 x) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2)))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))))) (+.f64 (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (log.f64 x) n))) |
(+.f64 1 (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 1 (+.f64 (*.f64 4/3 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))) (+.f64 (*.f64 2 (/.f64 (log.f64 x) n)) (*.f64 2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 x n))) |
(+.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)))) |
(+.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 (/.f64 1 x)) n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 2 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
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(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.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))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.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 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (/.f64 1 n)) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 2)))) |
(+.f64 (*.f64 2 (/.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (*.f64 n x))) (+.f64 (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 2/3 (/.f64 1 n)) (*.f64 4/3 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)))) (pow.f64 x 3))) (/.f64 (*.f64 (-.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))))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) |
1 |
(+.f64 1 (*.f64 2 (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 1 (+.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))))) |
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1 |
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(+.f64 1 (+.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 1 (+.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 (exp.f64 (log1p.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))) 1) |
(*.f64 1 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) 1) |
(*.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1/2 n)) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1/2 n))) |
(*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n))) (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 2 n))) (cbrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))) |
(*.f64 (pow.f64 1 (/.f64 1 n)) (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x (*.f64 x x))) (/.f64 1 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 (+.f64 x (*.f64 x x))) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))) |
(exp.f64 (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 x (*.f64 x x)) (/.f64 1 n)))) |
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(+.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 3 n))) 1 (pow.f64 x (/.f64 3 n))))) |
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(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 2)) |
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(fma.f64 1 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(fma.f64 (pow.f64 (+.f64 1 x) (/.f64 3/2 n)) (pow.f64 (+.f64 1 x) (/.f64 3/2 n)) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n))) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n))) (neg.f64 (pow.f64 x (/.f64 3 n)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) 1) |
(*.f64 1 (pow.f64 x (/.f64 2 n))) |
(*.f64 (pow.f64 x (/.f64 2 n)) 1) |
(*.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) |
(*.f64 (pow.f64 (sqrt.f64 x) (/.f64 2 n)) (pow.f64 (sqrt.f64 x) (/.f64 2 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 x) (/.f64 2 n))) |
(sqrt.f64 (pow.f64 (*.f64 x x) (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 2 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 2 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 2 n)))) |
(exp.f64 (*.f64 (/.f64 (log.f64 x) n) 2)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 2 n)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) 1) |
(*.f64 1 (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(*.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 1) |
(*.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 (+.f64 1 x) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) 2) (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) |
(*.f64 (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n)) (pow.f64 (sqrt.f64 (+.f64 1 x)) (/.f64 2 n))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2) (/.f64 2 n)) (pow.f64 (cbrt.f64 (+.f64 1 x)) (/.f64 2 n))) |
(sqrt.f64 (pow.f64 (+.f64 1 x) (*.f64 2 (/.f64 2 n)))) |
(log.f64 (exp.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
| Outputs |
|---|
(exp.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (*.f64 (+.f64 (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) n) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3))) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (pow.f64 x 2) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (+.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 (exp.f64 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3)) (*.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (/.f64 n x)) (fma.f64 (exp.f64 (/.f64 (log.f64 x) n)) (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (*.f64 x (*.f64 x (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n))) |
(+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)))) (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (+.f64 (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (*.f64 x n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (/.f64 (*.f64 x x) (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n))))) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))))) |
(+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)))) |
(+.f64 (/.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (*.f64 n x)) (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (exp.f64 (*.f64 -2 (/.f64 (log.f64 (/.f64 -1 x)) n)))))) |
(+.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (fma.f64 -1 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (/.f64 (pow.f64 x 3) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)))) (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))))) |
(+.f64 (+.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) (-.f64 (/.f64 (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n)) (*.f64 x n)) (*.f64 (/.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (+.f64 (/.f64 1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)) (pow.f64 (exp.f64 -2) (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(exp.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n)) |
(exp.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(exp.f64 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
1 |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1) |
(+.f64 1 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) 1)) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))) |
(+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 3) (pow.f64 n 3)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 2) (*.f64 n n)))))) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) n))))) |
1 |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) 1) |
(+.f64 1 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n)) |
(+.f64 1 (/.f64 (log.f64 (fma.f64 x x x)) n)) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) (*.f64 n n)) 1)) |
(+.f64 (/.f64 (log.f64 (*.f64 (+.f64 1 x) x)) n) (+.f64 1 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 3) (pow.f64 n 3))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (*.f64 (+.f64 1 x) x)) 2) (pow.f64 n 2)))))) |
(+.f64 (/.f64 (+.f64 (log.f64 x) (log1p.f64 x)) n) (+.f64 1 (fma.f64 1/6 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 3) (pow.f64 n 3)) (*.f64 1/2 (/.f64 (pow.f64 (+.f64 (log.f64 x) (log1p.f64 x)) 2) (*.f64 n n)))))) |
(+.f64 1 (+.f64 (/.f64 (log.f64 (fma.f64 x x x)) n) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 3) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 (fma.f64 x x x)) 2) n))))) |
(-.f64 1 (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(-.f64 1 (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n))) |
(-.f64 1 (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)) |
(-.f64 (+.f64 1 (*.f64 3 (/.f64 x n))) (exp.f64 (*.f64 3 (/.f64 (log.f64 x) n)))) |
(+.f64 1 (-.f64 (*.f64 3 (/.f64 x n)) (pow.f64 (exp.f64 3) (/.f64 (log.f64 x) n)))) |
(-.f64 (fma.f64 3 (/.f64 x n) 1) (pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 3)) |
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(-.f64 (fma.f64 9/2 (/.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 n 3)) (fma.f64 3 (/.f64 (log1p.f64 x) n) (fma.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 9/2 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)))))) (fma.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (fma.f64 (/.f64 (log.f64 x) n) 3 (/.f64 (*.f64 9/2 (pow.f64 (log.f64 x) 3)) (pow.f64 n 3)))))) |
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(-.f64 (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -9/2 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -9/2 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -3 (log.f64 (+.f64 1 x))) (*.f64 -3 (log.f64 x))) n)) (+.f64 (*.f64 9/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4)))))) (+.f64 (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (fma.f64 -1 (/.f64 (*.f64 -9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (fma.f64 -1 (/.f64 (*.f64 -3 (-.f64 (log1p.f64 x) (log.f64 x))) n) (fma.f64 9/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (*.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)))))) (fma.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4)) (*.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)) (+.f64 (fma.f64 27/8 (/.f64 (pow.f64 (log1p.f64 x) 4) (pow.f64 n 4)) (/.f64 9/2 (/.f64 (*.f64 n n) (pow.f64 (log1p.f64 x) 2)))) (-.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (fma.f64 9/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (*.f64 27/8 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))))) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
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(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)) |
(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 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(pow.f64 (exp.f64 2) (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
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(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (*.f64 2 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
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(pow.f64 (exp.f64 2) (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (exp.f64 (/.f64 (log.f64 x) n)) 2) |
(pow.f64 (exp.f64 2) (/.f64 (log.f64 x) n)) |
1 |
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(+.f64 1 (*.f64 (/.f64 (log.f64 x) n) 2)) |
(fma.f64 (/.f64 (log.f64 x) n) 2 1) |
(+.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))))) |
(fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1) |
(+.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)))))) |
(+.f64 1 (fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 4/3))) |
1 |
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(fma.f64 (/.f64 (log.f64 x) n) 2 1) |
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(fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) 1) |
(+.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)))))) |
(+.f64 1 (fma.f64 2 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (*.f64 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) 4/3))) |
1 |
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(fma.f64 2 (/.f64 x n) 1) |
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(fma.f64 (-.f64 (/.f64 2 (*.f64 n n)) (/.f64 1 n)) (*.f64 x x) (+.f64 1 (*.f64 2 (/.f64 x n)))) |
(fma.f64 (*.f64 x x) (+.f64 (/.f64 2 (*.f64 n n)) (/.f64 -1 n)) (fma.f64 2 (/.f64 x n) 1)) |
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(pow.f64 (exp.f64 -2) (/.f64 (neg.f64 (log.f64 x)) n)) |
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1 |
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1 |
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(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
(cbrt.f64 (pow.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) 3)) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
(exp.f64 (*.f64 (/.f64 2 n) (log1p.f64 x))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)))) |
(pow.f64 (exp.f64 (/.f64 2 n)) (log1p.f64 x)) |
(pow.f64 (+.f64 x 1) (/.f64 2 n)) |
Compiled 51236 to 28914 computations (43.6% saved)
36 alts after pruning (34 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1360 | 32 | 1392 |
| Fresh | 5 | 2 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 2 | 4 |
| Total | 1368 | 36 | 1404 |
| Status | Error | Program |
|---|---|---|
| ▶ | 17.4b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 34.0b | (pow.f64 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 2) | |
| 28.0b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) | |
| 26.3b | (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) | |
| 17.4b | (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) | |
| 26.1b | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| 26.1b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 17.3b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 38.8b | (/.f64 (/.f64 1 x) n) | |
| 38.8b | (/.f64 (/.f64 1 n) x) | |
| 39.2b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 38.9b | (/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) | |
| 43.0b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 43.5b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| 29.1b | (/.f64 (neg.f64 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 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)))))) | |
| 29.2b | (/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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)))))) | |
| 42.9b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 26.3b | (/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 x n)) | |
| ▶ | 17.2b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 17.6b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ✓ | 26.1b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| ▶ | 17.5b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ▶ | 39.3b | (/.f64 1 (*.f64 x n)) |
| 43.1b | (-.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)) | |
| 17.3b | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) | |
| 39.7b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 49.9b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 43.1b | (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) | |
| 31.2b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 43.5b | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 32.9b | (+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 39.5b | (+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) | |
| ▶ | 26.1b | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 17.3b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) | |
| 53.3b | (exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) | |
| 30.0b | (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
Compiled 1098 to 762 computations (30.6% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 (+.f64 x 1) x) |
| ✓ | 0.1b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| ✓ | 3.8b | (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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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n))))) (#(struct:change #<rule 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n))))))) |
((#(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 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(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))) |
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(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(/.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)) |
(/.f64 (+.f64 x 1) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 1 (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (sqrt.f64 x)) |
(/.f64 (+.f64 x 1) (*.f64 (sqrt.f64 x) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 1 x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 x) 2)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 (fma.f64 x x -1) x))) |
(*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) (*.f64 x (fma.f64 x x -1)))) |
(/.f64 (*.f64 (+.f64 x 1) (/.f64 (fma.f64 x x -1) x)) (fma.f64 x x -1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 (+.f64 (pow.f64 x 3) -1) x)) (+.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 x (fma.f64 x x -1))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x x) -1)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (+.f64 -1 x)))) (+.f64 -1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) x)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 x)) |
(/.f64 (-.f64 -1 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(fabs.f64 (+.f64 1 (/.f64 1 x))) |
(fabs.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.8b | (/.f64 1 (*.f64 x n)) |
Compiled 13 to 6 computations (53.8% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 1300× | add-sqr-sqrt |
| 1284× | *-un-lft-identity |
| 1192× | add-cube-cbrt |
| 1176× | add-cbrt-cube |
| 1162× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 139 | 13 |
| 2 | 1649 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))))))) |
| 1× | egg-herbie |
| 1764× | associate-/r* |
| 1214× | associate-*r* |
| 1008× | associate-*l* |
| 956× | associate-/l/ |
| 668× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 647 |
| 1 | 151 | 647 |
| 2 | 548 | 641 |
| 3 | 3542 | 635 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (*.f64 x n) -1) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (cbrt.f64 (*.f64 n x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n x)) -2) (cbrt.f64 (*.f64 n x))) |
(pow.f64 (*.f64 x n) -1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| 0.8b | (/.f64 1 (*.f64 x n)) | |
| ✓ | 2.5b | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
Compiled 32 to 17 computations (46.9% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 0.0ms | x | @ | inf | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 0.0ms | x | @ | 0 | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 0.0ms | n | @ | 0 | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 0.0ms | n | @ | -inf | (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| 1× | batch-egg-rewrite |
| 1306× | associate-*r/ |
| 1176× | associate-/r* |
| 938× | *-commutative |
| 804× | associate-*l/ |
| 688× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 211 | 25 |
| 2 | 2724 | 25 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| Outputs |
|---|
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(#(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 (/.f64 (pow.f64 x -1) n) 3) (pow.f64 (pow.f64 x (/.f64 1 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 log1p.f64 (expm1.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))))))) |
| 1× | egg-herbie |
| 1116× | associate-/l* |
| 1032× | unswap-sqr |
| 738× | distribute-frac-neg |
| 678× | associate-/l/ |
| 648× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 6860 |
| 1 | 1165 | 6700 |
| 2 | 4728 | 6692 |
| 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))))) |
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(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (sqrt.f64 x)) (*.f64 n (sqrt.f64 x))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (pow.f64 (cbrt.f64 n) 2)) (*.f64 x (cbrt.f64 n))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (pow.f64 (cbrt.f64 x) 2)) (*.f64 n (cbrt.f64 x))) |
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(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (*.f64 x (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (*.f64 n (sqrt.f64 x))) (sqrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) 1) (*.f64 n (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) |
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(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 x)) (sqrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (cbrt.f64 (*.f64 x n))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) (sqrt.f64 (cbrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (sqrt.f64 (*.f64 x n)))) (sqrt.f64 (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)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 n)) (cbrt.f64 x)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 x)) (cbrt.f64 n)) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 x n)))) (sqrt.f64 (cbrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) (cbrt.f64 (cbrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (cbrt.f64 (*.f64 x n))))) (cbrt.f64 (cbrt.f64 (*.f64 x 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) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (neg.f64 n)))) |
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x n) -2) (pow.f64 x (/.f64 2 n)))) |
(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 (/.f64 (pow.f64 x -1) n) 3) (pow.f64 (pow.f64 x (/.f64 1 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 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (*.f64 1 (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 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (*.f64 1 (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 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (*.f64 1 (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 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (*.f64 1 (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 (/.f64 1 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 (/.f64 1 n) x) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.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 n) x) (/.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 (*.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 (/.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)))))) |
(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 (/.f64 1 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 (/.f64 1 n) x) (/.f64 (log.f64 x) (*.f64 x (*.f64 n n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.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 n) x) (/.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 (*.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 (/.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)))))) |
(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 n)) (*.f64 x n)))) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 1 (/.f64 (*.f64 x n) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1/2 n)) (/.f64 x (/.f64 (pow.f64 x (/.f64 1/2 n)) n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) x) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) x) n) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 2 n))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) (cbrt.f64 (pow.f64 x (/.f64 1/2 n))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (/.f64 x (pow.f64 x (/.f64 1/2 n))) n)) (cbrt.f64 (pow.f64 x (/.f64 1/2 n)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x) (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (cbrt.f64 (pow.f64 x (/.f64 1/2 n))))) |
(/.f64 (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 1/2 n)))) (*.f64 n (/.f64 x (pow.f64 x (/.f64 1/2 n))))) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (*.f64 x n) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (*.f64 x n))) |
(/.f64 (pow.f64 x -1) (/.f64 n (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 -1 (/.f64 (*.f64 x (neg.f64 n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (*.f64 (/.f64 x (pow.f64 x (/.f64 1/2 n))) n)) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (*.f64 n (/.f64 x (pow.f64 x (/.f64 1/2 n)))))) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (*.f64 (/.f64 x (cbrt.f64 (pow.f64 x (/.f64 1 n)))) n))) |
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (*.f64 (/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))) |
(/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (/.f64 x (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) (sqrt.f64 (pow.f64 x (/.f64 1/2 n))))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (*.f64 (/.f64 x (pow.f64 x (/.f64 1/2 n))) n)) (sqrt.f64 (pow.f64 x (/.f64 1/2 n)))) |
(/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 x (*.f64 (/.f64 (pow.f64 x (/.f64 1/2 n)) n) (sqrt.f64 (pow.f64 x (/.f64 1/2 n)))))) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1/2 n))) (*.f64 n (/.f64 x (pow.f64 x (/.f64 1/2 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))))) (/.f64 (/.f64 (*.f64 x n) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (/.f64 (*.f64 x n) (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))))) (*.f64 x n)) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))) (/.f64 (*.f64 (/.f64 n (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))))) (/.f64 x (cbrt.f64 (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n)))))) |
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(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (cbrt.f64 (*.f64 x n)))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) (cbrt.f64 (sqrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x n))) (cbrt.f64 (sqrt.f64 (*.f64 x n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x n))) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) (cbrt.f64 (sqrt.f64 (*.f64 x n)))))) |
(/.f64 (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 x n))) (cbrt.f64 (cbrt.f64 (*.f64 x n))))) (cbrt.f64 (cbrt.f64 (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.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 1/2 n)) x) (/.f64 (pow.f64 x (/.f64 1/2 n)) n)) |
(/.f64 (/.f64 (pow.f64 x (*.f64 2 (/.f64 1/2 n))) x) n) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(/.f64 (pow.f64 x (/.f64 1 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 (*.f64 (pow.f64 (*.f64 x n) -2) (pow.f64 x (/.f64 2 n)))) |
(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)))) |
(/.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 (/.f64 (pow.f64 x -1) n) 3) (pow.f64 (pow.f64 x (/.f64 1 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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.3b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 3.4b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 30 to 9 computations (70% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 1.0ms | x | @ | inf | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 1.0ms | n | @ | 0 | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 1.0ms | n | @ | -inf | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 1.0ms | x | @ | -inf | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
| 1× | batch-egg-rewrite |
| 1140× | associate-*r/ |
| 1064× | associate-/r* |
| 1032× | *-commutative |
| 810× | associate-*l/ |
| 744× | associate-/l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 48 |
| 1 | 234 | 42 |
| 2 | 3035 | 42 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1252× | associate-/l* |
| 980× | associate-/r* |
| 974× | associate-*r* |
| 828× | *-commutative |
| 792× | associate-*l* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 808 | 17651 |
| 1 | 2303 | 17543 |
| 1× | node limit |
| Inputs |
|---|
(/.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 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
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(*.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 n 1) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -1) |
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(neg.f64 (/.f64 n (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(exp.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
| Outputs |
|---|
(/.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 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2))))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (neg.f64 (*.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 x) n) (*.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (*.f64 n n))) (*.f64 x x))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2))) (+.f64 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (log.f64 x)) (pow.f64 n 2)) (*.f64 -1 (/.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (log.f64 x))))) (pow.f64 x 3))) (*.f64 -1 (*.f64 (+.f64 (/.f64 1 (*.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 (log.f64 x) 2)) (pow.f64 n 2)))) (pow.f64 x 2)))))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1 (+.f64 (*.f64 (fma.f64 -1 (/.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))) (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (log.f64 x))) (neg.f64 (/.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (log.f64 x))))) (pow.f64 x 3)) (*.f64 (+.f64 (/.f64 1 (*.f64 (log.f64 x) n)) (neg.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 (*.f64 n n) (pow.f64 (log.f64 x) 2))))) (*.f64 x x)))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (*.f64 n n))) (*.f64 x x)) (*.f64 (fma.f64 -1 (*.f64 (/.f64 (fma.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2)) (fma.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3)) (/.f64 n (pow.f64 (log.f64 x) 4)))) (*.f64 n n)) (pow.f64 (log.f64 x) 2)) (+.f64 (/.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (/.f64 (log.f64 x) n))) (neg.f64 (/.f64 (+.f64 (/.f64 (/.f64 1 n) (log.f64 x)) (/.f64 (*.f64 (neg.f64 (pow.f64 (log.f64 x) 2)) (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3)))) (*.f64 n n))) (log.f64 x))))) (pow.f64 x 3)))))) |
(/.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 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n))) (pow.f64 x 3))))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 1/2 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n))))) (pow.f64 n 2))) (+.f64 (*.f64 1/2 (-.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/3 n) (*.f64 -1/4 n)) (pow.f64 n 2))))) (*.f64 1/2 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (pow.f64 n 2))))) (pow.f64 x 4))) (/.f64 1 (*.f64 n x)))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 -1 (/.f64 (+.f64 (*.f64 -1/4 n) (*.f64 1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))))) |
(+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (fma.f64 1/2 (*.f64 n 1/12) (*.f64 n -1/12)) (*.f64 n n)) (*.f64 1/2 (+.f64 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n)))) (/.f64 (*.f64 n 1/12) (*.f64 n n))))) (pow.f64 x 4)) (/.f64 1 (*.f64 x n))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 (*.f64 n n) (pow.f64 x 3))))))) |
(+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 n n)) (fma.f64 1/2 (-.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n)))) (/.f64 (*.f64 n 1/24) (*.f64 n n)))) (pow.f64 x 4)) (/.f64 1 (*.f64 x n))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (neg.f64 (/.f64 (*.f64 n 1/12) (*.f64 n n))) (pow.f64 x 3))))) |
(/.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 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (+.f64 (*.f64 1/4 (/.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 (/.f64 (*.f64 n -1/12) (*.f64 (*.f64 n n) (pow.f64 x 3))) (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/4 (*.f64 n (pow.f64 x 3))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (fma.f64 -1 (/.f64 (*.f64 n -1/12) (*.f64 n (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 x n)))) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/6 n) (+.f64 (*.f64 -1/4 n) (*.f64 -1/2 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n))))) (pow.f64 n 2))) (+.f64 (*.f64 -1/2 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))) (*.f64 1/2 (+.f64 (*.f64 1/4 (/.f64 1 n)) (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (pow.f64 n 2))))))) (pow.f64 x 4))) (+.f64 (*.f64 -1 (/.f64 (+.f64 (*.f64 1/4 n) (*.f64 -1/3 n)) (*.f64 (pow.f64 n 2) (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (fma.f64 -1 (/.f64 (fma.f64 -1 (/.f64 (+.f64 (*.f64 n -1/12) (*.f64 -1/2 (*.f64 n -1/12))) (*.f64 n n)) (fma.f64 -1/2 (/.f64 (*.f64 n -1/12) (*.f64 n n)) (*.f64 1/2 (+.f64 (/.f64 1/4 n) (neg.f64 (/.f64 (*.f64 n -1/12) (*.f64 n n))))))) (pow.f64 x 4)) (fma.f64 -1 (/.f64 (*.f64 n -1/12) (*.f64 (*.f64 n n) (pow.f64 x 3))) (/.f64 1 (*.f64 x n))))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (neg.f64 (+.f64 (/.f64 (fma.f64 -1 (/.f64 (*.f64 1/2 (*.f64 n -1/12)) (*.f64 n n)) (+.f64 (/.f64 1/8 n) (+.f64 (/.f64 (*.f64 n 1/24) (*.f64 n n)) (/.f64 (*.f64 n 1/24) (*.f64 n n))))) (pow.f64 x 4)) (/.f64 (*.f64 n -1/12) (*.f64 n (*.f64 n (pow.f64 x 3))))))) (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 n (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2)))) |
(fma.f64 -1 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x)))) |
(neg.f64 (+.f64 (/.f64 n (log.f64 x)) (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x)))) |
(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2))))) |
(fma.f64 -1 (*.f64 (fma.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2)) (/.f64 n (pow.f64 (log.f64 x) 3))) (*.f64 x x)) (fma.f64 -1 (/.f64 n (log.f64 x)) (neg.f64 (/.f64 n (/.f64 (pow.f64 (log.f64 x) 2) x))))) |
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(+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 -1/2 (/.f64 n (pow.f64 (log.f64 x) 2))) (/.f64 n (pow.f64 (log.f64 x) 3))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/3 (/.f64 n (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 -1 (/.f64 n (pow.f64 (log.f64 x) 3))) (/.f64 n (pow.f64 (log.f64 x) 4)))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 n (log.f64 x))) (*.f64 -1 (/.f64 (*.f64 n x) (pow.f64 (log.f64 x) 2)))))) |
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(/.f64 (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 n (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) |
(*.f64 (/.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(/.f64 (*.f64 1 (cbrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (neg.f64 n) (+.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log.f64 x) 2)))) |
(*.f64 (/.f64 (neg.f64 n) (neg.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) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (neg.f64 n) (+.f64 (pow.f64 (log.f64 x) 3) (neg.f64 (pow.f64 (log1p.f64 x) 3))))) |
(*.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) |
(*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (/.f64 (neg.f64 n) (+.f64 (neg.f64 (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log.f64 x) 2)))) |
(*.f64 (/.f64 (/.f64 n 1) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (neg.f64 n) (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (neg.f64 n) (+.f64 (pow.f64 (log.f64 x) 3) (neg.f64 (pow.f64 (log1p.f64 x) 3))))) |
(*.f64 (/.f64 (/.f64 n 1) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))))) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 n (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 (/.f64 n 1) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 n (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) |
(*.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))))) (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(*.f64 (/.f64 (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 n (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (sqrt.f64 (+.f64 (log.f64 x) (log1p.f64 x))) (/.f64 n (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))))) |
(*.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(*.f64 (/.f64 n (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(*.f64 (/.f64 (/.f64 n (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))))) |
(*.f64 (/.f64 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 n (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(*.f64 (/.f64 n (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) (cbrt.f64 (+.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) -1) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (sqrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (cbrt.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(neg.f64 (/.f64 n (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(log.f64 (exp.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(cbrt.f64 (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(expm1.f64 (log1p.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(exp.f64 (log.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.1b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| ✓ | 0.6b | (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 3.4b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 35 to 8 computations (77.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | 0 | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | -inf | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | inf | (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | x | @ | 0 | (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
| 0.0ms | x | @ | -inf | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
| 1× | batch-egg-rewrite |
| 1076× | associate-*r/ |
| 972× | *-commutative |
| 834× | associate-/r* |
| 788× | associate-*l/ |
| 692× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 55 |
| 1 | 218 | 55 |
| 2 | 2763 | 55 |
| 1× | node limit |
| Inputs |
|---|
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| Outputs |
|---|
((#(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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(#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) |
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| 1× | egg-herbie |
| 736× | associate-*r* |
| 724× | fma-def |
| 680× | associate-/l* |
| 638× | associate-*l* |
| 518× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 622 | 12125 |
| 1 | 1694 | 11673 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(log.f64 (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (*.f64 -1 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 x (log.f64 x))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(+.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 0) |
(+.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 0 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) (*.f64 1 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) (*.f64 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1)) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (log.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(-.f64 (+.f64 0 (log.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (log.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) 1) |
(*.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(*.f64 1 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (-.f64 (log1p.f64 x) (+.f64 (log.f64 x) 1))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 (/.f64 1/2 x) x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 x) x) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (/.f64 1/2 (*.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 (/.f64 1 n) x) (+.f64 (/.f64 1/2 (*.f64 (*.f64 x x) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/4 (*.f64 (pow.f64 x 4) n)))) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(/.f64 (-.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) |
(log.f64 (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (*.f64 -1 (/.f64 x (log.f64 x)))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (neg.f64 (/.f64 x (log.f64 x)))) |
(-.f64 (log.f64 (neg.f64 (log.f64 x))) (/.f64 x (log.f64 x))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 -1 (/.f64 x (log.f64 x))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2))))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (fma.f64 -1 (/.f64 x (log.f64 x)) (*.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))))))) |
(+.f64 (-.f64 (log.f64 (neg.f64 (log.f64 x))) (/.f64 x (log.f64 x))) (*.f64 (*.f64 x x) (*.f64 1/2 (+.f64 (/.f64 1 (log.f64 x)) (/.f64 -1 (pow.f64 (log.f64 x) 2)))))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (-.f64 (*.f64 3 (/.f64 1 (pow.f64 (log.f64 x) 2))) (+.f64 (*.f64 2 (/.f64 1 (log.f64 x))) (*.f64 2 (/.f64 1 (pow.f64 (log.f64 x) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 -1 (/.f64 x (log.f64 x))) (*.f64 1/2 (*.f64 (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 x 2)))))) |
(+.f64 (log.f64 (neg.f64 (log.f64 x))) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (-.f64 (/.f64 3 (pow.f64 (log.f64 x) 2)) (+.f64 (/.f64 2 (log.f64 x)) (/.f64 2 (pow.f64 (log.f64 x) 3))))) (fma.f64 -1 (/.f64 x (log.f64 x)) (*.f64 1/2 (*.f64 (*.f64 x x) (-.f64 (/.f64 1 (log.f64 x)) (/.f64 1 (pow.f64 (log.f64 x) 2)))))))) |
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(*.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 2 (log.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (sqrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 2) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (cbrt.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) 1/3) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(sqrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(fabs.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(cbrt.f64 (pow.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3)) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(expm1.f64 (log1p.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(exp.f64 (log.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (-.f64 (log1p.f64 x) (+.f64 (log.f64 x) 1))) |
(log1p.f64 (+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) -1)) |
Compiled 38924 to 16863 computations (56.7% saved)
40 alts after pruning (37 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1803 | 19 | 1822 |
| Fresh | 11 | 18 | 29 |
| Picked | 1 | 0 | 1 |
| Done | 3 | 3 | 6 |
| Total | 1818 | 40 | 1858 |
| Status | Error | Program |
|---|---|---|
| ▶ | 43.0b | (pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
| 38.9b | (pow.f64 (+.f64 (*.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 n (/.f64 x 1/12)))) -1) | |
| 17.5b | (pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1) | |
| ▶ | 36.7b | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 28.0b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) | |
| 53.3b | (pow.f64 (sqrt.f64 (*.f64 n x)) -2) | |
| 39.4b | (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) | |
| ▶ | 26.1b | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 26.1b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 25.6b | (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) | |
| 38.8b | (/.f64 (/.f64 1 x) n) | |
| 17.3b | (/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ▶ | 38.8b | (/.f64 (/.f64 1 n) x) |
| 39.2b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 22.6b | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) | |
| 43.0b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 43.5b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| 25.6b | (/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n)) x) | |
| 29.2b | (/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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)))))) | |
| ▶ | 17.1b | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| 42.9b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 18.7b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) | |
| 30.0b | (/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n) | |
| 37.0b | (/.f64 (log.f64 1) n) | |
| ✓ | 26.1b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 44.7b | (/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) | |
| 17.4b | (/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ✓ | 39.3b | (/.f64 1 (*.f64 x n)) |
| 43.1b | (-.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)) | |
| 39.7b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 49.9b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 43.4b | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 43.1b | (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) | |
| 31.2b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 43.5b | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 32.9b | (+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) | |
| 38.8b | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| 17.2b | (*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) | |
| 53.3b | (exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) | |
| 30.0b | (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
Compiled 1059 to 753 computations (28.9% saved)
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (/.f64 x (+.f64 x 1)) |
| ✓ | 0.1b | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| ✓ | 3.7b | (log.f64 (/.f64 x (+.f64 x 1))) |
Compiled 35 to 23 computations (34.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 49.0ms | n | @ | 0 | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| 4.0ms | n | @ | inf | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| 0.0ms | x | @ | inf | (log.f64 (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (log.f64 (/.f64 x (+.f64 x 1))) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| 1× | batch-egg-rewrite |
| 1368× | associate-*l/ |
| 1362× | associate-/l* |
| 1004× | *-commutative |
| 542× | associate-/r/ |
| 426× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 57 |
| 1 | 235 | 49 |
| 2 | 3311 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 x (+.f64 x 1))) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
(/.f64 x (+.f64 x 1)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (-.f64 0 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (log.f64 (/.f64 -1 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (neg.f64 (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 1 (log.f64 (/.f64 -1 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 1 (neg.f64 (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change 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egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x 1)) (+.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 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (sqrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) 1) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) -1) (-.f64 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) 1) (/.f64 -1 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (fma.f64 x x -1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.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 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 x) (log1p.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))))))) |
| 1× | egg-herbie |
| 850× | associate-*r* |
| 798× | associate-/l* |
| 688× | associate-*l* |
| 648× | associate-*r/ |
| 640× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 754 | 9909 |
| 1 | 2000 | 9265 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -1 x) (log.f64 x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (log.f64 x))) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 x (+.f64 1 x))) n)) |
x |
(+.f64 (*.f64 -1 (pow.f64 x 2)) x) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (pow.f64 x 3) x)) |
(+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -1 (pow.f64 x 4)) (+.f64 (pow.f64 x 3) x))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
1 |
(-.f64 1 (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (+.f64 1 (/.f64 1 (pow.f64 x 2))) (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))) |
(+.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 0) |
(+.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(+.f64 (log1p.f64 x) (-.f64 0 (log.f64 x))) |
(+.f64 (log.f64 x) (log.f64 (/.f64 -1 (-.f64 -1 x)))) |
(+.f64 (log.f64 x) (neg.f64 (log1p.f64 x))) |
(+.f64 (log.f64 x) (*.f64 1 (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 x) (*.f64 1 (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 x) (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) 1)) |
(+.f64 (log.f64 x) (*.f64 (neg.f64 (log1p.f64 x)) 1)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 (sqrt.f64 x)) (+.f64 (log.f64 (sqrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 x)) (-.f64 (log.f64 (sqrt.f64 x)) (log1p.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (+.f64 (log.f64 (cbrt.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (+.f64 (log.f64 (cbrt.f64 x)) (neg.f64 (log1p.f64 x)))) |
(+.f64 (log.f64 (cbrt.f64 (*.f64 x x))) (-.f64 (log.f64 (cbrt.f64 x)) (log1p.f64 x))) |
(+.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) (log.f64 x)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (-.f64 0 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (neg.f64 (log1p.f64 x)) (log.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))))) |
(+.f64 (+.f64 0 (-.f64 0 (log.f64 x))) (log1p.f64 x)) |
(+.f64 (+.f64 (-.f64 0 (log.f64 x)) 0) (log1p.f64 x)) |
(+.f64 (+.f64 (-.f64 0 (log.f64 x)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (log.f64 (cbrt.f64 (+.f64 x 1)))) |
(+.f64 (+.f64 (-.f64 0 (log.f64 x)) (log.f64 (sqrt.f64 (+.f64 x 1)))) (log.f64 (sqrt.f64 (+.f64 x 1)))) |
(+.f64 (-.f64 0 (log.f64 (neg.f64 x))) (log.f64 (-.f64 -1 x))) |
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) 1) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (fma.f64 x x (-.f64 1 x)))) |
(+.f64 (-.f64 (log.f64 x) (log.f64 (fma.f64 x x -1))) (log.f64 (+.f64 x -1))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) (*.f64 1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))) |
(+.f64 (*.f64 1 (-.f64 0 (log.f64 x))) (log1p.f64 x)) |
(+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1 (log.f64 (/.f64 -1 (-.f64 -1 x))))) |
(+.f64 (*.f64 -1 (log.f64 x)) (*.f64 -1 (neg.f64 (log1p.f64 x)))) |
(+.f64 (*.f64 -1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))))) (*.f64 -1 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))))) |
(+.f64 (*.f64 -1 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (*.f64 -1 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))))) |
(+.f64 (*.f64 -1 (-.f64 0 (log.f64 x))) (*.f64 -1 (log1p.f64 x))) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) 1) (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) 1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) 1)) |
(+.f64 (*.f64 (-.f64 0 (log.f64 x)) 1) (log1p.f64 x)) |
(+.f64 (*.f64 (log.f64 x) -1) (*.f64 (log.f64 (/.f64 -1 (-.f64 -1 x))) -1)) |
(+.f64 (*.f64 (log.f64 x) -1) (*.f64 (neg.f64 (log1p.f64 x)) -1)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) -1) (*.f64 (log.f64 (sqrt.f64 (/.f64 x (+.f64 x 1)))) -1)) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) -1) (*.f64 (log.f64 (cbrt.f64 (/.f64 x (+.f64 x 1)))) -1)) |
(+.f64 (*.f64 (-.f64 0 (log.f64 x)) -1) (*.f64 (log1p.f64 x) -1)) |
(-.f64 0 (-.f64 (log.f64 x) (log1p.f64 x))) |
(-.f64 (log.f64 x) (log1p.f64 x)) |
(-.f64 (log.f64 (neg.f64 x)) (log.f64 (-.f64 -1 x))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) 1) |
(-.f64 (-.f64 0 (log.f64 x)) (log.f64 (/.f64 -1 (-.f64 -1 x)))) |
(-.f64 (-.f64 0 (log.f64 x)) (neg.f64 (log1p.f64 x))) |
(-.f64 (+.f64 0 (log.f64 (neg.f64 x))) (log.f64 (-.f64 -1 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) 1) |
(-.f64 (+.f64 (-.f64 0 (log.f64 x)) (log.f64 (+.f64 1 (pow.f64 x 3)))) (log.f64 (fma.f64 x x (-.f64 1 x)))) |
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(*.f64 (/.f64 -1 (/.f64 n (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2))) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(*.f64 (/.f64 -1 (/.f64 n -1)) (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log.f64 x) (log1p.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 x (+.f64 x 1)) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (log.f64 x) (log1p.f64 x)) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 x) (log1p.f64 x)) n))) |
(+.f64 (*.f64 (/.f64 1 x) x) (*.f64 (/.f64 1 x) 1)) |
(+.f64 (*.f64 1 (/.f64 1 x)) (*.f64 x (/.f64 1 x))) |
(+.f64 (*.f64 (/.f64 1 x) 1) (*.f64 (/.f64 1 x) x)) |
(+.f64 (*.f64 (/.f64 1 (neg.f64 x)) -1) (*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 x))) |
(+.f64 (*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 x)) (*.f64 (/.f64 1 (neg.f64 x)) -1)) |
(+.f64 (*.f64 (/.f64 x (fma.f64 x x -1)) x) (*.f64 (/.f64 x (fma.f64 x x -1)) -1)) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x))) |
(+.f64 (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (-.f64 1 x)) (*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (*.f64 x x))) |
(+.f64 (*.f64 x (/.f64 1 x)) (*.f64 1 (/.f64 1 x))) |
(+.f64 (*.f64 -1 (/.f64 1 (neg.f64 x))) (*.f64 (neg.f64 x) (/.f64 1 (neg.f64 x)))) |
(+.f64 (*.f64 (neg.f64 x) (/.f64 1 (neg.f64 x))) (*.f64 -1 (/.f64 1 (neg.f64 x)))) |
(+.f64 (*.f64 x (/.f64 x (fma.f64 x x -1))) (*.f64 -1 (/.f64 x (fma.f64 x x -1)))) |
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (+.f64 1 (pow.f64 x 3)))) (*.f64 (-.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 x 3))))) |
(+.f64 (*.f64 (-.f64 1 x) (/.f64 x (+.f64 1 (pow.f64 x 3)))) (*.f64 (*.f64 x x) (/.f64 x (+.f64 1 (pow.f64 x 3))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) 1) |
(*.f64 x (/.f64 -1 (-.f64 -1 x))) |
(*.f64 1 (/.f64 x (+.f64 x 1))) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (cbrt.f64 (*.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x)))) |
(*.f64 (+.f64 x -1) (/.f64 x (fma.f64 x x -1))) |
(*.f64 -1 (neg.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 -1 (-.f64 -1 x)) x) |
(*.f64 (fma.f64 x x (-.f64 1 x)) (/.f64 x (+.f64 1 (pow.f64 x 3)))) |
(*.f64 (neg.f64 x) (/.f64 1 (-.f64 -1 x))) |
(*.f64 (-.f64 -1 x) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 x (+.f64 x 1)) 1) |
(*.f64 (*.f64 (sqrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (sqrt.f64 x)) |
(*.f64 (*.f64 (cbrt.f64 x) (/.f64 -1 (-.f64 -1 x))) (cbrt.f64 (*.f64 x x))) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1))) (/.f64 x (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 x (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 x 1) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x 1))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 1 (neg.f64 x)) (-.f64 -1 x)) |
(*.f64 (/.f64 1 (fma.f64 x x -1)) (*.f64 x (+.f64 x -1))) |
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 x 3))) (*.f64 x (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 x (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 x (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 1 (-.f64 -1 x)) (neg.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 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 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 (*.f64 x x))) (/.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)) (cbrt.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(*.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) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (sqrt.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x 1)) (/.f64 (sqrt.f64 x) 1)) |
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x 1))) |
(*.f64 (/.f64 (cbrt.f64 x) (+.f64 x 1)) (/.f64 (cbrt.f64 (*.f64 x x)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (cbrt.f64 (*.f64 x x)) (sqrt.f64 (+.f64 x 1)))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (cbrt.f64 (*.f64 x x)) (+.f64 x 1)) (cbrt.f64 x)) |
(*.f64 (/.f64 x (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1))) |
(*.f64 (/.f64 x (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 x (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2))) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 1 (/.f64 (+.f64 x 1) (cbrt.f64 (*.f64 x x)))) (cbrt.f64 x)) |
(*.f64 (/.f64 1 (/.f64 x 1)) (+.f64 x 1)) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 1 (neg.f64 (neg.f64 x))) (neg.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 1) (sqrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 x)) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (fma.f64 x x -1))) (+.f64 x -1)) |
(*.f64 (/.f64 (neg.f64 x) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 1 x) 1) (+.f64 x 1)) |
(*.f64 (/.f64 (/.f64 1 x) -1) (-.f64 -1 x)) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 1 x) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) 1) (cbrt.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 x)) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 2)) (cbrt.f64 (neg.f64 x))) (cbrt.f64 (-.f64 -1 x))) |
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 -1 (-.f64 -1 x))) |
(*.f64 (/.f64 (/.f64 x 1) (fma.f64 x x -1)) (+.f64 x -1)) |
(*.f64 (/.f64 (/.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x x (-.f64 1 x))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (fma.f64 x x -1))) (neg.f64 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 x 1) (neg.f64 (+.f64 1 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x)) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) 1) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(pow.f64 (exp.f64 -1) (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(neg.f64 (/.f64 x (-.f64 -1 x))) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) |
| Outputs |
|---|
(log.f64 x) |
(+.f64 (*.f64 -1 x) (log.f64 x)) |
(fma.f64 -1 x (log.f64 x)) |
(-.f64 (log.f64 x) x) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (log.f64 x))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (log.f64 x))) |
(fma.f64 1/2 (*.f64 x x) (-.f64 (log.f64 x) x)) |
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/3 (pow.f64 x 3)) (log.f64 x)))) |
(fma.f64 1/2 (*.f64 x x) (fma.f64 -1 x (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)))) |
(fma.f64 1/2 (*.f64 x x) (-.f64 (fma.f64 -1/3 (pow.f64 x 3) (log.f64 x)) x)) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(/.f64 -1 x) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (/.f64 1 x)) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1 x)) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 -1 x)) |
(-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 x 2))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x))) |
(+.f64 (/.f64 1/4 (pow.f64 x 4)) (-.f64 (/.f64 1/2 (*.f64 x x)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(+.f64 (/.f64 1/2 (*.f64 x x)) (-.f64 (/.f64 1/4 (pow.f64 x 4)) (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n))) |
(+.f64 (/.f64 x n) (-.f64 (/.f64 (*.f64 (*.f64 x x) -1/2) n) (/.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 (*.f64 -1/2 (*.f64 x x)) n)))) |
(+.f64 (-.f64 (/.f64 (*.f64 (*.f64 x x) -1/2) n) (/.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 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
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(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (+.f64 x 1)) (hypot.f64 1 (pow.f64 x 3/2)))) (sqrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (+.f64 x -1))) |
(*.f64 (/.f64 x (*.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1)))) (sqrt.f64 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 1 (pow.f64 x 3)))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) 1))) (cbrt.f64 (fma.f64 x x (-.f64 1 x)))) |
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x -1))) |
(*.f64 (/.f64 (/.f64 x (cbrt.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x -1))) |
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x 1))) 2) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x 1))) 3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3) 1/3) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) 1) |
(/.f64 x (+.f64 x 1)) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(-.f64 1 (/.f64 -1 x)) |
(pow.f64 (exp.f64 -1) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) (sqrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x))) 2)) (cbrt.f64 (-.f64 (log.f64 x) (log1p.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(neg.f64 (/.f64 x (-.f64 -1 x))) |
(/.f64 x (+.f64 x 1)) |
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 2)) |
(fabs.f64 (/.f64 x (+.f64 x 1))) |
(log.f64 (exp.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x 1))))) |
(/.f64 x (+.f64 x 1)) |
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x 1)) 3)) |
(/.f64 x (+.f64 x 1)) |
(cbrt.f64 (/.f64 (pow.f64 (+.f64 x 1) 3) (pow.f64 x 3))) |
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x 1) 3))) |
(/.f64 x (+.f64 x 1)) |
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
(exp.f64 (-.f64 (log.f64 x) (log1p.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 x (exp.f64 (log1p.f64 x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (exp.f64 -1) (-.f64 (log.f64 x) (log1p.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x 1)))) |
(/.f64 x (+.f64 x 1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (/.f64 (/.f64 1 n) x) |
Compiled 13 to 8 computations (38.5% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | 0 | (/.f64 (/.f64 1 n) x) |
| 0.0ms | n | @ | -inf | (/.f64 (/.f64 1 n) x) |
| 0.0ms | n | @ | inf | (/.f64 (/.f64 1 n) x) |
| 0.0ms | x | @ | -inf | (/.f64 (/.f64 1 n) x) |
| 0.0ms | x | @ | inf | (/.f64 (/.f64 1 n) x) |
| 1× | batch-egg-rewrite |
| 1444× | add-sqr-sqrt |
| 1428× | *-un-lft-identity |
| 1330× | add-cube-cbrt |
| 1312× | add-cbrt-cube |
| 1298× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 145 | 13 |
| 2 | 1832 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (/.f64 1 n) x) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 n x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 n x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1/2) (*.f64 (pow.f64 n -1/2) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) (/.f64 1 (sqrt.f64 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2) (/.f64 1 (cbrt.f64 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 n) (/.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 n -1/2) 1) (/.f64 (pow.f64 n -1/2) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 n -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 n -1/2) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 n)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 n x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 n x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (/.f64 1 n) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 n -2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 n x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 n x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 n x)))))))) |
| 1× | egg-herbie |
| 1470× | associate-+r+ |
| 704× | associate-*r* |
| 568× | associate-*l* |
| 540× | associate-/l* |
| 482× | times-frac |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 89 | 829 |
| 1 | 244 | 805 |
| 2 | 731 | 787 |
| 3 | 3838 | 787 |
| 4 | 7292 | 787 |
| 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 n x))) 1) |
(*.f64 1 (/.f64 1 (*.f64 n x))) |
(*.f64 (/.f64 1 n) (/.f64 1 x)) |
(*.f64 (/.f64 1 (*.f64 n x)) 1) |
(*.f64 (pow.f64 n -1/2) (*.f64 (pow.f64 n -1/2) (/.f64 1 x))) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) (/.f64 1 (sqrt.f64 (*.f64 n x)))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 1 x))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(*.f64 (/.f64 -1 n) (/.f64 1 (neg.f64 x))) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 n -1/2) 1) (/.f64 (pow.f64 n -1/2) x)) |
(*.f64 (/.f64 (pow.f64 n -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 n -1/2) (cbrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 n)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(pow.f64 (/.f64 1 (*.f64 n x)) 1) |
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) 2) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3) 1/3) |
(pow.f64 (*.f64 n x) -1) |
(neg.f64 (/.f64 (/.f64 1 n) (neg.f64 x))) |
(sqrt.f64 (/.f64 (pow.f64 n -2) (*.f64 x x))) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 n x)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 n x)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 n x)))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 n x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 n x)))) |
| Outputs |
|---|
(/.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 n x))) 1) |
(/.f64 1 (*.f64 n x)) |
(*.f64 1 (/.f64 1 (*.f64 n x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 n) (/.f64 1 x)) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 (*.f64 n x)) 1) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (pow.f64 n -1/2) (*.f64 (pow.f64 n -1/2) (/.f64 1 x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) (/.f64 1 (sqrt.f64 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 (cbrt.f64 n)) (/.f64 1 x))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 n)))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (/.f64 1 x) (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 x (cbrt.f64 n))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2)) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 2) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 -1 n) (/.f64 1 (neg.f64 x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 1 n) (sqrt.f64 x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 n) (cbrt.f64 x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 (pow.f64 n -1/2) 1) (/.f64 (pow.f64 n -1/2) x)) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 (pow.f64 n -1/2) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (pow.f64 n -1/2) (cbrt.f64 x))) |
(/.f64 1 (*.f64 n x)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 n)) x)) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 n)))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (/.f64 1 x) (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 x (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (sqrt.f64 x)) (/.f64 (/.f64 1 (cbrt.f64 n)) (sqrt.f64 x))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 n)))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (/.f64 1 x) (cbrt.f64 n))) |
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 x (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (/.f64 (cbrt.f64 (pow.f64 n -2)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 n x))) |
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (cbrt.f64 (*.f64 n x)) (pow.f64 (cbrt.f64 x) 2))) |
(/.f64 (cbrt.f64 (pow.f64 n -2)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (*.f64 n x)))) |
(pow.f64 (/.f64 1 (*.f64 n x)) 1) |
(/.f64 1 (*.f64 n x)) |
(pow.f64 (/.f64 1 (sqrt.f64 (*.f64 n x))) 2) |
(/.f64 1 (*.f64 n x)) |
(pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n x))) 3) |
(/.f64 1 (*.f64 n x)) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3) 1/3) |
(/.f64 1 (*.f64 n x)) |
(pow.f64 (*.f64 n x) -1) |
(/.f64 1 (*.f64 n x)) |
(neg.f64 (/.f64 (/.f64 1 n) (neg.f64 x))) |
(/.f64 1 (*.f64 n x)) |
(sqrt.f64 (/.f64 (pow.f64 n -2) (*.f64 x x))) |
(/.f64 1 (*.f64 n x)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 n x)) 3)) |
(/.f64 1 (*.f64 n x)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
(exp.f64 (neg.f64 (log.f64 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (*.f64 n x))) 1)) |
(/.f64 1 (*.f64 n x)) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 n x)))) |
(/.f64 1 (*.f64 n x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (*.f64 n (+.f64 x 1/2)) |
| ✓ | 0.7b | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
Compiled 21 to 14 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | n | @ | inf | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 1.0ms | n | @ | 0 | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 1.0ms | n | @ | -inf | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 0.0ms | x | @ | 0 | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 0.0ms | x | @ | inf | (pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| 1× | batch-egg-rewrite |
| 866× | *-commutative |
| 808× | unswap-sqr |
| 658× | associate-*r/ |
| 520× | swap-sqr |
| 492× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 1 | 204 | 32 |
| 2 | 2550 | 32 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(*.f64 n (+.f64 x 1/2)) |
| Outputs |
|---|
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| 1× | egg-herbie |
| 1688× | distribute-lft-in |
| 1676× | distribute-rgt-in |
| 538× | associate-*r* |
| 536× | associate-/l* |
| 500× | *-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 482 | 8131 |
| 1 | 1314 | 6897 |
| 2 | 4418 | 6839 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 2 n) |
(+.f64 (*.f64 2 (/.f64 1 n)) (*.f64 -4 (/.f64 x n))) |
(+.f64 (*.f64 2 (/.f64 1 n)) (+.f64 (*.f64 -4 (/.f64 x n)) (*.f64 8 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 2 (/.f64 1 n)) (+.f64 (*.f64 -4 (/.f64 x n)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 x 3) n)) (*.f64 8 (/.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 1/4 (/.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 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 n (pow.f64 x 4)))))) |
(/.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 1/4 (/.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 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 n (pow.f64 x 4)))))) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 1/2 n) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n x) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n x) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) -1) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) 1) |
(*.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))) 1) |
(*.f64 1 (/.f64 1 (*.f64 n (+.f64 x 1/2)))) |
(*.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2))))) |
(*.f64 (/.f64 1 n) (/.f64 1 (+.f64 x 1/2))) |
(*.f64 (/.f64 1 (+.f64 x 1/2)) (/.f64 1 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) -1)) |
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(*.f64 (/.f64 (/.f64 1 n) (fma.f64 x x -1/4)) (+.f64 x -1/2)) |
(*.f64 (/.f64 (/.f64 1 n) (+.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(*.f64 (/.f64 1 (*.f64 n (fma.f64 x x -1/4))) (+.f64 x -1/2)) |
(*.f64 (/.f64 1 (*.f64 n (+.f64 1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
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(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) 1/2)) |
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(*.f64 (*.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/4) (pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) -1/2)) (*.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/4) (pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) -1/2))) |
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(*.f64 (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2)))) (*.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))))) |
(*.f64 (*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))))) (*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2))))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)))) |
(*.f64 (*.f64 (pow.f64 n -1/2) (sqrt.f64 (/.f64 1 (+.f64 x 1/2)))) (*.f64 (pow.f64 n -1/2) (sqrt.f64 (/.f64 1 (+.f64 x 1/2))))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 n) -1) (sqrt.f64 (/.f64 1 (+.f64 x 1/2)))) (*.f64 (pow.f64 (sqrt.f64 n) -1) (sqrt.f64 (/.f64 1 (+.f64 x 1/2))))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 n)) (pow.f64 (+.f64 x 1/2) -1/2)) (*.f64 (sqrt.f64 (/.f64 1 n)) (pow.f64 (+.f64 x 1/2) -1/2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 n) -1) (pow.f64 (+.f64 x 1/2) -1/2)) (*.f64 (pow.f64 (sqrt.f64 n) -1) (pow.f64 (+.f64 x 1/2) -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1)) (*.f64 (sqrt.f64 (/.f64 1 n)) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1))) |
(*.f64 (*.f64 (pow.f64 n -1/2) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1)) (*.f64 (pow.f64 n -1/2) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 n) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1)) (*.f64 (pow.f64 (sqrt.f64 n) -1) (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x 1/2) -1/2) (sqrt.f64 (/.f64 1 n))) (*.f64 (pow.f64 (+.f64 x 1/2) -1/2) (sqrt.f64 (/.f64 1 n)))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (sqrt.f64 (/.f64 1 n))) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (sqrt.f64 (/.f64 1 n)))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1/2))) (pow.f64 n -1/2)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1/2))) (pow.f64 n -1/2))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (pow.f64 n -1/2)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (pow.f64 n -1/2))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1/2))) (pow.f64 (sqrt.f64 n) -1)) (*.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1/2))) (pow.f64 (sqrt.f64 n) -1))) |
(*.f64 (*.f64 (pow.f64 (+.f64 x 1/2) -1/2) (pow.f64 (sqrt.f64 n) -1)) (*.f64 (pow.f64 (+.f64 x 1/2) -1/2) (pow.f64 (sqrt.f64 n) -1))) |
(*.f64 (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (pow.f64 (sqrt.f64 n) -1)) (*.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (pow.f64 (sqrt.f64 n) -1))) |
(*.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) 3/2) (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) 3/2)) |
(*.f64 (pow.f64 (/.f64 1 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3)) 1/6) (pow.f64 (/.f64 1 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3)) 1/6)) |
(*.f64 (pow.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 2) -1/4) (pow.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 2) -1/4)) |
(/.f64 -1 (*.f64 (+.f64 x 1/2) (neg.f64 n))) |
(/.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))) 1) |
(/.f64 1 (*.f64 n (+.f64 x 1/2))) |
(/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (sqrt.f64 (*.f64 n (+.f64 x 1/2)))) |
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2)) |
(/.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2)) (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(/.f64 (/.f64 1 (+.f64 x 1/2)) n) |
(/.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (sqrt.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2))))))) |
(/.f64 (sqrt.f64 (/.f64 1 n)) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (sqrt.f64 (/.f64 1 (+.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (/.f64 1 n)) (/.f64 (+.f64 x 1/2) (sqrt.f64 (/.f64 1 n)))) |
(/.f64 (sqrt.f64 (/.f64 1 (+.f64 x 1/2))) (/.f64 n (sqrt.f64 (/.f64 1 (+.f64 x 1/2))))) |
(/.f64 (sqrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (sqrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 n)) (cbrt.f64 (/.f64 1 n))) (/.f64 (+.f64 x 1/2) (cbrt.f64 (/.f64 1 n)))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 1 (+.f64 x 1/2))) (cbrt.f64 (/.f64 1 (+.f64 x 1/2)))) (/.f64 n (cbrt.f64 (/.f64 1 (+.f64 x 1/2))))) |
(/.f64 (pow.f64 n -1/2) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (pow.f64 (+.f64 x 1/2) -1/2))) |
(/.f64 (pow.f64 n -1/2) (/.f64 (+.f64 x 1/2) (pow.f64 n -1/2))) |
(/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/4) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/4))) |
(/.f64 (pow.f64 (+.f64 x 1/2) -1/2) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (pow.f64 n -1/2))) |
(/.f64 (pow.f64 (+.f64 x 1/2) -1/2) (/.f64 n (pow.f64 (+.f64 x 1/2) -1/2))) |
(/.f64 (pow.f64 (sqrt.f64 n) -1) (/.f64 (+.f64 x 1/2) (pow.f64 (sqrt.f64 n) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 n) 2) -1) (/.f64 (+.f64 x 1/2) (pow.f64 (cbrt.f64 n) -1))) |
(/.f64 (pow.f64 1 -1/2) (*.f64 n (+.f64 x 1/2))) |
(/.f64 (pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) -1/2) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) -1/2))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2) -1/2) (/.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) -1/2))) |
(/.f64 (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1) (/.f64 n (pow.f64 (sqrt.f64 (+.f64 x 1/2)) -1))) |
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2) -1) (/.f64 n (pow.f64 (cbrt.f64 (+.f64 x 1/2)) -1))) |
(/.f64 (/.f64 1 (sqrt.f64 n)) (*.f64 (+.f64 x 1/2) (sqrt.f64 n))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (*.f64 (+.f64 x 1/2) (cbrt.f64 n))) |
(/.f64 (/.f64 1 (sqrt.f64 (+.f64 x 1/2))) (*.f64 n (sqrt.f64 (+.f64 x 1/2)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2)) (*.f64 n (cbrt.f64 (+.f64 x 1/2)))) |
(/.f64 (/.f64 1 (*.f64 n (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 1 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2))) (cbrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 1 (*.f64 (+.f64 x 1/2) (sqrt.f64 n))) (sqrt.f64 n)) |
(/.f64 (/.f64 1 (*.f64 (+.f64 x 1/2) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(/.f64 (/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) 1) (sqrt.f64 (*.f64 n (+.f64 x 1/2)))) |
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(/.f64 (/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (sqrt.f64 n)) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (cbrt.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))))) |
(/.f64 (/.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (sqrt.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))))) (sqrt.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))))) |
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(/.f64 (/.f64 (/.f64 1 n) (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 x 1/2))) |
(/.f64 (/.f64 (/.f64 1 n) (cbrt.f64 (+.f64 x 1/2))) (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2)) |
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(sqrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2)))))) |
(cbrt.f64 (/.f64 1 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3))) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 n (+.f64 x 1/2))))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) |
(+.f64 (*.f64 n x) (*.f64 n 1/2)) |
(+.f64 (*.f64 n 1/2) (*.f64 n x)) |
(+.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) -1) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) 1) |
(/.f64 n (/.f64 1 (+.f64 x 1/2))) |
(/.f64 (+.f64 x 1/2) (/.f64 1 n)) |
(/.f64 (*.f64 n (+.f64 x 1/2)) 1) |
(/.f64 1 (/.f64 1 (*.f64 n (+.f64 x 1/2)))) |
(/.f64 (sqrt.f64 (+.f64 x 1/2)) (/.f64 1 (*.f64 n (sqrt.f64 (+.f64 x 1/2))))) |
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(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 1 (*.f64 (+.f64 x 1/2) (cbrt.f64 n)))) |
(/.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2) (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2))))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x -1/2) n)) |
(/.f64 (+.f64 1/8 (pow.f64 x 3)) (/.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))) n)) |
(/.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2)) (/.f64 1 (cbrt.f64 (+.f64 x 1/2)))) |
(/.f64 (*.f64 (+.f64 x 1/2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n))) |
(/.f64 (*.f64 (+.f64 x 1/2) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (*.f64 n (sqrt.f64 (+.f64 x 1/2))) (/.f64 1 (sqrt.f64 (+.f64 x 1/2)))) |
(/.f64 (*.f64 n (fma.f64 x x -1/4)) (+.f64 x -1/2)) |
(/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 n x) 2) (*.f64 1/4 (*.f64 n n))) (*.f64 n (+.f64 x -1/2))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n x) 3) (pow.f64 (*.f64 n 1/2) 3)) (+.f64 (pow.f64 (*.f64 n x) 2) (*.f64 (*.f64 n 1/2) (-.f64 (*.f64 n 1/2) (*.f64 n x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 n x) 3) (pow.f64 (*.f64 n 1/2) 3)) (*.f64 1 (+.f64 (pow.f64 (*.f64 n x) 2) (*.f64 (*.f64 n 1/2) (-.f64 (*.f64 n 1/2) (*.f64 n x)))))) |
(/.f64 (*.f64 n (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)) |
(/.f64 (*.f64 n (neg.f64 (fma.f64 x x -1/4))) (+.f64 (neg.f64 x) 1/2)) |
(/.f64 (*.f64 n (+.f64 -1/8 (neg.f64 (pow.f64 x 3)))) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (*.f64 1 (*.f64 n (fma.f64 x x -1/4))) (+.f64 x -1/2)) |
(/.f64 (*.f64 1 (*.f64 n (+.f64 1/8 (pow.f64 x 3)))) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 n x) 2) (*.f64 1/4 (*.f64 n n)))) (*.f64 n (+.f64 x -1/2))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 n x) 3) (pow.f64 (*.f64 n 1/2) 3))) (+.f64 (pow.f64 (*.f64 n x) 2) (*.f64 (*.f64 n 1/2) (-.f64 (*.f64 n 1/2) (*.f64 n x))))) |
(/.f64 (*.f64 (*.f64 n (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (fma.f64 x x -1/4))) (sqrt.f64 (+.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 n (sqrt.f64 (+.f64 x 1/2))) (sqrt.f64 (+.f64 1/8 (pow.f64 x 3)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2)) (cbrt.f64 (fma.f64 x x -1/4))) (cbrt.f64 (+.f64 x -1/2))) |
(/.f64 (*.f64 (*.f64 n (pow.f64 (cbrt.f64 (+.f64 x 1/2)) 2)) (cbrt.f64 (+.f64 1/8 (pow.f64 x 3)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (*.f64 (-.f64 1/4 (*.f64 x x)) n) (-.f64 1/2 x)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 x x -1/4)) n) (+.f64 (neg.f64 x) 1/2)) |
(/.f64 (*.f64 (+.f64 -1/8 (neg.f64 (pow.f64 x 3))) n) (neg.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (*.f64 (*.f64 n (fma.f64 x x -1/4)) 1) (+.f64 x -1/2)) |
(/.f64 (*.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 n x) 2) (*.f64 1/4 (*.f64 n n))) 1) (*.f64 n (+.f64 x -1/2))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 n x) 3) (pow.f64 (*.f64 n 1/2) 3)) 1) (+.f64 (pow.f64 (*.f64 n x) 2) (*.f64 (*.f64 n 1/2) (-.f64 (*.f64 n 1/2) (*.f64 n x))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x -1/4)) (*.f64 n (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 x -1/2))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 x 3))) (*.f64 n (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) 1) (+.f64 x -1/2)) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x -1/2)) (cbrt.f64 (+.f64 x -1/2)))) (cbrt.f64 (+.f64 x -1/2))) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 n n)) (pow.f64 (*.f64 n x) 2)) (-.f64 (*.f64 n 1/2) (*.f64 n x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) 1)) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) 1) |
(pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) 2) |
(pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 3) |
(pow.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 2)) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/2)) n)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (+.f64 x 1/2))))) |
(cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/2) 3) (pow.f64 n 3))) |
(expm1.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) |
(exp.f64 (log.f64 (*.f64 n (+.f64 x 1/2)))) |
(log1p.f64 (expm1.f64 (*.f64 n (+.f64 x 1/2)))) |
(fma.f64 n x (*.f64 n 1/2)) |
(fma.f64 x n (*.f64 n 1/2)) |
| Outputs |
|---|
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(/.f64 2 n) |
(+.f64 (*.f64 2 (/.f64 1 n)) (*.f64 -4 (/.f64 x n))) |
(+.f64 (/.f64 2 n) (*.f64 -4 (/.f64 x n))) |
(fma.f64 -4 (/.f64 x n) (/.f64 2 n)) |
(+.f64 (*.f64 2 (/.f64 1 n)) (+.f64 (*.f64 -4 (/.f64 x n)) (*.f64 8 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 2 n) (fma.f64 -4 (/.f64 x n) (*.f64 8 (/.f64 (*.f64 x x) n)))) |
(+.f64 (/.f64 2 n) (fma.f64 -4 (/.f64 x n) (/.f64 8 (/.f64 n (*.f64 x x))))) |
(+.f64 (*.f64 2 (/.f64 1 n)) (+.f64 (*.f64 -4 (/.f64 x n)) (+.f64 (*.f64 -16 (/.f64 (pow.f64 x 3) n)) (*.f64 8 (/.f64 (pow.f64 x 2) n))))) |
(+.f64 (/.f64 2 n) (fma.f64 -4 (/.f64 x n) (fma.f64 -16 (/.f64 (pow.f64 x 3) n) (*.f64 8 (/.f64 (*.f64 x x) n))))) |
(+.f64 (/.f64 2 n) (fma.f64 -4 (/.f64 x n) (fma.f64 8 (/.f64 (*.f64 x x) n) (*.f64 -16 (/.f64 (pow.f64 x 3) n))))) |
(+.f64 (fma.f64 -4 (/.f64 x n) (/.f64 2 n)) (fma.f64 -16 (/.f64 (pow.f64 x 3) n) (/.f64 8 (/.f64 n (*.f64 x x))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 n x)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 n (pow.f64 x 4)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 n x)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 n x)) (-.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (/.f64 (/.f64 1/2 n) (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))) (*.f64 1/8 (/.f64 1 (*.f64 n (pow.f64 x 4)))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 1 (*.f64 n x)) (/.f64 1/4 (*.f64 n (pow.f64 x 3)))) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (+.f64 (/.f64 1/4 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 -1/2 (*.f64 n (*.f64 x x))) (/.f64 1/8 (*.f64 n (pow.f64 x 4)))))) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 1/2 n) |
(*.f64 n 1/2) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n x) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(*.f64 n x) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (*.f64 n x) (*.f64 1/2 n)) |
(*.f64 n (+.f64 1/2 x)) |
(+.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) -1) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))))) 1) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (/.f64 1 (*.f64 n (+.f64 x 1/2))) 1) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 1 (/.f64 1 (*.f64 n (+.f64 x 1/2)))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2) (pow.f64 (*.f64 n (+.f64 x 1/2)) -1/2)) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2)))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 1/2 x)))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 1/2 x)) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 1/2 x)) -2)) (cbrt.f64 (*.f64 n (+.f64 1/2 x)))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) -2)) (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 x 1/2))))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n (+.f64 1/2 x)))) (cbrt.f64 (pow.f64 (*.f64 n (+.f64 1/2 x)) -2))) |
(/.f64 (cbrt.f64 (pow.f64 (*.f64 n (+.f64 1/2 x)) -2)) (cbrt.f64 (*.f64 n (+.f64 1/2 x)))) |
(*.f64 (/.f64 1 n) (/.f64 1 (+.f64 x 1/2))) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (/.f64 1 (+.f64 x 1/2)) (/.f64 1 n)) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2) -1) (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) -1)) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) -1) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 2) -1)) |
(/.f64 (/.f64 1 n) (+.f64 1/2 x)) |
(/.f64 1 (*.f64 n (+.f64 1/2 x))) |
(/.f64 (/.f64 1 (+.f64 1/2 x)) n) |
(*.f64 (/.f64 (/.f64 1 n) (fma.f64 x x -1/4)) (+.f64 x -1/2)) |
(/.f64 (/.f64 (+.f64 x -1/2) n) (fma.f64 x x -1/4)) |
(*.f64 (/.f64 (/.f64 1 n) (+.f64 1/8 (pow.f64 x 3))) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
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(/.f64 (*.f64 n (sqrt.f64 (+.f64 1/2 x))) (/.f64 (sqrt.f64 (+.f64 x -1/2)) (sqrt.f64 (fma.f64 x x -1/4)))) |
(*.f64 (/.f64 (*.f64 n (sqrt.f64 (+.f64 1/2 x))) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (fma.f64 x x -1/4))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 1/8 (pow.f64 x 3))) (*.f64 n (sqrt.f64 (+.f64 x 1/2)))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(/.f64 (*.f64 n (sqrt.f64 (+.f64 1/2 x))) (/.f64 (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/8)))) |
(*.f64 (/.f64 (*.f64 n (sqrt.f64 (+.f64 1/2 x))) (sqrt.f64 (fma.f64 x (+.f64 x -1/2) 1/4))) (sqrt.f64 (+.f64 (pow.f64 x 3) 1/8))) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) 1) (+.f64 x -1/2)) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x -1/2) n)) |
(*.f64 (/.f64 n (+.f64 x -1/2)) (fma.f64 x x -1/4)) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) (sqrt.f64 (+.f64 x -1/2))) (sqrt.f64 (+.f64 x -1/2))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x -1/2) n)) |
(*.f64 (/.f64 n (+.f64 x -1/2)) (fma.f64 x x -1/4)) |
(/.f64 (/.f64 (*.f64 n (fma.f64 x x -1/4)) (*.f64 (cbrt.f64 (+.f64 x -1/2)) (cbrt.f64 (+.f64 x -1/2)))) (cbrt.f64 (+.f64 x -1/2))) |
(/.f64 (fma.f64 x x -1/4) (/.f64 (+.f64 x -1/2) n)) |
(*.f64 (/.f64 n (+.f64 x -1/2)) (fma.f64 x x -1/4)) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) 1) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/8) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) n) |
(*.f64 n (/.f64 (+.f64 (pow.f64 x 3) 1/8) (fma.f64 x (+.f64 x -1/2) 1/4))) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) (sqrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/8) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) n) |
(*.f64 n (/.f64 (+.f64 (pow.f64 x 3) 1/8) (fma.f64 x (+.f64 x -1/2) 1/4))) |
(/.f64 (/.f64 (*.f64 n (+.f64 1/8 (pow.f64 x 3))) (*.f64 (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))))) (cbrt.f64 (+.f64 1/4 (*.f64 x (+.f64 x -1/2))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1/8) (+.f64 1/4 (*.f64 x (+.f64 x -1/2)))) n) |
(*.f64 n (/.f64 (+.f64 (pow.f64 x 3) 1/8) (fma.f64 x (+.f64 x -1/2) 1/4))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 n n)) (pow.f64 (*.f64 n x) 2)) (-.f64 (*.f64 n 1/2) (*.f64 n x))) |
(/.f64 (-.f64 (*.f64 (*.f64 1/4 n) n) (pow.f64 (*.f64 n x) 2)) (*.f64 n (-.f64 1/2 x))) |
(/.f64 (-.f64 (*.f64 1/4 (*.f64 n n)) (pow.f64 (*.f64 n x) 2)) (*.f64 n (-.f64 1/2 x))) |
(/.f64 (*.f64 (*.f64 n n) (-.f64 1/4 (*.f64 x x))) (*.f64 n (-.f64 1/2 x))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) 1)) |
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 n (+.f64 1/2 x))))) (*.f64 n (+.f64 1/2 x))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 n (+.f64 1/2 x)))))) |
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 n (+.f64 1/2 x))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 n (+.f64 1/2 x)))))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) 1) |
(*.f64 n (+.f64 1/2 x)) |
(pow.f64 (sqrt.f64 (*.f64 n (+.f64 x 1/2))) 2) |
(*.f64 n (+.f64 1/2 x)) |
(pow.f64 (cbrt.f64 (*.f64 n (+.f64 x 1/2))) 3) |
(*.f64 n (+.f64 1/2 x)) |
(pow.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3) 1/3) |
(*.f64 n (+.f64 1/2 x)) |
(sqrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 2)) |
(sqrt.f64 (pow.f64 (*.f64 n (+.f64 1/2 x)) 2)) |
(fabs.f64 (*.f64 n (+.f64 1/2 x))) |
(log.f64 (pow.f64 (exp.f64 (+.f64 x 1/2)) n)) |
(*.f64 n (+.f64 1/2 x)) |
(log.f64 (+.f64 1 (expm1.f64 (*.f64 n (+.f64 x 1/2))))) |
(*.f64 n (+.f64 1/2 x)) |
(cbrt.f64 (pow.f64 (*.f64 n (+.f64 x 1/2)) 3)) |
(*.f64 n (+.f64 1/2 x)) |
(cbrt.f64 (*.f64 (pow.f64 (+.f64 x 1/2) 3) (pow.f64 n 3))) |
(*.f64 n (+.f64 1/2 x)) |
(expm1.f64 (log1p.f64 (*.f64 n (+.f64 x 1/2)))) |
(*.f64 n (+.f64 1/2 x)) |
(exp.f64 (log.f64 (*.f64 n (+.f64 x 1/2)))) |
(*.f64 n (+.f64 1/2 x)) |
(log1p.f64 (expm1.f64 (*.f64 n (+.f64 x 1/2)))) |
(*.f64 n (+.f64 1/2 x)) |
(fma.f64 n x (*.f64 n 1/2)) |
(*.f64 n (+.f64 1/2 x)) |
(fma.f64 x n (*.f64 n 1/2)) |
(*.f64 n (+.f64 1/2 x)) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.2b | (pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
| ✓ | 0.3b | (/.f64 (neg.f64 n) (log.f64 x)) |
Compiled 21 to 8 computations (61.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | (/.f64 (neg.f64 n) (log.f64 x)) |
| 1.0ms | n | @ | 0 | (/.f64 (neg.f64 n) (log.f64 x)) |
| 1.0ms | x | @ | inf | (/.f64 (neg.f64 n) (log.f64 x)) |
| 1.0ms | x | @ | 0 | (/.f64 (neg.f64 n) (log.f64 x)) |
| 0.0ms | x | @ | -inf | (pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
| 1× | batch-egg-rewrite |
| 1752× | add-sqr-sqrt |
| 1730× | *-un-lft-identity |
| 1612× | add-cube-cbrt |
| 1592× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 1 | 207 | 22 |
| 2 | 2662 | 22 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 n) (log.f64 x)) |
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (log.f64 x)) (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 n (/.f64 1 (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 n (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (sqrt.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) (cbrt.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (log.f64 x)) n)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log.f64 x)) 1)))) (#(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 n (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 n (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 n (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 n (log.f64 x)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 x) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))))) (#(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 (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)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 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 (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) 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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (pow.f64 (/.f64 1 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 x) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 n (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (/.f64 n (log.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (log.f64 x)) (/.f64 n (sqrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 n (cbrt.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (log.f64 x)) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 n) (/.f64 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2)) (cbrt.f64 (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 x) -1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 x) 1) n)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log.f64 x) 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 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 exp.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))))))) |
| 1× | egg-herbie |
| 1160× | associate-/r* |
| 1102× | associate-/l* |
| 1038× | associate-+r- |
| 978× | associate-+l- |
| 650× | unswap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 192 | 1957 |
| 1 | 443 | 1941 |
| 2 | 1737 | 1941 |
| 3 | 6686 | 1941 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(-.f64 0 (/.f64 n (log.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1) |
(-.f64 (/.f64 0 (log.f64 x)) (/.f64 n (log.f64 x))) |
(*.f64 n (/.f64 1 (log.f64 x))) |
(*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) |
(*.f64 (/.f64 n (log.f64 x)) 1) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(*.f64 1 (/.f64 n (log.f64 x))) |
(*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (sqrt.f64 (/.f64 n (log.f64 x)))) |
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (/.f64 1 (log.f64 x)) n) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(pow.f64 (/.f64 n (log.f64 x)) 1) |
(pow.f64 (/.f64 (log.f64 x) n) -1) |
(pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 n (log.f64 x)) 3) 1/3) |
(neg.f64 (/.f64 n (log.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2)) |
(log.f64 (exp.f64 (/.f64 n (log.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (log.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 n (log.f64 x)))) |
(exp.f64 (log.f64 (/.f64 n (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 n (log.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(*.f64 1 (/.f64 (log.f64 x) n)) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(*.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 (sqrt.f64 (log.f64 x)) -1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 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 (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) 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 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (pow.f64 n -1) (pow.f64 (/.f64 1 (log.f64 x)) -1)) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) -1)) |
(/.f64 (log.f64 x) n) |
(/.f64 -1 (/.f64 n (log.f64 x))) |
(/.f64 1 (/.f64 n (log.f64 x))) |
(/.f64 1 (/.f64 (/.f64 n (log.f64 x)) 1)) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 (sqrt.f64 (log.f64 x)) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (/.f64 1 n) (/.f64 1 (log.f64 x))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2)) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 (/.f64 (log.f64 x) -1) n) |
(/.f64 (/.f64 (log.f64 x) 1) n) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)) |
(log.f64 (exp.f64 (/.f64 (log.f64 x) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(/.f64 n (log.f64 (/.f64 1 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 n) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 n) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 n) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 -1 (/.f64 n (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)))) |
(neg.f64 (/.f64 n (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)))) |
(/.f64 (neg.f64 n) (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (log.f64 (/.f64 1 x)) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n) |
(*.f64 -1 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(/.f64 (neg.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) n) |
(-.f64 0 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1) |
(/.f64 n (log.f64 x)) |
(-.f64 (/.f64 0 (log.f64 x)) (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 n (/.f64 1 (log.f64 x))) |
(/.f64 n (log.f64 x)) |
(*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 (/.f64 n (log.f64 x)) 1) |
(/.f64 n (log.f64 x)) |
(*.f64 -1 (/.f64 n (log.f64 x))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 1 (/.f64 n (log.f64 x))) |
(/.f64 n (log.f64 x)) |
(*.f64 (sqrt.f64 (/.f64 n (log.f64 x))) (sqrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (sqrt.f64 n) (*.f64 (sqrt.f64 n) (/.f64 1 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2)) |
(/.f64 n (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 1 (log.f64 x)) n) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 -1 (sqrt.f64 (log.f64 x))) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 (sqrt.f64 n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (sqrt.f64 (log.f64 x))) (/.f64 (cbrt.f64 n) (sqrt.f64 (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(pow.f64 (/.f64 n (log.f64 x)) 1) |
(/.f64 n (log.f64 x)) |
(pow.f64 (/.f64 (log.f64 x) n) -1) |
(/.f64 n (log.f64 x)) |
(pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) 2) |
(/.f64 n (log.f64 x)) |
(pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 3) |
(/.f64 n (log.f64 x)) |
(pow.f64 (pow.f64 (/.f64 n (log.f64 x)) 3) 1/3) |
(/.f64 n (log.f64 x)) |
(neg.f64 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 n) (log.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2)) |
(/.f64 n (log.f64 x)) |
(log.f64 (exp.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 n (log.f64 x))))) |
(/.f64 n (log.f64 x)) |
(cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 3)) |
(/.f64 n (log.f64 x)) |
(expm1.f64 (log1p.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(exp.f64 (log.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 n (log.f64 x))) 1)) |
(/.f64 n (log.f64 x)) |
(log1p.f64 (expm1.f64 (/.f64 n (log.f64 x)))) |
(/.f64 n (log.f64 x)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log.f64 x) n))) 1) |
(/.f64 (log.f64 x) n) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(/.f64 (log.f64 x) n) |
(*.f64 1 (/.f64 (log.f64 x) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (cbrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2))) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) -1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(/.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 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) -1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 n -1) (pow.f64 (/.f64 1 (log.f64 x)) -1)) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 n (log.f64 x))) -1)) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) -1)) |
(/.f64 (log.f64 x) n) |
(/.f64 (log.f64 x) n) |
(/.f64 -1 (/.f64 n (log.f64 x))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 1 (/.f64 n (log.f64 x))) |
(/.f64 (log.f64 x) n) |
(/.f64 1 (/.f64 (/.f64 n (log.f64 x)) 1)) |
(/.f64 (log.f64 x) n) |
(/.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 (sqrt.f64 (log.f64 x)) (/.f64 n (sqrt.f64 (log.f64 x)))) |
(/.f64 (log.f64 x) n) |
(/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 n (cbrt.f64 (log.f64 x)))) |
(/.f64 (log.f64 x) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (/.f64 1 n) (/.f64 1 (log.f64 x))) |
(/.f64 (log.f64 x) n) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 n (log.f64 x))) 2)) (cbrt.f64 (/.f64 n (log.f64 x)))) |
(/.f64 (log.f64 x) n) |
(/.f64 (/.f64 (log.f64 x) -1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(/.f64 (/.f64 (log.f64 x) 1) n) |
(/.f64 (log.f64 x) n) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) n) |
(/.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (log.f64 x) n) |
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) -2)) |
(/.f64 (log.f64 x) n) |
(log.f64 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (log.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(/.f64 (log.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
(exp.f64 (-.f64 (log.f64 (log.f64 x)) (log.f64 n))) |
(/.f64 (log.f64 x) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1)) |
(/.f64 (log.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (log.f64 x) n) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) |
| 0.2b | (/.f64 (log.f64 x) n) | |
| ✓ | 2.5b | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
Compiled 34 to 15 computations (55.9% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 44.0ms | x | @ | 0 | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 4.0ms | x | @ | inf | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1.0ms | x | @ | -inf | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 0.0ms | n | @ | 0 | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 0.0ms | n | @ | inf | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 1846× | associate-/l* |
| 1638× | associate-*r/ |
| 1366× | associate-*l/ |
| 258× | distribute-lft-in |
| 242× | add-sqr-sqrt |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 42 |
| 1 | 241 | 38 |
| 2 | 3203 | 38 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
((#(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 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n)))))) (#(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 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x n))))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 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 (/.f64 1 (*.f64 x n)) (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 x) (/.f64 (pow.f64 x (/.f64 1 n)) n))))) (#(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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n))))) (#(struct:change #<rule egg-rr> (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))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x))) (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 (sqrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.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 (/.f64 x (pow.f64 x (/.f64 1 n))) 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 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.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 (pow.f64 x (/.f64 1 n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1 n)) 1)))) (#(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 (pow.f64 1 (/.f64 (log.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (log.f64 x) 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 exp.f64 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))))))) |
| 1× | egg-herbie |
| 1346× | associate-/r* |
| 636× | unswap-sqr |
| 618× | *-commutative |
| 586× | distribute-lft-neg-in |
| 554× | distribute-rgt-neg-in |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 195 | 3144 |
| 1 | 480 | 3096 |
| 2 | 1969 | 3076 |
| 3 | 6433 | 3076 |
| 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))))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (exp.f64 (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 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(*.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 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.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 (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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) |
(*.f64 (/.f64 1 n) (/.f64 (pow.f64 x (/.f64 1 n)) x)) |
(*.f64 (/.f64 1 (*.f64 x n)) (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 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 1 (*.f64 n (neg.f64 x))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) 1) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 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))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (sqrt.f64 (*.f64 x n))) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (/.f64 1 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x))) (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 n (neg.f64 x)))) |
(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)))) |
(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 (pow.f64 x (/.f64 1 n)))) 1) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(*.f64 (pow.f64 1 (/.f64 (log.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(exp.f64 (/.f64 (log.f64 x) 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 (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 (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 (/.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 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 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 (/.f64 1 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 (log.f64 x) (*.f64 x (*.f64 n n))) (fma.f64 (/.f64 1/2 (pow.f64 n 3)) (/.f64 (pow.f64 (log.f64 x) 2) x) (/.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 (/.f64 1 x) 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 (/.f64 (/.f64 1 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 (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 (log.f64 x) (*.f64 x (*.f64 n n))) (/.f64 (/.f64 1 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 (/.f64 1 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 (log.f64 x) (*.f64 x (*.f64 n n))) (fma.f64 (/.f64 1/2 (pow.f64 n 3)) (/.f64 (pow.f64 (log.f64 x) 2) x) (/.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 (/.f64 1 x) 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 (/.f64 (/.f64 1 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 (log.f64 x) (*.f64 x (*.f64 n n)))))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.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 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1)) |
(+.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 (+.f64 (/.f64 (log.f64 x) n) 1) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1)) |
(+.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 (+.f64 (/.f64 (log.f64 x) n) 1) (fma.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)) (*.f64 (/.f64 1/2 n) (/.f64 (pow.f64 (log.f64 x) 2) n)))) |
(+.f64 (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) 1) (fma.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3) (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(/.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 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 1 (*.f64 x n)))) |
(/.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 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.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 (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 1 (*.f64 x n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 1 n)) |
(/.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 x n)) |
(*.f64 (/.f64 1 (*.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (/.f64 1 (*.f64 n (neg.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (sqrt.f64 (*.f64 x 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))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 1 (*.f64 n (neg.f64 x))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) 1) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x 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 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (*.f64 x n)) (sqrt.f64 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) n) (/.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(/.f64 (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 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))) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) (cbrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) n) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) x)) |
(/.f64 (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 1 (sqrt.f64 (*.f64 x n))) (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n)))) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (sqrt.f64 (*.f64 x n))) (sqrt.f64 (*.f64 x n))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (sqrt.f64 (*.f64 x n)) (sqrt.f64 (*.f64 x n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (pow.f64 (cbrt.f64 (*.f64 x n)) 2)) (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) |
(*.f64 (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 (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (*.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 (/.f64 1 (/.f64 n (/.f64 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) x))) (cbrt.f64 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 1) |
(/.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) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (pow.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) 3) 1/3) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(pow.f64 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) n) -1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(neg.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n (neg.f64 x)))) |
(/.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)) |
(/.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)) |
(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 (pow.f64 x (/.f64 1 n)))) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1 n)) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))) (sqrt.f64 (pow.f64 x (/.f64 1 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)) |
(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)))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 1 (/.f64 (log.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n)) (pow.f64 (sqrt.f64 (E.f64)) (/.f64 (log.f64 x) n))) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (/.f64 (log.f64 x) n))) |
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 (/.f64 (log.f64 x) n) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (E.f64)) (/.f64 (log.f64 x) n))) |
(sqrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 2)) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (exp.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (/.f64 1 n))))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) |
(pow.f64 x (/.f64 1 n)) |
(expm1.f64 (log1p.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) |
(pow.f64 x (/.f64 1 n)) |
Compiled 17872 to 10610 computations (40.6% saved)
42 alts after pruning (36 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1104 | 8 | 1112 |
| Fresh | 4 | 28 | 32 |
| Picked | 0 | 1 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1110 | 42 | 1152 |
| Status | Error | Program |
|---|---|---|
| 38.9b | (pow.f64 (+.f64 (*.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 n (/.f64 x 1/12)))) -1) | |
| 43.0b | (pow.f64 (*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) -1) | |
| 28.0b | (pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) | |
| 39.4b | (pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) | |
| ✓ | 26.1b | (/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 26.1b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 25.6b | (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) | |
| 38.8b | (/.f64 (/.f64 1 x) n) | |
| 17.3b | (/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| 36.1b | (/.f64 (/.f64 1 n) (+.f64 x 1/2)) | |
| ✓ | 38.8b | (/.f64 (/.f64 1 n) x) |
| 39.2b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 22.6b | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) | |
| 43.0b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| 43.5b | (/.f64 (-.f64 1 (pow.f64 x (/.f64 2 n))) (+.f64 1 (pow.f64 x (/.f64 1 n)))) | |
| 34.6b | (/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) | |
| 25.6b | (/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n)) x) | |
| 29.2b | (/.f64 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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)))))) | |
| ✓ | 17.1b | (/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
| 42.9b | (/.f64 (neg.f64 (log.f64 x)) n) | |
| 18.7b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) | |
| 30.0b | (/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) n) | |
| 37.0b | (/.f64 (log.f64 1) n) | |
| ✓ | 26.1b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 44.7b | (/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) | |
| 58.6b | (/.f64 2 n) | |
| 17.4b | (/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ✓ | 39.3b | (/.f64 1 (*.f64 x n)) |
| 43.0b | (/.f64 -1 (/.f64 n (log.f64 x))) | |
| 43.1b | (-.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)) | |
| 39.7b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 49.9b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 43.4b | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| 43.1b | (-.f64 (*.f64 -1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) n)) | |
| 31.2b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) | |
| ✓ | 43.5b | (-.f64 1 (pow.f64 x (/.f64 1 n))) |
| 34.3b | (*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)) | |
| 34.6b | (*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) | |
| 38.8b | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| 43.0b | (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) | |
| 53.3b | (exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) | |
| 30.0b | (cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
Compiled 543 to 388 computations (28.5% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) 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 x (+.f64 x 1)))) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n)) x) |
(pow.f64 (+.f64 (*.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 n (/.f64 x 1/12)))) -1) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(pow.f64 (*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) -1) |
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.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 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 x n)) |
(/.f64 (pow.f64 (exp.f64 1) (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(pow.f64 (*.f64 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) n) -1) |
(/.f64 (log.f64 (pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)) 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 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))) (/.f64 (log.f64 x) 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 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(+.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 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) 3) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(/.f64 (neg.f64 (/.f64 (*.f64 3 (-.f64 (log1p.f64 x) (log.f64 x))) 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 (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 (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)) |
(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 (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 (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 (neg.f64 (+.f64 (+.f64 (/.f64 3 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 9/2 (-.f64 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n))))) (/.f64 (*.f64 9/2 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))) (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)))))) |
| Outputs |
|---|
(/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 x n)) |
(/.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:
| 132.0ms | n |
| 111.0ms | (/.f64 1 n) |
| 93.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 6.0b | 2 | x |
| 1.5b | 3 | n |
| 12.2b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.2b | 3 | (/.f64 1 n) |
Compiled 1024 to 547 computations (46.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -5.855439252938698e-14 | -3.558919136594628e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) 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 x (+.f64 x 1)))) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n)) x) |
(pow.f64 (+.f64 (*.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 n (/.f64 x 1/12)))) -1) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(pow.f64 (*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) -1) |
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.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 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.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:
| 82.0ms | x |
| 61.0ms | (/.f64 1 n) |
| 59.0ms | n |
| 24.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 6.0b | 2 | x |
| 1.5b | 3 | n |
| 12.2b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.2b | 3 | (/.f64 1 n) |
Compiled 480 to 275 computations (42.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -5.855439252938698e-14 | -3.558919136594628e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) 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 x (+.f64 x 1)))) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 n)) x) |
(pow.f64 (+.f64 (*.f64 n (+.f64 x 1/2)) (neg.f64 (/.f64 n (/.f64 x 1/12)))) -1) |
(/.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/2 (*.f64 x x))) n) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (neg.f64 n) (log.f64 x)) -1) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(pow.f64 (*.f64 n (/.f64 1 (neg.f64 (log.f64 x)))) -1) |
(/.f64 (/.f64 1 n) (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.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 1 (pow.f64 x (/.f64 1 n)))) |
(/.f64 (exp.f64 (log.f64 (neg.f64 (log.f64 x)))) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(exp.f64 (-.f64 (/.f64 (log.f64 x) n) (log.f64 (*.f64 x n)))) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 93.0ms | n |
| 72.0ms | (/.f64 1 n) |
| 40.0ms | x |
| 8.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 6.0b | 2 | x |
| 1.7b | 3 | n |
| 12.3b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.3b | 3 | (/.f64 1 n) |
Compiled 469 to 270 computations (42.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -5.855439252938698e-14 | -3.558919136594628e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) 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 x (+.f64 x 1)))) |
(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 1 (*.f64 x n))) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 46.0ms | n |
| 33.0ms | (/.f64 1 n) |
| 23.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.0b | 2 | x |
| 1.4b | 4 | n |
| 1.4b | 3 | (/.f64 1 n) |
Compiled 221 to 136 computations (38.5% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -5.855439252938698e-14 | -3.558919136594628e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) n) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) |
| 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:
| 55.0ms | n |
| 34.0ms | (/.f64 1 n) |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 6.0b | 2 | x |
| 1.4b | 4 | n |
| 1.4b | 3 | (/.f64 1 n) |
Compiled 191 to 119 computations (37.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -5.855439252938698e-14 | -3.558919136594628e-14 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(/.f64 (neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) 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:
| 124.0ms | n |
| 67.0ms | (/.f64 1 n) |
| 38.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 2 | x |
| 1.9b | 4 | n |
| 1.9b | 3 | (/.f64 1 n) |
Compiled 182 to 114 computations (37.4% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -25879434.334508423 | -1.212922534267882 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 56.0ms | (/.f64 1 n) |
| 46.0ms | n |
| 28.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 13.9b | 3 | x |
| 9.9b | 5 | n |
| 8.6b | 6 | (/.f64 1 n) |
Compiled 165 to 102 computations (38.2% saved)
| 5× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.6356611333085643 | 167264045.43965566 |
| 0.0ms | -1.9435169750702784e-153 | -1.7296096637751843e-167 |
| 0.0ms | -6.237828520549379e-103 | -1.784958625322957e-104 |
| 0.0ms | -6.382662540768709e-34 | -3.2380204233618674e-35 |
| 0.0ms | -25879434.334508423 | -1.212922534267882 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(pow.f64 (*.f64 n (+.f64 x 1/2)) -1) |
| Outputs |
|---|
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
3 calls:
| 91.0ms | n |
| 82.0ms | (/.f64 1 n) |
| 30.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 3 | x |
| 15.3b | 10 | n |
| 15.3b | 9 | (/.f64 1 n) |
Compiled 157 to 97 computations (38.2% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 54.0ms | 4.683459576867088e+199 | 1.3700786210344262e+200 |
| 39.0ms | 0.21746910592172025 | 2.2565389082986136 |
| 47.0ms | 55× | body | 2048 | valid |
| 25.0ms | 66× | body | 1024 | valid |
| 6.0ms | 26× | body | 256 | infinite |
| 5.0ms | 22× | body | 512 | valid |
| 5.0ms | 33× | body | 256 | valid |
| 2.0ms | 9× | body | 256 | unsamplable |
Compiled 264 to 199 computations (24.6% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 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 -1 (/.f64 n (log.f64 x))) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
3 calls:
| 78.0ms | n |
| 66.0ms | (/.f64 1 n) |
| 22.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.2b | 3 | x |
| 20.0b | 9 | n |
| 20.0b | 8 | (/.f64 1 n) |
Compiled 130 to 82 computations (36.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 44.0ms | 4.683459576867088e+199 | 1.3700786210344262e+200 |
| 38.0ms | 0.21746910592172025 | 2.2565389082986136 |
| 29.0ms | 42× | body | 2048 | valid |
| 26.0ms | 68× | body | 1024 | valid |
| 10.0ms | 41× | body | 256 | infinite |
| 7.0ms | 42× | body | 256 | valid |
| 6.0ms | 24× | body | 512 | valid |
| 2.0ms | 11× | body | 256 | unsamplable |
Compiled 258 to 199 computations (22.9% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(/.f64 (log.f64 1) n) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
3 calls:
| 22.0ms | n |
| 17.0ms | (/.f64 1 n) |
| 15.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.3b | 2 | x |
| 24.1b | 3 | n |
| 24.1b | 2 | (/.f64 1 n) |
Compiled 119 to 76 computations (36.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -25879434.334508423 | -1.212922534267882 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)) |
(*.f64 (/.f64 (/.f64 1 n) (-.f64 1/4 (*.f64 x x))) (-.f64 1/2 x)) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
3 calls:
| 19.0ms | n |
| 15.0ms | (/.f64 1 n) |
| 13.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 31.3b | 2 | x |
| 28.9b | 3 | n |
| 28.9b | 2 | (/.f64 1 n) |
Compiled 115 to 73 computations (36.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 48.0ms | 7.148758732260134e+26 | 1.303793013762521e+33 |
| 38.0ms | -114630941311.28592 | -766846520.8871695 |
| 35.0ms | 78× | body | 1024 | valid |
| 23.0ms | 123× | body | 256 | valid |
| 12.0ms | 17× | body | 2048 | valid |
| 10.0ms | 38× | body | 512 | valid |
Compiled 404 to 303 computations (25% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
3 calls:
| 16.0ms | n |
| 13.0ms | x |
| 9.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 32.5b | 2 | x |
| 30.4b | 3 | n |
| 30.4b | 2 | (/.f64 1 n) |
Compiled 54 to 37 computations (31.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -25879434.334508423 | -1.212922534267882 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 2 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 n) (+.f64 x 1/2)) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
3 calls:
| 6.0ms | n |
| 4.0ms | (/.f64 1 n) |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 36.1b | 1 | x |
| 36.1b | 1 | n |
| 36.1b | 1 | (/.f64 1 n) |
Compiled 45 to 31 computations (31.1% saved)
| Inputs |
|---|
(/.f64 2 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 2 n) |
(/.f64 (/.f64 1 x) n) |
3 calls:
| 8.0ms | x |
| 5.0ms | (/.f64 1 n) |
| 4.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 36.8b | 2 | x |
| 38.8b | 1 | n |
| 38.8b | 1 | (/.f64 1 n) |
Compiled 38 to 26 computations (31.6% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 0.21746910592172025 | 2.2565389082986136 |
| 18.0ms | 48× | body | 1024 | valid |
| 6.0ms | 32× | body | 256 | infinite |
| 6.0ms | 9× | body | 2048 | valid |
| 5.0ms | 21× | body | 512 | valid |
| 3.0ms | 18× | body | 256 | valid |
Compiled 104 to 81 computations (22.1% saved)
| Inputs |
|---|
(/.f64 2 n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
| Outputs |
|---|
(/.f64 2 n) |
(/.f64 (/.f64 1 n) x) |
3 calls:
| 6.0ms | x |
| 4.0ms | n |
| 3.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 36.8b | 2 | x |
| 38.8b | 1 | n |
| 38.8b | 1 | (/.f64 1 n) |
Compiled 26 to 18 computations (30.8% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 34.0ms | 0.21746910592172025 | 2.2565389082986136 |
| 17.0ms | 46× | body | 1024 | valid |
| 5.0ms | 22× | body | 512 | valid |
| 5.0ms | 28× | body | 256 | infinite |
| 4.0ms | 24× | body | 256 | valid |
| 2.0ms | 4× | body | 2048 | valid |
Compiled 104 to 81 computations (22.1% saved)
Total -23.3b remaining (-62.6%)
Threshold costs -23.3b (-62.6%)
| Inputs |
|---|
(/.f64 2 n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 2 n) |
(/.f64 1 (*.f64 x n)) |
2 calls:
| 5.0ms | x |
| 3.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 37.3b | 2 | x |
| 39.3b | 1 | n |
Compiled 16 to 11 computations (31.3% saved)
| 1× | binary-search |
| Time | Left | Right |
|---|---|---|
| 36.0ms | 0.21746910592172025 | 2.2565389082986136 |
| 18.0ms | 48× | body | 1024 | valid |
| 5.0ms | 22× | body | 512 | valid |
| 4.0ms | 24× | body | 256 | infinite |
| 3.0ms | 22× | body | 256 | valid |
| 2.0ms | 4× | body | 2048 | valid |
Compiled 104 to 81 computations (22.1% saved)
| 1× | egg-herbie |
| 36× | +-commutative |
| 22× | sub-neg |
| 18× | *-commutative |
| 10× | neg-mul-1 |
| 10× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 109 | 1229 |
| 1 | 142 | 1229 |
| 2 | 161 | 1229 |
| 3 | 170 | 1229 |
| 4 | 174 | 1229 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -1461501637330903/2923003274661805836407369665432566039311865085952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(if (<=.f64 x 1170935903116329/2251799813685248) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 65999999999999996642672804414760096879971407405711873384081174246027196576888696059536470103324384820642152395555791077043526099892021200574751022700247786506504424461617767019171943443463664323002368) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)))) |
(if (<=.f64 x 607985949695017/2251799813685248) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 125999999999999998225943291192691228061806125868812505882422178269239614114663625862637056255602489472098674342607548802844516252490594789576489808305918045450046443207850808546401164773680543438995456) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(if (<=.f64 n -780000000) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n 720000000000000048049946624) (/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) (/.f64 (/.f64 1 n) (+.f64 x 1/2)))) |
(if (<=.f64 (/.f64 1 n) -20000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 (/.f64 1 x) n)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 (/.f64 1 n) x)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 1 (*.f64 x n))) |
(/.f64 2 n) |
| Outputs |
|---|
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (log1p.f64 (expm1.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.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) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -3961408125713217/79228162514264337593543950336) (/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) -1461501637330903/2923003274661805836407369665432566039311865085952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (if (<=.f64 (/.f64 1 n) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) -1461501637330903/2923003274661805836407369665432566039311865085952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) -5043456793138493/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (if (<=.f64 (/.f64 1 n) -7547924849643083/7547924849643082704483109161976537781833842440832880856752412600491248324784297704172253450355317535082936750061527689799541169259849585265122868502865392087298790653952) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 (/.f64 1 n) 1) (/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n)))))))) |
(if (<=.f64 x 1170935903116329/2251799813685248) (/.f64 (-.f64 x (log.f64 x)) n) (if (<=.f64 x 65999999999999996642672804414760096879971407405711873384081174246027196576888696059536470103324384820642152395555791077043526099892021200574751022700247786506504424461617767019171943443463664323002368) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)))) |
(if (<=.f64 x 607985949695017/2251799813685248) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 125999999999999998225943291192691228061806125868812505882422178269239614114663625862637056255602489472098674342607548802844516252490594789576489808305918045450046443207850808546401164773680543438995456) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (*.f64 (/.f64 1 (*.f64 n (-.f64 1/4 (*.f64 x x)))) (-.f64 1/2 x)))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(if (<=.f64 (/.f64 1 n) -20000000) (/.f64 0 n) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(if (<=.f64 n -780000000) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (if (<=.f64 n 720000000000000048049946624) (/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x)))) (/.f64 (/.f64 1 n) (+.f64 x 1/2)))) |
(if (or (<=.f64 n -780000000) (not (<=.f64 n 720000000000000048049946624))) (/.f64 (/.f64 1 n) (+.f64 x 1/2)) (/.f64 (-.f64 1/2 x) (*.f64 n (-.f64 1/4 (*.f64 x x))))) |
(if (<=.f64 (/.f64 1 n) -20000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(if (<=.f64 (/.f64 1 n) -20000000) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 n) (+.f64 x 1/2))) |
(/.f64 (/.f64 1 n) (+.f64 x 1/2)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 (/.f64 1 x) n)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 (/.f64 1 n) x)) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 1 (*.f64 x n))) |
(if (<=.f64 x 1/2) (/.f64 2 n) (/.f64 1 (*.f64 n x))) |
(/.f64 2 n) |
Compiled 494 to 360 computations (27.1% saved)
| 4× | egg-herbie |
| 1564× | associate-/r* |
| 1076× | associate-+l- |
| 1076× | associate-+l- |
| 1076× | associate-+l- |
| 1038× | associate--r+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 15302 |
| 1 | 1365 | 14436 |
| 2 | 5892 | 14428 |
| 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 |
Compiled 245 to 157 computations (35.9% saved)
Compiled 462 to 317 computations (31.4% saved)
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