Time bar (total: 19.5s)
| 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)
| 2.6s | 2753× | body | 1024 | valid |
| 2.3s | 1824× | body | 2048 | valid |
| 1.4s | 1420× | body | 1024 | invalid |
| 963.0ms | 1259× | body | 512 | valid |
| 702.0ms | 2420× | body | 256 | valid |
| 534.0ms | 205× | body | 1024 | infinite |
| 325.0ms | 736× | body | 512 | invalid |
| 174.0ms | 1343× | body | 256 | invalid |
| 162.0ms | 742× | body | 256 | infinite |
| 104.0ms | 224× | body | 512 | infinite |
| 93.0ms | 364× | body | 256 | unsamplable |
| 4.0ms | 4× | 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 |
|---|---|---|
| ▶ | 33.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 15 to 11 computations (26.7% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (pow.f64 x (/.f64 1 n)) |
| ✓ | 3.9b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
Compiled 36 to 24 computations (33.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 21.0ms | x | @ | 0 | (pow.f64 x (/.f64 1 n)) |
| 15.0ms | x | @ | -inf | (pow.f64 x (/.f64 1 n)) |
| 6.0ms | x | @ | inf | (pow.f64 x (/.f64 1 n)) |
| 1.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1040× | associate-*r/ |
| 990× | *-commutative |
| 686× | associate-*l/ |
| 494× | distribute-lft-in |
| 486× | distribute-rgt-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 1 | 227 | 46 |
| 2 | 3106 | 46 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 x (/.f64 1 n)) |
| Outputs |
|---|
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(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x (/.f64 2 n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x (/.f64 3 n)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))))))) |
| 1× | egg-herbie |
| 940× | associate--r+ |
| 888× | associate-+l- |
| 780× | associate-+r- |
| 684× | associate--l+ |
| 576× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 13248 |
| 1 | 1288 | 12594 |
| 2 | 5562 | 12586 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3))))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 (log.f64 (+.f64 1 x)) 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n))))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/24 (/.f64 (pow.f64 (log.f64 x) 4) (pow.f64 n 4))))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))) (*.f64 1/6 (/.f64 (pow.f64 (log.f64 x) 3) (pow.f64 n 3)))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (pow.f64 n -1))))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 1 (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (pow.f64 n -1)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (pow.f64 n -1)))) |
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (neg.f64 (pow.f64 x (pow.f64 n -1))) 3)) 1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 (neg.f64 (neg.f64 (pow.f64 x (/.f64 2 n)))) (neg.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1) |
(*.f64 1 (pow.f64 x (pow.f64 n -1))) |
(*.f64 (pow.f64 x (pow.f64 n -1)) 1) |
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1))) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) |
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1))) |
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
(sqrt.f64 (pow.f64 x (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1)))) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1))))) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (+.f64 1 (/.f64 x n)) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (-.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (fma.f64 (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))))))) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n))))))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(+.f64 (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (*.f64 x x) (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)))) (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (/.f64 (pow.f64 x 3) (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n))))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) (*.f64 x n)) (/.f64 (-.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (/.f64 11/24 (*.f64 n n))) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n))) (/.f64 (pow.f64 x 4) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))))))) |
(+.f64 (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (pow.f64 x 3)) (+.f64 (/.f64 1/3 n) (+.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 -1/2 (*.f64 n n)))))) (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(/.f64 (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) (*.f64 x n)) |
(/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) |
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(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
1 |
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1 |
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) |
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(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 2) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))) 3) |
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(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3) 1/3) |
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(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (*.f64 x x)) (pow.f64 n -1)) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n)))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 2)) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(fabs.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1)))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))) 3)) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (pow.f64 n -1))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (pow.f64 (+.f64 1 x) (/.f64 1/2 n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (pow.f64 (+.f64 1 x) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (pow.f64 n -1)))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (*.f64 (cbrt.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 x (/.f64 1 n))) |
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 1 (pow.f64 x (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (pow.f64 n -1)) 1) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (pow.f64 n -1)) (pow.f64 1 (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1/2 n))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (cbrt.f64 (pow.f64 x (pow.f64 n -1))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 2 n))) (cbrt.f64 (pow.f64 x (pow.f64 n -1)))) |
(*.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (cbrt.f64 (pow.f64 x (/.f64 2 n)))) |
(*.f64 (pow.f64 1 (pow.f64 n -1)) (pow.f64 x (pow.f64 n -1))) |
(pow.f64 x (/.f64 1 n)) |
(*.f64 (pow.f64 (sqrt.f64 x) (pow.f64 n -1)) (pow.f64 (sqrt.f64 x) (pow.f64 n -1))) |
(pow.f64 (sqrt.f64 x) (*.f64 2 (/.f64 1 n))) |
(pow.f64 (sqrt.f64 x) (/.f64 2 n)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1)) (pow.f64 (cbrt.f64 x) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(*.f64 (pow.f64 (cbrt.f64 x) (pow.f64 n -1)) (pow.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 n -1))) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 1 n)) (pow.f64 (cbrt.f64 x) (/.f64 1 n))) |
(sqrt.f64 (pow.f64 x (/.f64 2 n))) |
(log.f64 (exp.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 x (pow.f64 n -1))))) |
(pow.f64 x (/.f64 1 n)) |
(cbrt.f64 (pow.f64 x (/.f64 3 n))) |
(expm1.f64 (log1p.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (log.f64 x) n)) |
(log1p.f64 (expm1.f64 (pow.f64 x (pow.f64 n -1)))) |
(pow.f64 x (/.f64 1 n)) |
Compiled 9980 to 6274 computations (37.1% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 249 | 12 | 261 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 250 | 12 | 262 |
| Status | Error | Program |
|---|---|---|
| 24.2b | (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))))) | |
| 43.6b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) | |
| ▶ | 19.4b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ▶ | 28.2b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
| 33.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) | |
| ▶ | 50.1b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 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)))) | |
| 49.3b | (-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) | |
| ▶ | 33.1b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 43.3b | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) | |
| ▶ | 34.1b | (+.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))) |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
Compiled 572 to 386 computations (32.5% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| ✓ | 5.0b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 20 to 6 computations (70% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | n | @ | 0 | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 9.0ms | n | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1270× | associate-*r/ |
| 1216× | associate-/r* |
| 1086× | associate-/l* |
| 958× | *-commutative |
| 904× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 36 |
| 1 | 192 | 36 |
| 2 | 2703 | 36 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (log1p.f64 x) (log.f64 x)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log1p.f64 x) (+.f64 (neg.f64 (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) 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| 1× | egg-herbie |
| 1348× | associate-+r+ |
| 1086× | +-commutative |
| 672× | associate-/l* |
| 668× | associate-*r* |
| 598× | fma-def |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 449 | 9154 |
| 1 | 1298 | 8822 |
| 2 | 6780 | 8798 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.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)) |
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(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 1) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x)))) 1) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (neg.f64 (log.f64 x)) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (*.f64 (neg.f64 (log.f64 x)) (neg.f64 (log.f64 x))) (*.f64 (log1p.f64 x) (neg.f64 (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 (log1p.f64 x) (log.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (log1p.f64 x) 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log1p.f64 x) 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) 1) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(log.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (+.f64 1 (-.f64 (/.f64 (+.f64 x 1) x) 1))) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(fma.f64 1 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (cbrt.f64 (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 (log1p.f64 x) n)) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 (log1p.f64 x) n)) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (pow.f64 (log1p.f64 x) 2) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.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)))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) n) (/.f64 (+.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))) n))) |
(*.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x)))) (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x))))))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) 3))) (+.f64 (*.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log1p.f64 x) 2)) (-.f64 (*.f64 (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(*.f64 (+.f64 (pow.f64 (log1p.f64 x) 4) (*.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)))) (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (+.f64 (pow.f64 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3)) n))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (/.f64 (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6)) (fma.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (-.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) (pow.f64 (log1p.f64 x) 2)) (pow.f64 (log1p.f64 x) 4)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(fabs.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 2.5b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
Compiled 27 to 19 computations (29.6% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | 0 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | x | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | x | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | n | @ | inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 0.0ms | n | @ | -inf | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| 1× | batch-egg-rewrite |
| 954× | associate-*r/ |
| 820× | *-commutative |
| 680× | unswap-sqr |
| 648× | associate-*l/ |
| 478× | swap-sqr |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 25 |
| 1 | 202 | 15 |
| 2 | 2695 | 15 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
| Outputs |
|---|
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3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (/.f64 (log1p.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1))))) |
| 1× | egg-herbie |
| 1650× | associate-/l* |
| 1466× | associate-/r* |
| 914× | associate-*r/ |
| 880× | *-commutative |
| 614× | +-commutative |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 319 | 7381 |
| 1 | 889 | 7023 |
| 2 | 3215 | 7003 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)) (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (pow.f64 x 4))))) |
(-.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) 1) |
(-.f64 (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))))) 1) |
(-.f64 (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))))) 1) |
(-.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) 1) |
(-.f64 (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) 1) |
(-.f64 (+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n))) |
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (+.f64 (*.f64 1/24 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 3) (pow.f64 n 3))) (/.f64 (log.f64 (+.f64 1 x)) n)))) |
(+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(+.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1)) |
(*.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) 1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)))) |
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) |
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (-.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (expm1.f64 (/.f64 (log1p.f64 x) n))) 1)) |
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) (pow.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) 3))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (-.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (*.f64 (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)))) |
(*.f64 (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3/2)) |
(*.f64 (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6) (pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/6)) |
(/.f64 1 (/.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1)))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (/.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (*.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (-.f64 1 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) -1))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) 1) 1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (+.f64 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) 1) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
| Outputs |
|---|
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n)) |
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) |
(fma.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x)))) |
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (+.f64 (/.f64 1/3 n) (/.f64 -1/2 (*.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))) |
(fma.f64 (+.f64 (/.f64 1/6 (pow.f64 n 3)) (-.f64 (/.f64 1/3 n) (/.f64 1/2 (*.f64 n n)))) (pow.f64 x 3) (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) (/.f64 x n))) |
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(expm1.f64 (/.f64 (neg.f64 (neg.f64 (log.f64 x))) n)) |
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(expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
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(-.f64 (+.f64 (expm1.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (+.f64 (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x n)) (*.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (/.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (*.f64 x x))))) (*.f64 (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (-.f64 (/.f64 -1/3 n) (/.f64 1/6 (pow.f64 n 3)))) (pow.f64 x 3)))) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 (exp.f64 (/.f64 (log.f64 (+.f64 1 x)) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
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(fma.f64 1/2 (/.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 n n)) (/.f64 (log1p.f64 x) n)) |
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(/.f64 (log.f64 (+.f64 1 x)) n) |
(/.f64 (log1p.f64 x) n) |
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1)) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2)) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (/.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) (/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) -1) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) 1) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (+.f64 (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3) -1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3)) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) 1)))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) 3)) (*.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))) (fma.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) |
(/.f64 (+.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n))) -1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 6 n))) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 6 n))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) 1) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (+.f64 (*.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3) -1) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (+.f64 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 3 n))) 1) (pow.f64 (+.f64 x 1) (/.f64 3 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 6 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n)))) (+.f64 1 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)) (pow.f64 (+.f64 x 1) (/.f64 6 n)))))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) 1) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) (sqrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (*.f64 (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))))) (cbrt.f64 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (/.f64 1 (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (+.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) 1) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) (sqrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) (cbrt.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(*.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (/.f64 1 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))))) |
(pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 2) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) 3) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3) 1/3) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n)) -1) (+.f64 -1 (neg.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(neg.f64 (/.f64 (+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (neg.f64 (+.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n))))))) |
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (+.f64 x 1) (/.f64 3 n)))) (+.f64 -1 (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (+.f64 x 1) (/.f64 2 n)))))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (+.f64 x 1) (/.f64 2 n)))) |
(/.f64 (-.f64 1 (pow.f64 (+.f64 x 1) (/.f64 3 n))) (-.f64 (-.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))) |
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(fabs.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(log.f64 (exp.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)) 3)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(exp.f64 (log.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(log1p.f64 (expm1.f64 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) -1) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(fma.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1) |
(*.f64 (+.f64 1 (pow.f64 (+.f64 x 1) (/.f64 1/2 n))) (+.f64 (pow.f64 (+.f64 x 1) (/.f64 1/2 n)) -1)) |
(+.f64 -1 (pow.f64 (+.f64 x 1) (*.f64 2 (/.f64 1/2 n)))) |
(+.f64 -1 (pow.f64 (+.f64 x 1) (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 x 1) (/.f64 2 n))) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) -1) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (/.f64 (log.f64 x) n)) |
| ✓ | 0.3b | (/.f64 (log.f64 x) n) |
| ✓ | 2.7b | (/.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 | |
|---|---|---|---|---|
| 4.0ms | 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 |
|---|
((#(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 (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 1 (/.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 x n)))))) (#(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 (pow.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) 2) (/.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n))) (*.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 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| 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)) |
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1 |
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(*.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)))) |
(+.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 (log.f64 (/.f64 1 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n) |
(/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n) |
(/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) |
(exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n))) |
(pow.f64 x (/.f64 1 n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
(exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n)) |
(exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n)) |
1 |
(+.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 (/.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 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) 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 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6))) (+.f64 (/.f64 (log.f64 x) n) 1)) |
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 (pow.f64 (log.f64 x) 2)) (*.f64 n n)))) |
(+.f64 (/.f64 (log.f64 x) n) (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) 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 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 1 (fma.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2) (*.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(+.f64 (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 1/2 (*.f64 (/.f64 (log.f64 x) n) 1/6))) (+.f64 (/.f64 (log.f64 x) n) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)))) 1) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) 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 (exp.f64 (/.f64 (log.f64 x) 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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(*.f64 1 (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) 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 x n))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.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 (exp.f64 (/.f64 (log.f64 x) 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 x n))) |
(/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.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))) (/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
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(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (neg.f64 (log.f64 x)) (/.f64 1 (neg.f64 n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (sqrt.f64 (log.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) n) (/.f64 (sqrt.f64 (log.f64 x)) 1)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) n) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 2 (log.f64 (sqrt.f64 (pow.f64 x (/.f64 1 n))))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (neg.f64 n)) (neg.f64 (log.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) 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 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (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 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (log.f64 x) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) n) (cbrt.f64 (log.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2))) (cbrt.f64 (log.f64 x))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (log.f64 x) (neg.f64 n))) |
(neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)) |
(/.f64 (log.f64 x) n) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(fabs.f64 (/.f64 (log.f64 x) n)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(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 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 0.1b | (/.f64 (log1p.f64 x) n) |
| ✓ | 3.9b | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
Compiled 35 to 15 computations (57.1% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1390× | associate-*r/ |
| 1066× | associate-*l/ |
| 868× | associate-/r* |
| 686× | associate-/l* |
| 526× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 44 |
| 1 | 252 | 44 |
| 2 | 3287 | 44 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 x) n) |
| Outputs |
|---|
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cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))))))) |
| 1× | egg-herbie |
| 1248× | associate-+l- |
| 1020× | associate-+r- |
| 766× | fma-def |
| 556× | associate-/l* |
| 540× | +-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 589 | 15129 |
| 1 | 1675 | 14161 |
| 2 | 7031 | 14161 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2)))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)))) |
(+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2))))) (pow.f64 x 3)) (+.f64 (/.f64 (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n))) (*.f64 n x)) (/.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n)))) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) (pow.f64 x 4))))) |
(/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)) |
(+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x)))) |
(+.f64 (*.f64 -1 (/.f64 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3))))) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) (pow.f64 x 3))) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n)))) (pow.f64 x 2)) (+.f64 (/.f64 (*.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (-.f64 (+.f64 (*.f64 1/24 (/.f64 1 (pow.f64 n 4))) (*.f64 11/24 (/.f64 1 (pow.f64 n 2)))) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 n 3))) (*.f64 1/4 (/.f64 1 n))))) (pow.f64 x 4)) (/.f64 (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n)) (*.f64 n x))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 1 x)) 2) (pow.f64 n 2))) (/.f64 (log.f64 (+.f64 1 x)) n)) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(fma.f64 1 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2) (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) 0) |
(+.f64 0 (/.f64 (log1p.f64 x) n)) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)) |
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n)))) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) 1) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 x) n)))) 1) |
(*.f64 (log1p.f64 x) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 x) n) 1) |
(*.f64 1 (/.f64 (log1p.f64 x) n)) |
(*.f64 (/.f64 1 n) (log1p.f64 x)) |
(*.f64 (sqrt.f64 (log1p.f64 x)) (/.f64 (sqrt.f64 (log1p.f64 x)) n)) |
(*.f64 (pow.f64 n -1/2) (/.f64 (log1p.f64 x) (sqrt.f64 n))) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (*.f64 (cbrt.f64 (log1p.f64 x)) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (pow.f64 n -2)) (/.f64 (log1p.f64 x) (cbrt.f64 n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (log1p.f64 x) n))))) |
(*.f64 (neg.f64 (log1p.f64 x)) (/.f64 -1 n)) |
(*.f64 (*.f64 (log1p.f64 x) (cbrt.f64 (pow.f64 n -2))) (/.f64 1 (cbrt.f64 n))) |
(*.f64 (/.f64 -1 n) (neg.f64 (log1p.f64 x))) |
(*.f64 (/.f64 (log1p.f64 x) 1) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 x) (sqrt.f64 n)) (pow.f64 n -1/2)) |
(*.f64 (/.f64 (log1p.f64 x) (pow.f64 (cbrt.f64 n) 2)) (/.f64 1 (cbrt.f64 n))) |
(*.f64 (/.f64 (log1p.f64 x) (neg.f64 n)) -1) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) 1) (/.f64 (sqrt.f64 (log1p.f64 x)) n)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) n) (sqrt.f64 (log1p.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 x)) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 x) n))) |
(*.f64 (/.f64 (/.f64 (log1p.f64 x) 1) 1) (/.f64 1 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x))) |
(pow.f64 (/.f64 (log1p.f64 x) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3) |
(pow.f64 (/.f64 n (log1p.f64 x)) -1) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3)) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3)))) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
| 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 (fma.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) (*.f64 x x) 1) (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/3 (/.f64 1 n)) (*.f64 1/6 (/.f64 1 (pow.f64 n 3)))) (*.f64 1/2 (/.f64 1 (pow.f64 n 2)))) (pow.f64 x 3)) (+.f64 (/.f64 x n) (+.f64 1 (*.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) (pow.f64 x 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (fma.f64 (+.f64 (/.f64 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 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) (+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(+.f64 (/.f64 (*.f64 (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 1/24 (pow.f64 n 4)) (-.f64 (/.f64 11/24 (*.f64 n n)) (+.f64 (/.f64 1/4 (pow.f64 n 3)) (/.f64 1/4 n)))) (/.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 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (+.f64 (*.f64 (/.f64 (+.f64 (/.f64 1/24 (pow.f64 n 4)) (-.f64 (-.f64 (/.f64 (/.f64 11/24 n) n) (/.f64 1/4 n)) (/.f64 1/4 (pow.f64 n 3)))) (pow.f64 x 4)) (exp.f64 (/.f64 (log.f64 x) n))) (/.f64 (+.f64 (/.f64 1/3 n) (-.f64 (/.f64 1/6 (pow.f64 n 3)) (/.f64 1/2 (*.f64 n n)))) (/.f64 (pow.f64 x 3) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(/.f64 (exp.f64 (/.f64 (+.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)))) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) 1) (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 (log1p.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (/.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (cbrt.f64 (+.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 (/.f64 1 n)))) 2))) |
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(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (pow.f64 x (*.f64 2 (/.f64 2 n)))) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (pow.f64 x (/.f64 4 n))) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 2 n)))))) |
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(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 4) (fma.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2) (pow.f64 x (/.f64 4 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.f64 (+.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)))) (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 2)) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 6) (pow.f64 x (/.f64 6 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (+.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (exp.f64 (/.f64 (log.f64 x) n)))))) (+.f64 (pow.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) 3) (pow.f64 x (/.f64 3 n)))) |
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(*.f64 (/.f64 (/.f64 (log1p.f64 x) 1) 1) (/.f64 1 n)) |
(/.f64 (log1p.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 x)) 2) n) (cbrt.f64 (log1p.f64 x))) |
(/.f64 (log1p.f64 x) n) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (log1p.f64 x)) 2))) (cbrt.f64 (log1p.f64 x))) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (/.f64 (log1p.f64 x) n) 1) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) 2) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 3) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 1/3) |
(/.f64 (log1p.f64 x) n) |
(pow.f64 (/.f64 n (log1p.f64 x)) -1) |
(/.f64 (log1p.f64 x) n) |
(neg.f64 (/.f64 (log1p.f64 x) (neg.f64 n))) |
(/.f64 (log1p.f64 x) n) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2)) |
(fabs.f64 (/.f64 (log1p.f64 x) n)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 x) n)))) |
(/.f64 (log1p.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3)) |
(/.f64 (log1p.f64 x) n) |
(cbrt.f64 (*.f64 (pow.f64 (log1p.f64 x) 3) (/.f64 1 (pow.f64 n 3)))) |
(/.f64 (log1p.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 x) n)) 1)) |
(/.f64 (log1p.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 x) n))) |
(/.f64 (log1p.f64 x) n) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.4b | (/.f64 1/2 (*.f64 n n)) |
| 2.7b | (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) | |
| ✓ | 3.2b | (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x) |
| ✓ | 6.3b | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
Compiled 115 to 41 computations (64.3% saved)
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | n | @ | inf | (/.f64 1/2 (*.f64 n n)) |
| 2.0ms | x | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | 0 | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1.0ms | n | @ | -inf | (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x)) |
| 1× | batch-egg-rewrite |
| 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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(/.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x))))))) |
((#(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)))) |
(-.f64 (*.f64 1/2 (/.f64 1 (*.f64 (pow.f64 n 2) x))) (*.f64 1/2 (/.f64 1 (*.f64 n x)))) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 (-.f64 (*.f64 1/2 (/.f64 1 (pow.f64 n 2))) (*.f64 1/2 (/.f64 1 n))) x) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(/.f64 1/2 (pow.f64 n 2)) |
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) 1) |
(/.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (*.f64 x x) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))) x)) |
(/.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x (/.f64 x (pow.f64 x (/.f64 1 n))))) |
(/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) x)) |
(/.f64 (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x) (/.f64 x (pow.f64 x (/.f64 1 n)))) |
(/.f64 1 (*.f64 (/.f64 x (pow.f64 x (/.f64 1 n))) (/.f64 x (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) |
(/.f64 1 (/.f64 (*.f64 x x) (*.f64 (pow.f64 x (/.f64 1 n)) (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n))))) |
(/.f64 1 (*.f64 (*.f64 x (/.f64 x (pow.f64 x (/.f64 1 n)))) (/.f64 (/.f64 (-.f64 (/.f64 1/2 n) -1/2) n) (-.f64 (/.f64 1/4 (pow.f64 n 4)) (/.f64 1/4 (*.f64 n n)))))) |
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(*.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)))) |
(-.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 (+.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))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 (pow.f64 n 4) (*.f64 x x))) (fma.f64 1/2 (/.f64 (log.f64 x) (*.f64 (pow.f64 n 3) (*.f64 x x))) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 (pow.f64 n 4) (*.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)))) (fma.f64 -1/12 (/.f64 (pow.f64 (log.f64 x) 3) (*.f64 x (*.f64 x (pow.f64 n 4)))) (fma.f64 1/2 (/.f64 (/.f64 (log.f64 x) (*.f64 x x)) (pow.f64 n 3)) (*.f64 1/4 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (*.f64 x (pow.f64 n 4)))))))) (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 -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)))) |
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(*.f64 (pow.f64 x (/.f64 1 n)) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) (*.f64 x x))) |
(exp.f64 (log.f64 (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) x) (/.f64 (fma.f64 1/2 (pow.f64 n -2) (/.f64 -1/2 n)) x)))) |
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(*.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)) |
Compiled 45008 to 21988 computations (51.1% saved)
30 alts after pruning (30 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1459 | 26 | 1485 |
| Fresh | 3 | 4 | 7 |
| Picked | 1 | 0 | 1 |
| Done | 4 | 0 | 4 |
| Total | 1467 | 30 | 1497 |
| Status | Error | Program |
|---|---|---|
| 19.4b | (pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) | |
| 19.8b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 19.8b | (/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) | |
| 19.5b | (/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) | |
| ▶ | 19.7b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
| 43.6b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) | |
| 28.2b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 19.7b | (/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) n) | |
| 19.4b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 38.2b | (/.f64 (/.f64 1 x) n) | |
| 38.2b | (/.f64 (/.f64 1 n) x) | |
| 39.1b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 40.8b | (/.f64 (-.f64 x (log.f64 x)) n) | |
| ▶ | 40.7b | (/.f64 (neg.f64 (log.f64 x)) n) |
| ▶ | 19.2b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 19.7b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 19.7b | (/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ▶ | 60.9b | (/.f64 x n) |
| 38.3b | (/.f64 1 (*.f64 x n)) | |
| 33.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) | |
| ▶ | 19.4b | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 39.1b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) | |
| 39.3b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) | |
| 43.3b | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) | |
| 29.3b | (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 28.0b | (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) | |
| 19.4b | (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) | |
| 60.2b | (expm1.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 928 to 650 computations (30% 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) |
| ✓ | 4.8b | (log.f64 (/.f64 (+.f64 x 1) x)) |
Compiled 27 to 17 computations (37% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | n | @ | 0 | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 4.0ms | n | @ | inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (+.f64 x 1) x) |
| 0.0ms | x | @ | -inf | (log.f64 (/.f64 (+.f64 x 1) x)) |
| 1× | batch-egg-rewrite |
| 1480× | associate-*r/ |
| 1428× | associate-/r* |
| 1094× | associate-/l* |
| 1058× | associate-*l/ |
| 986× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 53 |
| 1 | 209 | 49 |
| 2 | 2816 | 49 |
| 1× | node limit |
| Inputs |
|---|
(log.f64 (/.f64 (+.f64 x 1) x)) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (+.f64 x 1) x) |
| Outputs |
|---|
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(/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x 1) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (+.f64 x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))))))) |
| 1× | egg-herbie |
| 1564× | associate-/r* |
| 788× | associate-+l+ |
| 654× | associate-+r+ |
| 636× | +-commutative |
| 514× | associate-/l/ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 1 x) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
1 |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 1 (/.f64 1 x)) |
(+.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 0) |
(+.f64 0 (-.f64 (log1p.f64 x) (log.f64 x))) |
(+.f64 (log1p.f64 x) (log.f64 (/.f64 1 x))) |
(+.f64 (log1p.f64 x) (neg.f64 (log.f64 x))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (+.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (-.f64 (log.f64 (cbrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) |
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (/.f64 1 x)) (log1p.f64 x)) |
(+.f64 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 (/.f64 1 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (neg.f64 (log.f64 x)))) |
(+.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (-.f64 (log.f64 (sqrt.f64 (+.f64 x 1))) (log.f64 x))) |
(+.f64 (neg.f64 (log.f64 x)) (log1p.f64 x)) |
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2))) (log.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) (log.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)))) |
(-.f64 0 (log.f64 (/.f64 x (+.f64 x 1)))) |
(-.f64 (log1p.f64 x) (log.f64 x)) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (-.f64 (log.f64 (+.f64 x -1)) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (fma.f64 x x -1)) (+.f64 (log.f64 (+.f64 x -1)) (log.f64 x))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 (/.f64 1 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (-.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (neg.f64 (log.f64 x)))) |
(-.f64 (log.f64 (+.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 (fma.f64 x x (-.f64 1 x))) (log.f64 x))) |
(-.f64 (log.f64 (-.f64 -1 x)) (log.f64 (neg.f64 x))) |
(-.f64 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 1) |
(-.f64 (+.f64 0 (log.f64 (-.f64 -1 x))) (log.f64 (neg.f64 x))) |
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 1) |
(-.f64 (-.f64 (log1p.f64 x) 0) (log.f64 x)) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x))) |
(-.f64 (-.f64 (log1p.f64 x) (log.f64 (sqrt.f64 x))) (log.f64 (sqrt.f64 x))) |
(*.f64 1 (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 1 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x)))) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (*.f64 (log.f64 x) (log.f64 x))) 1) (+.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) 1) (+.f64 (*.f64 (log1p.f64 x) (log1p.f64 x)) (+.f64 (*.f64 (log.f64 x) (log.f64 x)) (*.f64 (log1p.f64 x) (log.f64 x))))) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) |
(neg.f64 (log.f64 (/.f64 x (+.f64 x 1)))) |
(sqrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) |
(cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(log1p.f64 (-.f64 (/.f64 (+.f64 x 1) x) 1)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) 1) |
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (log.f64 (/.f64 x (+.f64 x 1))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (cbrt.f64 (*.f64 n n))) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 -1 n) (log.f64 (/.f64 x (+.f64 x 1)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (*.f64 n n)))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) (cbrt.f64 (*.f64 n n))) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) 1) |
(*.f64 1 (/.f64 (+.f64 x 1) x)) |
(*.f64 (+.f64 x 1) (/.f64 1 x)) |
(*.f64 (/.f64 (+.f64 x 1) x) 1) |
(*.f64 (sqrt.f64 (+.f64 x 1)) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) (sqrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 2) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 1 x) (+.f64 x 1)) |
(*.f64 (-.f64 -1 x) (/.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (sqrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) x) (/.f64 (sqrt.f64 (+.f64 x 1)) 1)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) x) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1)) |
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x 1) (sqrt.f64 x))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x 1) (cbrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x))) |
(*.f64 (/.f64 (+.f64 x 1) (cbrt.f64 x)) (/.f64 1 (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 -1 x) (-.f64 -1 x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) 1) (/.f64 (sqrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 (+.f64 x 1)) (cbrt.f64 x)) (/.f64 (sqrt.f64 (+.f64 x 1)) (pow.f64 (cbrt.f64 x) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 x 1)) x)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x))) |
(*.f64 (/.f64 (cbrt.f64 (+.f64 x 1)) (sqrt.f64 x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (sqrt.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x 1) x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2) x) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x 1)) 2))) (cbrt.f64 (+.f64 x 1))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (fma.f64 x x -1)) (+.f64 x 1)) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (-.f64 (pow.f64 x 3) 1)) (+.f64 1 (+.f64 x (*.f64 x x)))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
| Outputs |
|---|
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x)))) |
(-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x)) |
(fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (+.f64 x (neg.f64 (log.f64 x))))) |
(fma.f64 1/3 (pow.f64 x 3) (-.f64 (fma.f64 -1/2 (*.f64 x x) x) (log.f64 x))) |
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 -1/2 (*.f64 x x) (-.f64 x (log.f64 x)))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1 x) (/.f64 -1/2 (*.f64 x x))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 1/2 (*.f64 x x)))) |
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1/3 (pow.f64 x 3)) (/.f64 -1/2 (*.f64 x x)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 1 x) (/.f64 1/3 (pow.f64 x 3))) (/.f64 1/4 (pow.f64 x 4))) (/.f64 1/2 (*.f64 x x))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (-.f64 (/.f64 1 x) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(+.f64 (/.f64 1/3 (pow.f64 x 3)) (+.f64 (/.f64 1 x) (-.f64 (/.f64 -1/2 (*.f64 x x)) (/.f64 1/4 (pow.f64 x 4))))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n))) |
(+.f64 (/.f64 x n) (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (*.f64 (/.f64 x n) x)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n)))) |
(+.f64 (-.f64 (*.f64 -1/2 (/.f64 x (/.f64 n x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(+.f64 (*.f64 -1/2 (*.f64 (/.f64 x n) x)) (-.f64 (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n)) (/.f64 (log.f64 x) n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (/.f64 -1/2 (*.f64 x (*.f64 x n)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 -1/2 (*.f64 x (*.f64 x n))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 (/.f64 1/4 (pow.f64 x 4)) n)))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (-.f64 (/.f64 1/3 (*.f64 (pow.f64 x 3) n)) (/.f64 1/2 (*.f64 x (*.f64 x n)))) (/.f64 (/.f64 1/4 n) (pow.f64 x 4)))) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 1 x) x)) n) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
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(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 (+.f64 (pow.f64 x 3) -1) x)) (+.f64 (+.f64 x 1) (*.f64 x x))) |
(*.f64 (/.f64 (/.f64 (fma.f64 x x -1) x) (+.f64 -1 (pow.f64 x 3))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (fma.f64 x x -1) (*.f64 x (+.f64 -1 (pow.f64 x 3)))) (+.f64 1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x -1) x)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 x (fma.f64 x x -1))) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (-.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 1 x)))) (+.f64 (fma.f64 x x x) -1)) |
(*.f64 (/.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) x) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (+.f64 -1 x)))) (+.f64 -1 (fma.f64 x x x))) |
(*.f64 (/.f64 (/.f64 (+.f64 1 (pow.f64 x 3)) x) (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3))) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (-.f64 (*.f64 (-.f64 1 x) (-.f64 1 x)) (*.f64 (*.f64 x x) (-.f64 1 x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 (+.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (-.f64 1 x) 3)) x)) (+.f64 (pow.f64 x 4) (*.f64 (-.f64 1 x) (-.f64 (-.f64 1 x) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (pow.f64 x 3) 1) (*.f64 x (+.f64 (pow.f64 x 6) (pow.f64 (-.f64 1 x) 3)))) (fma.f64 (-.f64 1 x) (-.f64 1 (fma.f64 x x x)) (pow.f64 x 4))) |
(pow.f64 (/.f64 (+.f64 x 1) x) 1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x 1) x)) 2) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x 1) x)) 3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3) 1/3) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (/.f64 x (+.f64 x 1)) -1) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2)) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(neg.f64 (/.f64 (+.f64 x 1) (neg.f64 x))) |
(/.f64 (neg.f64 (+.f64 x 1)) (neg.f64 x)) |
(/.f64 (-.f64 -1 x) (neg.f64 x)) |
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 2)) |
(fabs.f64 (+.f64 1 (/.f64 1 x))) |
(fabs.f64 (/.f64 (+.f64 x 1) x)) |
(log.f64 (exp.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x 1) x)))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x 1) x) 3)) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
(exp.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(pow.f64 (E.f64) (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (exp.f64 (log1p.f64 x)) x) |
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x 1) x))) |
(+.f64 1 (/.f64 1 x)) |
(/.f64 (+.f64 x 1) x) |
Compiled 7 to 3 computations (57.1% saved)
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 (neg.f64 (log.f64 x)) n) |
Compiled 14 to 5 computations (64.3% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (neg.f64 (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 0.0ms | n | @ | 0 | (/.f64 (neg.f64 (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (neg.f64 (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1458× | add-sqr-sqrt |
| 1446× | *-un-lft-identity |
| 1342× | add-cube-cbrt |
| 1324× | add-cbrt-cube |
| 1308× | add-exp-log |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 15 |
| 1 | 165 | 11 |
| 2 | 2230 | 11 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 x) (/.f64 1 (neg.f64 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 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 *.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.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 1 n) (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)) (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) (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)) (cbrt.f64 (/.f64 (log.f64 x) n)))))) (#(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 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) 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 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 (/.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 |
| 1516× | associate-*r* |
| 1344× | distribute-lft-in |
| 1288× | associate-*l* |
| 860× | associate-+r+ |
| 748× | associate-+l+ |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 98 | 1314 |
| 1 | 237 | 1134 |
| 2 | 932 | 990 |
| 3 | 5095 | 990 |
| 1× | node limit |
| Inputs |
|---|
(*.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 -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 0 (/.f64 (log.f64 x) n)) |
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1) |
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n)) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 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 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(*.f64 (/.f64 1 n) (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)) (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) (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)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.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))) |
(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) n)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
| Outputs |
|---|
(*.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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 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 0 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(-.f64 (+.f64 1 (/.f64 (log.f64 x) n)) 1) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(-.f64 (/.f64 0 n) (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (log.f64 x) (/.f64 1 n)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 1 (/.f64 (log.f64 x) n)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) (sqrt.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (sqrt.f64 (log.f64 x)) (*.f64 (sqrt.f64 (log.f64 x)) (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (*.f64 (cbrt.f64 (log.f64 x)) (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(*.f64 (/.f64 1 n) (log.f64 x)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (sqrt.f64 (log.f64 x)) 1) (/.f64 (sqrt.f64 (log.f64 x)) n)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.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 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(/.f64 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) 1) (/.f64 (cbrt.f64 (log.f64 x)) n)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(/.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log.f64 x) n))) |
(*.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 (sqrt.f64 n)) (/.f64 (log.f64 x) (sqrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (sqrt.f64 n)) (/.f64 -1 (sqrt.f64 n))) |
(/.f64 (neg.f64 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n)) |
(neg.f64 (/.f64 (log.f64 x) (*.f64 (sqrt.f64 n) (sqrt.f64 n)))) |
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (sqrt.f64 n) (sqrt.f64 n))) |
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log.f64 x) (cbrt.f64 n))) |
(*.f64 (/.f64 (log.f64 x) (cbrt.f64 n)) (/.f64 -1 (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (/.f64 (neg.f64 (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (pow.f64 (cbrt.f64 n) 2) (cbrt.f64 n))) |
(/.f64 (neg.f64 (log.f64 x)) (*.f64 (cbrt.f64 n) (pow.f64 (cbrt.f64 n) 2))) |
(pow.f64 (/.f64 (log.f64 x) n) 1) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(pow.f64 (sqrt.f64 (/.f64 (log.f64 x) n)) 2) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 3) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 1/3) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(pow.f64 (/.f64 n (log.f64 x)) -1) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(neg.f64 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(sqrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 2)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(log.f64 (pow.f64 x (/.f64 1 n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(cbrt.f64 (pow.f64 (/.f64 (log.f64 x) n) 3)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(expm1.f64 (log1p.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(exp.f64 (log.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log.f64 x) n)) 1)) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
(log1p.f64 (expm1.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 (log.f64 x) n) 1)) |
(+.f64 (/.f64 (log.f64 x) n) 0) |
(/.f64 (log.f64 x) n) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| 0.1b | (/.f64 (log1p.f64 x) n) | |
| 0.3b | (/.f64 (log.f64 x) n) | |
| ✓ | 4.8b | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
Compiled 25 to 7 computations (72% saved)
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | -inf | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 0.0ms | x | @ | 0 | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 0.0ms | x | @ | inf | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 0.0ms | x | @ | -inf | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 0.0ms | n | @ | 0 | (-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| 1× | batch-egg-rewrite |
| 1442× | associate-/l* |
| 774× | distribute-rgt-in |
| 744× | distribute-lft-in |
| 448× | associate-/r/ |
| 404× | distribute-lft-neg-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 21 |
| 1 | 219 | 21 |
| 2 | 3265 | 21 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (log1p.f64 x) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 x) (/.f64 1 n) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n))))))) |
| 1× | egg-herbie |
| 1450× | associate-+r+ |
| 1116× | +-commutative |
| 758× | fma-def |
| 750× | associate-+r- |
| 606× | associate-*r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 450 | 10364 |
| 1 | 1398 | 10002 |
| 2 | 6322 | 10002 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (-.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 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (log.f64 x) n))) (sqrt.f64 (/.f64 (log.f64 x) n)) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 (log.f64 x) n))) (pow.f64 (cbrt.f64 (/.f64 (log.f64 x) n)) 2) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1 (/.f64 (log.f64 x) n))) |
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(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 n (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(/.f64 (sqrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 (*.f64 n n) (sqrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (/.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) (/.f64 n (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))))) |
(/.f64 (*.f64 (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))))) (/.f64 (*.f64 n n) (cbrt.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2)))) (/.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 n)) |
(/.f64 (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) n) n) |
(/.f64 (+.f64 (sqrt.f64 (log.f64 x)) (sqrt.f64 (log1p.f64 x))) (/.f64 n (-.f64 (sqrt.f64 (log1p.f64 x)) (sqrt.f64 (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log.f64 x) (neg.f64 n)))) (*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (neg.f64 (log.f64 x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log1p.f64 x) n) 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log1p.f64 x) n)) (*.f64 (*.f64 n (log.f64 x)) (*.f64 n (log.f64 x)))) (*.f64 (*.f64 n n) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) (neg.f64 n)) 3)) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) (neg.f64 n)) (-.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (log1p.f64 x) n))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) 3)) (*.f64 (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (+.f64 (pow.f64 (/.f64 (log.f64 x) n) 2) (pow.f64 (/.f64 (log1p.f64 x) n) 2)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) 3) (pow.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))) (+.f64 (*.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log1p.f64 x) n) 3)) (*.f64 (pow.f64 (/.f64 (log.f64 x) n) 3) (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)))))) |
(/.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (log1p.f64 x) n) 3) (pow.f64 (*.f64 n (log.f64 x)) 3)) (*.f64 (*.f64 n n) (+.f64 (*.f64 (*.f64 (log1p.f64 x) n) (*.f64 (log1p.f64 x) n)) (*.f64 (*.f64 n (log.f64 x)) (*.f64 n (+.f64 (log1p.f64 x) (log.f64 x))))))) |
(/.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (neg.f64 n)) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 n (*.f64 (/.f64 n (log1p.f64 x)) (log.f64 x))) (*.f64 (/.f64 n (log1p.f64 x)) n)) |
(/.f64 (-.f64 (/.f64 n (log.f64 x)) (*.f64 (/.f64 n (log1p.f64 x)) 1)) (*.f64 (/.f64 n (log1p.f64 x)) (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 (neg.f64 n) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 (log.f64 x)))) (*.f64 (/.f64 n (log1p.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) n) (*.f64 n (neg.f64 (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (/.f64 n (log.f64 x))) (neg.f64 n)) (*.f64 (neg.f64 n) (/.f64 n (log.f64 x)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (log1p.f64 x)) (neg.f64 n)) (*.f64 (neg.f64 n) (neg.f64 (log.f64 x)))) (*.f64 (neg.f64 n) (neg.f64 n))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (pow.f64 (/.f64 (log.f64 x) n) 2))) (*.f64 (/.f64 1 n) (neg.f64 (+.f64 (log1p.f64 x) (log.f64 x))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (*.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) n)))))) |
(/.f64 (neg.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 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))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(fma.f64 (log1p.f64 x) (/.f64 1 n) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 1 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (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 n (*.f64 x 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 n (*.f64 x x))) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(-.f64 (+.f64 (/.f64 -1/2 (/.f64 n (*.f64 x x))) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) (/.f64 (log.f64 x) n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(+.f64 (/.f64 1 (*.f64 x n)) (-.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(/.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 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 (log.f64 (+.f64 1 x))) (*.f64 -1 (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (neg.f64 (/.f64 1 n)) (log.f64 x) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 -1 n) (log.f64 x) (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (fma.f64 (/.f64 (log.f64 x) (neg.f64 n)) 1 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 (log1p.f64 x) n) (+.f64 (/.f64 (log.f64 x) (neg.f64 n)) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))))) |
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(*.f64 1 (/.f64 (-.f64 (pow.f64 (/.f64 (log1p.f64 x) n) 3) (pow.f64 (/.f64 (log.f64 x) n) 3)) (fma.f64 (/.f64 (log.f64 x) n) (+.f64 (/.f64 (log.f64 x) n) (/.f64 (log1p.f64 x) n)) (pow.f64 (/.f64 (log1p.f64 x) n) 2)))) |
(/.f64 (neg.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) (*.f64 n (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(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 (exp.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (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) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 1)) |
(/.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) |
(fma.f64 (log1p.f64 x) (/.f64 1 n) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 1 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 (sqrt.f64 (/.f64 (log1p.f64 x) n)) (sqrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 x) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 x) n)) (/.f64 (log.f64 x) (neg.f64 n))) |
(+.f64 (/.f64 (log1p.f64 x) n) (/.f64 (log.f64 x) (neg.f64 n))) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.1b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
| ✓ | 0.3b | (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| ✓ | 0.4b | (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
| 5.0b | (-.f64 (log1p.f64 x) (log.f64 x)) |
Compiled 38 to 12 computations (68.4% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | 0 | (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
| 1.0ms | x | @ | inf | (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
| 1.0ms | x | @ | -inf | (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
| 1.0ms | x | @ | 0 | (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
| 0.0ms | n | @ | 0 | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
| 1× | batch-egg-rewrite |
| 1170× | associate-*r/ |
| 1118× | associate-/r* |
| 1028× | *-commutative |
| 990× | associate-/l* |
| 854× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 55 |
| 1 | 255 | 55 |
| 2 | 3136 | 55 |
| 1× | node limit |
| Inputs |
|---|
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) |
(cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
| Outputs |
|---|
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(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 |
| 960× | associate-*r* |
| 802× | associate-/l* |
| 788× | associate-*l* |
| 578× | *-commutative |
| 506× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 664 | 15653 |
| 1 | 1845 | 15377 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))) |
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(*.f64 -1 (/.f64 (log.f64 x) n)) |
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(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1/3)) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (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 1 (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 1 (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 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3))) 1) (cbrt.f64 (+.f64 (pow.f64 (log1p.f64 x) 2) (*.f64 (log.f64 x) (+.f64 (log1p.f64 x) (log.f64 x)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) 1) (cbrt.f64 (+.f64 (log1p.f64 x) (log.f64 x)))) |
(pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) |
(pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/3) |
(pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 1/6) 2) |
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) 3) |
(sqrt.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) |
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))))) |
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) |
(-.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 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n)) |
(*.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n) (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.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) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (/.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 (*.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)))))) |
(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 (*.f64 (pow.f64 1 1/3) (log.f64 x))) |
(neg.f64 (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)) |
(fma.f64 -1 (log.f64 x) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1))) |
(-.f64 (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))) (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x))) |
(fma.f64 -1 (log.f64 x) (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))))) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1)))) |
(-.f64 (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/9))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))))) (*.f64 x x) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))))) (log.f64 x)) |
(+.f64 (*.f64 -1 (*.f64 (pow.f64 1 1/3) (log.f64 x))) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 1 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (*.f64 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3)))) (cbrt.f64 -1))))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (cbrt.f64 -1)))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)) 1/3))))))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))))) (+.f64 (*.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/3) (/.f64 (-.f64 1/3 (+.f64 (*.f64 -2/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2)))) (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)))) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 8)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))) (cbrt.f64 -1)) (pow.f64 (*.f64 1 (log.f64 x)) 1/3)) (*.f64 -2/9 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 5)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)) 1/3) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3))) (*.f64 1/3 (*.f64 (pow.f64 (*.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 4)) 1/9) (pow.f64 (pow.f64 (cbrt.f64 -1) 4) 1/3)))) x)))) |
(fma.f64 -1 (log.f64 x) (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (+.f64 (*.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (cbrt.f64 (log.f64 x)) (*.f64 (cbrt.f64 -1) (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))))))) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4)))))) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (+.f64 (*.f64 1/3 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (*.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (fma.f64 (*.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (-.f64 1/3 (fma.f64 -2/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) (*.f64 (*.f64 1/27 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)))) (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)))))) (cbrt.f64 -1)) (*.f64 -2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18)) (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8)))))))) (cbrt.f64 (log.f64 x)) (*.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2)) -2/9)))) (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4))) 1))))) |
(-.f64 (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) (fma.f64 -1/3 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/9))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))))) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 (fma.f64 -2/3 (*.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 -1))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 4)) 1/18)) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 4))) 1/9))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (-.f64 1/3 (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 (*.f64 (cbrt.f64 -1) (fma.f64 2/3 (/.f64 (cbrt.f64 (/.f64 1 (log.f64 x))) (/.f64 (cbrt.f64 -1) (-.f64 1/3 (fma.f64 -2/3 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5))))) (*.f64 1/27 (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 -1) 2))))))) (*.f64 -2/9 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 8)) 1/18) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 8))))))))) (cbrt.f64 (log.f64 x)) (*.f64 (*.f64 (fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (log.f64 x)) 1/18) (pow.f64 (/.f64 1 (log.f64 x)) 1/18)) (cbrt.f64 (/.f64 1 (cbrt.f64 -1)))) 1/2) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 5)))) (*.f64 (*.f64 -2/9 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 5)) 1/18)))))) (pow.f64 x 3) (*.f64 x (*.f64 (*.f64 (pow.f64 (pow.f64 (log.f64 x) 4) 1/18) (pow.f64 (pow.f64 (log.f64 x) 4) 1/18)) (cbrt.f64 (pow.f64 (cbrt.f64 -1) 4)))))) (log.f64 x)) |
(*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)) |
(*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x))) |
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1))) |
(fma.f64 1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (*.f64 x (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))) |
(fma.f64 1/3 (*.f64 x (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/18)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2))))) (*.f64 (cbrt.f64 -1) (cbrt.f64 (log.f64 x)))) |
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (log.f64 x) 2)) 1/3) (/.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (log.f64 x)) 1/9) (pow.f64 (/.f64 1 (cbrt.f64 -1)) 1/3))) 1/2) (pow.f64 x 2)) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 (pow.f64 1 4) (pow.f64 (log.f64 x) 2)) 1/9) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (cbrt.f64 -1) 2)) 1/3) x))) (*.f64 (pow.f64 (*.f64 1 (log.f64 x)) 1/3) (cbrt.f64 -1)))) |
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(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) n)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (sqrt.f64 n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (sqrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (cbrt.f64 n))) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (/.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) n)) |
(*.f64 (/.f64 (cbrt.f64 (pow.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 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2))) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (/.f64 (cbrt.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 2)) (pow.f64 (cbrt.f64 n) 2))) |
(*.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 (-.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) (*.f64 (log.f64 x) (-.f64 (log.f64 x) (log1p.f64 x)))) (/.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 (/.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 (-.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 (pow.f64 (log1p.f64 x) 3) (pow.f64 (log.f64 x) 3)) n) (/.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))))) (-.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 (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 (*.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) 4) (-.f64 (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 (log.f64 x) (log1p.f64 x)) (+.f64 (log.f64 x) (log1p.f64 x)))) (*.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 (pow.f64 (log1p.f64 x) 2) 3) (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3)) n))) |
(*.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 n (+.f64 (pow.f64 (*.f64 (log.f64 x) (+.f64 (log.f64 x) (log1p.f64 x))) 3) (pow.f64 (log1p.f64 x) 6))))) |
(pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 2) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3) 1/3) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(neg.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) (neg.f64 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 2)) |
(log.f64 (pow.f64 (/.f64 (+.f64 x 1) x) (/.f64 1 n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) 3)) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(exp.f64 (log.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
Compiled 30504 to 12887 computations (57.8% saved)
32 alts after pruning (29 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1289 | 11 | 1300 |
| Fresh | 7 | 18 | 25 |
| Picked | 1 | 0 | 1 |
| Done | 1 | 3 | 4 |
| Total | 1298 | 32 | 1330 |
| Status | Error | Program |
|---|---|---|
| 19.8b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) | |
| 43.6b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) | |
| 41.0b | (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n) | |
| 19.8b | (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3) n) | |
| 28.2b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 19.4b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| 38.2b | (/.f64 (/.f64 1 x) n) | |
| 38.2b | (/.f64 (/.f64 1 n) x) | |
| 39.1b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| ▶ | 34.2b | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
| 24.8b | (/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) | |
| ▶ | 40.8b | (/.f64 (-.f64 x (log.f64 x)) n) |
| 33.5b | (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) | |
| ✓ | 40.7b | (/.f64 (neg.f64 (log.f64 x)) n) |
| ▶ | 16.9b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| ✓ | 19.2b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 40.1b | (/.f64 (log.f64 1) n) | |
| 19.7b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) | |
| ✓ | 60.9b | (/.f64 x n) |
| 19.4b | (/.f64 1 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| ▶ | 38.3b | (/.f64 1 (*.f64 x n)) |
| 33.4b | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) | |
| 39.1b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) | |
| ▶ | 39.3b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 43.3b | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) | |
| 29.3b | (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 28.0b | (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) | |
| 34.0b | (*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| 40.7b | (*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) | |
| 60.2b | (expm1.f64 (/.f64 (log1p.f64 x) n)) |
Compiled 896 to 629 computations (29.8% saved)
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (log1p.f64 (+.f64 (/.f64 1 x) 0)) |
| ✓ | 0.2b | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
Compiled 28 to 21 computations (25% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 36.0ms | n | @ | inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 14.0ms | n | @ | 0 | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | x | @ | -inf | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 0.0ms | x | @ | 0 | (/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
| 1× | batch-egg-rewrite |
| 1878× | add-sqr-sqrt |
| 1856× | *-un-lft-identity |
| 1736× | add-cube-cbrt |
| 1716× | add-cbrt-cube |
| 198× | pow1 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 28 |
| 1 | 228 | 28 |
| 2 | 2651 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(log1p.f64 (+.f64 (/.f64 1 x) 0)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))))))) |
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (pow.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (pow.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)))))) |
| 1× | egg-herbie |
| 1382× | associate-*r/ |
| 1092× | associate-/l* |
| 864× | unswap-sqr |
| 770× | associate-*l/ |
| 684× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 163 | 1982 |
| 1 | 389 | 1938 |
| 2 | 1875 | 1938 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(/.f64 (log.f64 (+.f64 1 (/.f64 1 x))) n) |
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x)))) |
(+.f64 (*.f64 1/3 (pow.f64 x 3)) (+.f64 (*.f64 -1/2 (pow.f64 x 2)) (+.f64 x (*.f64 -1 (log.f64 x))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(/.f64 1 x) |
(-.f64 (/.f64 1 x) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (*.f64 1/2 (/.f64 1 (pow.f64 x 2)))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (pow.f64 x 3))) (/.f64 1 x)) (+.f64 (*.f64 1/4 (/.f64 1 (pow.f64 x 4))) (*.f64 1/2 (/.f64 1 (pow.f64 x 2))))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) 1) |
(*.f64 1 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) |
(*.f64 (log1p.f64 (pow.f64 x -1)) (/.f64 1 n)) |
(*.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1) |
(*.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n))) |
(*.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 n))) |
(*.f64 (/.f64 1 n) (log1p.f64 (pow.f64 x -1))) |
(*.f64 (neg.f64 (log1p.f64 (pow.f64 x -1))) (/.f64 1 (neg.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (log1p.f64 (pow.f64 x -1)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (log1p.f64 (pow.f64 x -1)) (cbrt.f64 n))) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 1) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) n)) |
(*.f64 (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (cbrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) 1) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 n))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 1) |
(pow.f64 (sqrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 2) |
(pow.f64 (cbrt.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 3) |
(pow.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3) 1/3) |
(pow.f64 (/.f64 n (log1p.f64 (pow.f64 x -1))) -1) |
(neg.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) (neg.f64 n))) |
(sqrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 2)) |
(log.f64 (exp.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)))) |
(cbrt.f64 (pow.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(exp.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n)) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (log1p.f64 (pow.f64 x -1)) n))) |
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) 1) |
(*.f64 1 (log1p.f64 (pow.f64 x -1))) |
(*.f64 (log1p.f64 (pow.f64 x -1)) 1) |
(*.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) (sqrt.f64 (log1p.f64 (pow.f64 x -1)))) |
(*.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 2) (cbrt.f64 (log1p.f64 (pow.f64 x -1)))) |
(pow.f64 (log1p.f64 (pow.f64 x -1)) 1) |
(pow.f64 (sqrt.f64 (log1p.f64 (pow.f64 x -1))) 2) |
(pow.f64 (cbrt.f64 (log1p.f64 (pow.f64 x -1))) 3) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2)) |
(log.f64 (+.f64 1 (pow.f64 x -1))) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1)))) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (log.f64 x) (neg.f64 n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n))) |
(+.f64 (/.f64 x n) (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x))))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 -1/2 (*.f64 x x)) n)))) |
(+.f64 (-.f64 (/.f64 (*.f64 x x) (/.f64 n -1/2)) (/.f64 (log.f64 x) n)) (fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (/.f64 x n))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 x (/.f64 n x)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (pow.f64 x -1) n) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 (pow.f64 x -1) n) (/.f64 (/.f64 (/.f64 -1/2 x) x) n)) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(+.f64 (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) (/.f64 1/3 (*.f64 n (pow.f64 x 3)))) |
(+.f64 (/.f64 (pow.f64 x -1) n) (+.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 (/.f64 -1/2 x) x) n))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(+.f64 (/.f64 1/3 (*.f64 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
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(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(pow.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3) 1/3) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(sqrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 2)) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(log.f64 (+.f64 1 (pow.f64 x -1))) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(cbrt.f64 (pow.f64 (log1p.f64 (pow.f64 x -1)) 3)) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(expm1.f64 (log1p.f64 (log1p.f64 (pow.f64 x -1)))) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(exp.f64 (log.f64 (log1p.f64 (pow.f64 x -1)))) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
(exp.f64 (*.f64 (log.f64 (log1p.f64 (pow.f64 x -1))) 1)) |
(log1p.f64 (/.f64 1 x)) |
(log1p.f64 (pow.f64 x -1)) |
Found 1 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.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 | x | @ | -inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | n | @ | inf | (/.f64 1 (*.f64 x n)) |
| 0.0ms | x | @ | 0 | (/.f64 1 (*.f64 x n)) |
| 1× | batch-egg-rewrite |
| 1300× | add-sqr-sqrt |
| 1284× | *-un-lft-identity |
| 1192× | add-cube-cbrt |
| 1176× | add-cbrt-cube |
| 1162× | add-exp-log |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 1 | 139 | 13 |
| 2 | 1649 | 13 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (*.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 x) (pow.f64 n -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 n -1) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x n) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x n) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (*.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))))))) |
| 1× | egg-herbie |
| 1764× | associate-/r* |
| 1214× | associate-*r* |
| 1008× | associate-*l* |
| 956× | associate-/l/ |
| 668× | associate-/r/ |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 647 |
| 1 | 151 | 647 |
| 2 | 548 | 641 |
| 3 | 3542 | 635 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (*.f64 x n) -1) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
| Outputs |
|---|
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 1 (/.f64 1 (*.f64 x n))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (*.f64 x n) -1/2) (pow.f64 (*.f64 x n) -1/2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) (cbrt.f64 (pow.f64 (*.f64 x n) -2))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x n) -2)) (cbrt.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (pow.f64 n -1)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 -1 (/.f64 1 (*.f64 x (neg.f64 n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 n -1) (/.f64 1 x)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (pow.f64 (sqrt.f64 (*.f64 x n)) -1) (pow.f64 (sqrt.f64 (*.f64 x n)) -1)) |
(pow.f64 (sqrt.f64 (*.f64 n x)) -2) |
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 x n)) 2) -1) (pow.f64 (cbrt.f64 (*.f64 x n)) -1)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (/.f64 1 (cbrt.f64 (*.f64 n x)))) |
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 n x)) 2)) (cbrt.f64 (*.f64 n x))) |
(/.f64 (pow.f64 (cbrt.f64 (*.f64 n x)) -2) (cbrt.f64 (*.f64 n x))) |
(pow.f64 (*.f64 x n) -1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (/.f64 1 (*.f64 x n)) 1) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (*.f64 x n) -1/2) 2) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (cbrt.f64 (/.f64 1 (*.f64 x n))) 3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(pow.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3) 1/3) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(sqrt.f64 (pow.f64 (*.f64 x n) -2)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log.f64 (exp.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(cbrt.f64 (pow.f64 (/.f64 1 (*.f64 x n)) 3)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(expm1.f64 (log1p.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(exp.f64 (neg.f64 (log.f64 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 (/.f64 1 x) n) |
Found 2 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (-.f64 x (log.f64 x)) |
| ✓ | 0.1b | (/.f64 (-.f64 x (log.f64 x)) n) |
Compiled 16 to 5 computations (68.8% saved)
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | -inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | 0 | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | n | @ | -inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 0.0ms | x | @ | inf | (/.f64 (-.f64 x (log.f64 x)) n) |
| 1× | batch-egg-rewrite |
| 1258× | associate-*r/ |
| 1224× | associate-/r* |
| 1088× | associate-/l* |
| 896× | *-commutative |
| 892× | associate-*l/ |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 1 | 173 | 28 |
| 2 | 2505 | 28 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 x (log.f64 x)) |
| Outputs |
|---|
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x n) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 x (log.f64 x)) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 x (log.f64 x)) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x 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(exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 x (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x))))))) |
| 1× | egg-herbie |
| 1220× | associate-+r+ |
| 1212× | associate-+l+ |
| 988× | +-commutative |
| 682× | associate-/l* |
| 658× | associate-*r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 415 | 7202 |
| 1 | 1205 | 6914 |
| 2 | 6541 | 6890 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 x n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(*.f64 -1 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
x |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n)) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1) |
(*.f64 (-.f64 x (log.f64 x)) (/.f64 1 n)) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1) |
(*.f64 1 (/.f64 (-.f64 x (log.f64 x)) n)) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1)) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x)))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n))) |
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) 1) (+.f64 x (log.f64 x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (+.f64 x (log.f64 x))))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) 1) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(pow.f64 (-.f64 x (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) |
(pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 2)) |
(log.f64 (/.f64 (exp.f64 x) x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x))))) |
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) |
(exp.f64 (log.f64 (-.f64 x (log.f64 x)))) |
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 x)))) |
(fma.f64 1 x (neg.f64 (log.f64 x))) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x))) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 x n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 (log.f64 (/.f64 1 x)) n) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(/.f64 x n) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(+.f64 (/.f64 x n) (*.f64 -1 (+.f64 (/.f64 (log.f64 -1) n) (*.f64 -1 (/.f64 (log.f64 (/.f64 -1 x)) n))))) |
(+.f64 (/.f64 x n) (neg.f64 (+.f64 (/.f64 (log.f64 -1) n) (/.f64 (neg.f64 (log.f64 (/.f64 -1 x))) n)))) |
(-.f64 (/.f64 x n) (-.f64 (/.f64 (log.f64 -1) n) (/.f64 (log.f64 (/.f64 -1 x)) n))) |
(*.f64 -1 (log.f64 x)) |
(neg.f64 (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(+.f64 x (*.f64 -1 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
x |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
(+.f64 (log.f64 (/.f64 1 x)) x) |
(-.f64 x (log.f64 x)) |
x |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (*.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))) x) |
(fma.f64 -1 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) x) |
(-.f64 x (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)) n)) |
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (-.f64 x (log.f64 x)) (log.f64 x)) (log.f64 x))) |
(*.f64 (/.f64 1 n) (-.f64 (+.f64 (log.f64 x) (-.f64 x (log.f64 x))) (log.f64 x))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)) n)) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (*.f64 (/.f64 1 n) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)))) |
(+.f64 (/.f64 (-.f64 x (log.f64 x)) n) (/.f64 (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (log.f64 x)) n)) |
(+.f64 (/.f64 x n) (neg.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 1 (neg.f64 (/.f64 (log.f64 x) n)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (neg.f64 (/.f64 (log.f64 x) n)) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(+.f64 (*.f64 (/.f64 1 n) (neg.f64 (log.f64 x))) (/.f64 x n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (/.f64 x n) (/.f64 (log.f64 x) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 x (log.f64 x)) n))) 1) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (-.f64 x (log.f64 x)) (/.f64 1 n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) n) 1) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 1 (/.f64 (-.f64 x (log.f64 x)) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (sqrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 2) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 n) (-.f64 x (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (neg.f64 (-.f64 x (log.f64 x))) (/.f64 -1 n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (sqrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (/.f64 1 (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (sqrt.f64 n)) (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (/.f64 1 (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 -1 n) (neg.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 1) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (cbrt.f64 n)) (/.f64 (sqrt.f64 (-.f64 x (log.f64 x))) (pow.f64 (cbrt.f64 n) 2))) |
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 n) 2)) (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n))) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (cbrt.f64 n)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) 1) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) n)) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n)) (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 x (log.f64 x))) (sqrt.f64 n)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (sqrt.f64 n))) |
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 n)) (-.f64 x (log.f64 x))) (sqrt.f64 n)) |
(/.f64 (/.f64 (-.f64 x (log.f64 x)) (sqrt.f64 n)) (sqrt.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (pow.f64 (cbrt.f64 n) 2)) (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n))) |
(/.f64 (*.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (pow.f64 (cbrt.f64 n) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) n) (cbrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 1 (/.f64 n (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) (cbrt.f64 (-.f64 x (log.f64 x)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) n) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (+.f64 (*.f64 x x) (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n)) (fma.f64 x x (-.f64 (pow.f64 (log.f64 x) 2) (*.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 n (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (log.f64 x) x)))) |
(*.f64 (/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) n) (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (*.f64 (log.f64 x) (+.f64 x (log.f64 x))) (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 (+.f64 x (log.f64 x)) (+.f64 x (log.f64 x))))) n)) (-.f64 (*.f64 x x) (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 n (-.f64 (pow.f64 x 4) (*.f64 (+.f64 x (log.f64 x)) (*.f64 (pow.f64 (log.f64 x) 2) (+.f64 x (log.f64 x))))))) (fma.f64 x x (*.f64 (log.f64 x) (-.f64 (neg.f64 (log.f64 x)) x)))) |
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(/.f64 (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (/.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))))) |
(*.f64 (/.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (+.f64 x (log.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 2)) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x))) |
(/.f64 (/.f64 (-.f64 (*.f64 x (pow.f64 x 3)) (pow.f64 (log.f64 x) 4)) (+.f64 x (log.f64 x))) (+.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2))) |
(*.f64 (/.f64 (fma.f64 x x (pow.f64 (log.f64 x) 2)) (fma.f64 x x (pow.f64 (log.f64 x) 2))) (-.f64 x (log.f64 x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (/.f64 1 (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 (pow.f64 (log.f64 x) 2) (pow.f64 (log.f64 x) 2))) (*.f64 (pow.f64 (log.f64 x) 2) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (pow.f64 (log.f64 x) 2) 3)) (*.f64 (+.f64 x (log.f64 x)) (+.f64 (*.f64 x (pow.f64 x 3)) (+.f64 (pow.f64 (log.f64 x) 4) (*.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (+.f64 x (log.f64 x))) (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 (log.f64 x) 2) (fma.f64 x x (pow.f64 (log.f64 x) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) |
(/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (+.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (/.f64 1 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 3)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (+.f64 (pow.f64 x 6) (pow.f64 (log.f64 x) 6)) (*.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 x 3) 3) (pow.f64 (pow.f64 (log.f64 x) 3) 3)) (*.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))) (+.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3) (pow.f64 (log.f64 x) 6))))) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) 1) (+.f64 x (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (sqrt.f64 (+.f64 x (log.f64 x)))) (sqrt.f64 (+.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (log.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 x (log.f64 x))) (cbrt.f64 (+.f64 x (log.f64 x))))) (cbrt.f64 (+.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) 1) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x)))))) |
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 (log.f64 x) 3)) (fma.f64 x x (*.f64 (log.f64 x) (+.f64 x (log.f64 x))))) |
(pow.f64 (-.f64 x (log.f64 x)) 1) |
(-.f64 x (log.f64 x)) |
(pow.f64 (sqrt.f64 (-.f64 x (log.f64 x))) 2) |
(-.f64 x (log.f64 x)) |
(pow.f64 (cbrt.f64 (-.f64 x (log.f64 x))) 3) |
(-.f64 x (log.f64 x)) |
(pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) |
(-.f64 x (log.f64 x)) |
(sqrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 2)) |
(fabs.f64 (-.f64 x (log.f64 x))) |
(log.f64 (/.f64 (exp.f64 x) x)) |
(-.f64 x (log.f64 x)) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 x (log.f64 x))))) |
(-.f64 x (log.f64 x)) |
(cbrt.f64 (pow.f64 (-.f64 x (log.f64 x)) 3)) |
(-.f64 x (log.f64 x)) |
(expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(exp.f64 (log.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(log1p.f64 (expm1.f64 (-.f64 x (log.f64 x)))) |
(-.f64 x (log.f64 x)) |
(fma.f64 1 x (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (neg.f64 (log.f64 x))) |
(-.f64 x (log.f64 x)) |
Found 3 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.0b | (exp.f64 (/.f64 x n)) |
| 0.0b | (pow.f64 x (/.f64 1 n)) | |
| ✓ | 5.5b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
Compiled 30 to 14 computations (53.3% saved)
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | n | @ | inf | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | n | @ | -inf | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | 0 | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | inf | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 0.0ms | x | @ | -inf | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 1× | batch-egg-rewrite |
| 1166× | associate-*r/ |
| 1068× | *-commutative |
| 840× | associate-/r* |
| 762× | associate-*l/ |
| 670× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 40 |
| 1 | 233 | 40 |
| 2 | 3089 | 40 |
| 1× | node limit |
| Inputs |
|---|
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (/.f64 x n)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (/.f64 x n)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (/.f64 x n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) (/.f64 1 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n)))))))) |
| 1× | egg-herbie |
| 1066× | associate-+l- |
| 930× | associate-+r- |
| 930× | associate--r+ |
| 802× | associate--l+ |
| 670× | fma-def |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 396 | 11608 |
| 1 | 1135 | 11156 |
| 2 | 5330 | 11156 |
| 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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (+.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 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (+.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 x) (*.f64 -1 (log.f64 x))) n)) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3))))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (+.f64 (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 (log.f64 x) 3))) (pow.f64 n 3)))))) (+.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 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) |
1 |
(+.f64 (/.f64 x n) 1) |
(+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) |
(+.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n))))) |
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (exp.f64 (/.f64 x n)) (+.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n))))) |
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 1 (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1/2 n))) (pow.f64 x (/.f64 1/2 n)) (pow.f64 x (/.f64 1 n)))) |
(+.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (pow.f64 x (/.f64 2 n))) (pow.f64 x (/.f64 1 n)))) |
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(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (+.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 3) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 2)) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(fma.f64 1 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1) |
(*.f64 (exp.f64 (/.f64 x n)) 1) |
(*.f64 1 (exp.f64 (/.f64 x n))) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n)))) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n)))) |
(pow.f64 (exp.f64 (/.f64 x n)) 1) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3) |
(pow.f64 (E.f64) (/.f64 x n)) |
(pow.f64 (exp.f64 x) (/.f64 1 n)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n))) |
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) |
(log.f64 (exp.f64 (exp.f64 (/.f64 x n)))) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n))))) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n)))) |
| Outputs |
|---|
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 1 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 1 (-.f64 (/.f64 x n) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (+.f64 (/.f64 x n) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 1 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (exp.f64 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 1 (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n)))) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n)) (-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (exp.f64 (/.f64 (log.f64 x) n)))) |
(+.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) 1) (-.f64 (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (*.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (fma.f64 -1 (log.f64 (/.f64 -1 x)) (log.f64 -1)) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (-.f64 (log.f64 -1) (log.f64 (/.f64 -1 x))) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))) |
(-.f64 (exp.f64 (/.f64 x n)) (exp.f64 (neg.f64 (/.f64 (neg.f64 (log.f64 x)) n)))) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(-.f64 (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))) (+.f64 (/.f64 (log.f64 x) n) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2))))) |
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(-.f64 (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.f64 x n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 (log.f64 x) n))) |
(-.f64 (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))))) (+.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 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n 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)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (-.f64 (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 (*.f64 x x) n)) (/.f64 (-.f64 x (log.f64 x)) n)) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3)))))) |
(fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (*.f64 (/.f64 1/2 n) (/.f64 (*.f64 x x) n)) (-.f64 (/.f64 (-.f64 x (log.f64 x)) n) (fma.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) (/.f64 1/6 (/.f64 (pow.f64 n 3) (pow.f64 (log.f64 x) 3))))))) |
(-.f64 (+.f64 (*.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4))) (+.f64 (*.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3))) (+.f64 (/.f64 x n) (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2)))))) (+.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 (fma.f64 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))))) (+.f64 (/.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 1/24 (/.f64 (pow.f64 x 4) (pow.f64 n 4)) (fma.f64 1/6 (/.f64 (pow.f64 x 3) (pow.f64 n 3)) (fma.f64 1/2 (*.f64 (/.f64 x n) (/.f64 x n)) (/.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 n 4) (pow.f64 (log.f64 x) 4)))))) |
(*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n)) |
(neg.f64 (/.f64 (*.f64 -1 (-.f64 x (log.f64 x))) n)) |
(/.f64 (*.f64 1 (-.f64 x (log.f64 x))) n) |
(-.f64 (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (pow.f64 n 2))) (*.f64 -1 (/.f64 (-.f64 (*.f64 -1 x) (*.f64 -1 (log.f64 x))) n))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (pow.f64 n 2)))) |
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(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(*.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (/.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (/.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (/.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (/.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) (-.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (pow.f64 x (*.f64 2 (/.f64 2 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (pow.f64 x (/.f64 4 n))) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
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(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (fma.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 6 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (+.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (fma.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 4 n)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))))) (-.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 1 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n))))) 1) (-.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) 3)) 1) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (-.f64 (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) (*.f64 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n))))))) |
(/.f64 (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (neg.f64 (pow.f64 (pow.f64 x (/.f64 1 n)) 3))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (*.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (pow.f64 x (/.f64 1 n)) 3)) (fma.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (-.f64 (neg.f64 (pow.f64 x (/.f64 1 n))) (exp.f64 (/.f64 x n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) 1) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (neg.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) 1) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (neg.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))) |
(*.f64 1 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (/.f64 (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))) (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2)) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (cbrt.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n)))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (pow.f64 x (*.f64 2 (/.f64 2 n)))) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (pow.f64 x (/.f64 4 n))) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 (exp.f64 (/.f64 x n)) 2)) (+.f64 (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 x (/.f64 2 n))) (*.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) 3) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (*.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 (pow.f64 x (/.f64 2 n)) 3)) (*.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 4) (fma.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 4 n)))))) |
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (*.f64 2 (/.f64 3 n)))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (pow.f64 x (/.f64 6 n))) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (/.f64 1 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (+.f64 (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 (exp.f64 (/.f64 x n)) 3)) (+.f64 (*.f64 (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 3 n))) (*.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (*.f64 (pow.f64 x (/.f64 3 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 3) (pow.f64 (pow.f64 x (/.f64 3 n)) 3)) (*.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n))))) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 6) (fma.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n)) (pow.f64 x (/.f64 6 n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) 1) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) (sqrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (*.f64 (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) (cbrt.f64 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (/.f64 1 (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (pow.f64 x (/.f64 2 n))) (+.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) (sqrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(/.f64 (/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2)))))) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (exp.f64 (+.f64 (/.f64 x n) (/.f64 (log.f64 x) n))) (pow.f64 (exp.f64 (/.f64 x n)) 2))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) 1) (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2) (exp.f64 (+.f64 (/.f64 (log.f64 x) n) (/.f64 x n)))))) |
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) (pow.f64 x (/.f64 3 n))) (+.f64 (pow.f64 x (/.f64 2 n)) (*.f64 (exp.f64 (/.f64 x n)) (+.f64 (exp.f64 (/.f64 x n)) (exp.f64 (/.f64 (log.f64 x) n)))))) |
(pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 1) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (sqrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 2) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) 3) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(pow.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3) 1/3) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(sqrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 2)) |
(fabs.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))) |
(log.f64 (exp.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n)))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(cbrt.f64 (pow.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) 3)) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (log1p.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(exp.f64 (log.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(log1p.f64 (expm1.f64 (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 1 (exp.f64 (/.f64 x n)) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(fma.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n))) (neg.f64 (pow.f64 x (/.f64 1 n)))) |
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) 1) |
(exp.f64 (/.f64 x n)) |
(*.f64 (exp.f64 (/.f64 x n)) 1) |
(exp.f64 (/.f64 x n)) |
(*.f64 1 (exp.f64 (/.f64 x n))) |
(exp.f64 (/.f64 x n)) |
(*.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) (sqrt.f64 (exp.f64 (/.f64 x n)))) |
(exp.f64 (/.f64 x n)) |
(*.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2))) |
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n)))) |
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) (cbrt.f64 (exp.f64 (/.f64 x n)))) |
(pow.f64 (exp.f64 (/.f64 x n)) 1) |
(exp.f64 (/.f64 x n)) |
(pow.f64 (sqrt.f64 (exp.f64 (/.f64 x n))) 2) |
(exp.f64 (/.f64 x n)) |
(pow.f64 (cbrt.f64 (exp.f64 (/.f64 x n))) 3) |
(exp.f64 (/.f64 x n)) |
(pow.f64 (E.f64) (/.f64 x n)) |
(pow.f64 (exp.f64 x) (/.f64 1 n)) |
(pow.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3) 1/3) |
(exp.f64 (/.f64 x n)) |
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (/.f64 x n)) 2)) (cbrt.f64 (/.f64 x n))) |
(pow.f64 (exp.f64 (sqrt.f64 (/.f64 x n))) (sqrt.f64 (/.f64 x n))) |
(sqrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 2)) |
(fabs.f64 (exp.f64 (/.f64 x n))) |
(log.f64 (exp.f64 (exp.f64 (/.f64 x n)))) |
(exp.f64 (/.f64 x n)) |
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (/.f64 x n))))) |
(exp.f64 (/.f64 x n)) |
(cbrt.f64 (pow.f64 (exp.f64 (/.f64 x n)) 3)) |
(exp.f64 (/.f64 x n)) |
(expm1.f64 (log1p.f64 (exp.f64 (/.f64 x n)))) |
(exp.f64 (/.f64 x n)) |
(log1p.f64 (expm1.f64 (exp.f64 (/.f64 x n)))) |
(exp.f64 (/.f64 x n)) |
Found 4 expressions with local error:
| New | Error | Program |
|---|---|---|
| ✓ | 0.3b | (/.f64 n (log.f64 x)) |
| ✓ | 0.3b | (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) |
| ✓ | 9.4b | (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) |
| ✓ | 18.3b | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
Compiled 50 to 9 computations (82% saved)
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) |
| 1.0ms | n | @ | 0 | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
| 1.0ms | n | @ | inf | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
| 1.0ms | n | @ | -inf | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
| 1.0ms | x | @ | -inf | (/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
| 1× | batch-egg-rewrite |
| 1578× | associate-/r/ |
| 1344× | associate-/l/ |
| 696× | distribute-lft-in |
| 278× | add-sqr-sqrt |
| 276× | *-un-lft-identity |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 108 |
| 1 | 264 | 108 |
| 2 | 3992 | 108 |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
(-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) |
(*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) |
(/.f64 n (log.f64 x)) |
| Outputs |
|---|
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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log1p.f64 x) (/.f64 (log.f64 x) n))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 n) (log1p.f64 x)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 x) n) 1) (log.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 x) n) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (log1p.f64 x) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (log1p.f64 x) n)) (neg.f64 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (+.f64 x 1) (/.f64 n (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) 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 n (/.f64 1 (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 (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 (neg.f64 n) (/.f64 1 (neg.f64 (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 (neg.f64 (log.f64 x))) (neg.f64 n))))) (#(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) (log.f64 x)) (sqrt.f64 n))))) (#(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 *.f64 (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)) (cbrt.f64 n))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 n (log.f64 x)) 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 pow.f64 (/.f64 (log.f64 x) n) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 n (neg.f64 (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 cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (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)))))))) |
| 1× | egg-herbie |
| 1172× | associate-*r* |
| 1124× | associate-*l* |
| 1120× | associate-/l* |
| 836× | associate-/r* |
| 826× | *-commutative |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 690 | 17468 |
| 1 | 2050 | 16044 |
| 1× | node limit |
| Inputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n)))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 1 (*.f64 n x)) |
(-.f64 (/.f64 1 (*.f64 n x)) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2))))) |
(-.f64 (+.f64 (*.f64 1/3 (/.f64 1 (*.f64 n (pow.f64 x 3)))) (/.f64 1 (*.f64 n x))) (+.f64 (*.f64 1/4 (/.f64 1 (*.f64 n (pow.f64 x 4)))) (*.f64 1/2 (/.f64 1 (*.f64 n (pow.f64 x 2)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(*.f64 -1 n) |
(+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x)))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x))))) |
(*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) |
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x)))) |
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3)))))) |
(+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (+.f64 (*.f64 1/4 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 4)))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))))))) |
(/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) |
(+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))) |
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (+.f64 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)) (*.f64 -1/4 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 4))))))) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 n (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n)) |
(*.f64 -1 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) n)) |
(/.f64 (*.f64 n x) (log.f64 x)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x))) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x)))) |
(+.f64 (*.f64 -1/4 (/.f64 (*.f64 n (pow.f64 x 4)) (log.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (/.f64 (*.f64 n x) (log.f64 x))))) |
n |
(+.f64 n (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x)))) |
(+.f64 n (+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))))) |
(+.f64 n (+.f64 (*.f64 1/2 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 2)))) (+.f64 (*.f64 -1 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) x))) (*.f64 -1/3 (/.f64 n (*.f64 (log.f64 (/.f64 1 x)) (pow.f64 x 3))))))) |
n |
(+.f64 n (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))) |
(+.f64 n (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x)))) |
(+.f64 (*.f64 1/3 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 3)))) (+.f64 n (+.f64 (*.f64 -1/2 (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) (pow.f64 x 2)))) (/.f64 n (*.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1)) x))))) |
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(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) 3) (pow.f64 (*.f64 n n) 3)) (*.f64 (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n) (+.f64 (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) (*.f64 (*.f64 n n) (*.f64 n n))) (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n n))))) |
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 3) (pow.f64 (pow.f64 n 3) 3)) (*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2) (*.f64 n (fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) n))) (+.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 n 3) (pow.f64 n 3)) (*.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) (pow.f64 n 3)))))) |
(pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 1) |
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 2) |
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 3) |
(pow.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 3) 1/3) |
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 2)) |
(log.f64 (exp.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))) |
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)))) |
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n) 3)) |
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))) |
(exp.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))) |
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n)) 1)) |
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) n))) |
(fma.f64 (log1p.f64 x) (/.f64 n (log.f64 x)) (neg.f64 n)) |
(fma.f64 (/.f64 n (log.f64 x)) (log1p.f64 x) (neg.f64 n)) |
(fma.f64 1 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) (neg.f64 n)) |
(fma.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (neg.f64 n)) |
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 2) (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) (neg.f64 n)) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) 1) |
(/.f64 (log1p.f64 x) (/.f64 (log.f64 x) n)) |
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1) |
(/.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n))) |
(/.f64 1 (*.f64 1 (/.f64 (log.f64 x) (*.f64 (log1p.f64 x) n)))) |
(/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) |
(/.f64 (*.f64 (log1p.f64 x) (neg.f64 n)) (neg.f64 (log.f64 x))) |
(/.f64 (*.f64 (neg.f64 n) (log1p.f64 x)) (neg.f64 (log.f64 x))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) 1) (log.f64 x)) |
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x))) |
(/.f64 (/.f64 (*.f64 (log1p.f64 x) n) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(/.f64 (neg.f64 (*.f64 (log1p.f64 x) n)) (neg.f64 (log.f64 x))) |
(pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 1) |
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 2) |
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 3) |
(pow.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3) 1/3) |
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 2)) |
(log.f64 (pow.f64 (+.f64 x 1) (/.f64 n (log.f64 x)))) |
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))))) |
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)) 3)) |
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) |
(exp.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x))) 1)) |
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (log1p.f64 x) n) (log.f64 x)))) |
(-.f64 (exp.f64 (log1p.f64 (/.f64 n (log.f64 x)))) 1) |
(*.f64 n (/.f64 1 (log.f64 x))) |
(*.f64 (/.f64 n (log.f64 x)) 1) |
(*.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 (neg.f64 n) (/.f64 1 (neg.f64 (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 (neg.f64 (log.f64 x))) (neg.f64 n)) |
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 n) (log.f64 x)) (sqrt.f64 n)) |
(*.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)))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n)) |
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)) (cbrt.f64 n)) |
(pow.f64 (/.f64 n (log.f64 x)) 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) |
(pow.f64 (/.f64 (log.f64 x) n) -1) |
(neg.f64 (/.f64 n (neg.f64 (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)) |
(cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (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)))) |
| Outputs |
|---|
(*.f64 -1 (/.f64 (log.f64 x) n)) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(+.f64 (/.f64 x n) (*.f64 -1 (/.f64 (log.f64 x) n))) |
(+.f64 (/.f64 (neg.f64 (log.f64 x)) n) (/.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) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 (*.f64 -1/2 x) x) n))) |
(+.f64 (*.f64 1/3 (/.f64 (pow.f64 x 3) n)) (+.f64 (/.f64 x n) (+.f64 (*.f64 -1 (/.f64 (log.f64 x) n)) (*.f64 -1/2 (/.f64 (pow.f64 x 2) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (*.f64 -1/2 (/.f64 (*.f64 x x) n))))) |
(fma.f64 1/3 (/.f64 (pow.f64 x 3) n) (+.f64 (/.f64 x n) (fma.f64 -1 (/.f64 (log.f64 x) n) (/.f64 (*.f64 (*.f64 -1/2 x) x) n)))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.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 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))) |
(-.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 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(/.f64 1 (*.f64 n x)) |
(/.f64 1 (*.f64 x n)) |
(/.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 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x)))) |
(-.f64 (/.f64 (/.f64 1 x) n) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.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 n (pow.f64 x 3))) (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 n (*.f64 x x))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (/.f64 (/.f64 1/2 n) (*.f64 x x)))) |
(-.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 n (pow.f64 x 3)))) (+.f64 (/.f64 1/2 (*.f64 n (*.f64 x x))) (/.f64 1/4 (*.f64 n (pow.f64 x 4))))) |
(+.f64 (/.f64 (/.f64 1 x) n) (-.f64 (/.f64 (/.f64 1/3 n) (pow.f64 x 3)) (+.f64 (/.f64 (/.f64 1/2 n) (*.f64 x x)) (/.f64 1/4 (*.f64 n (pow.f64 x 4)))))) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(/.f64 (*.f64 (-.f64 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x)) 1) (log.f64 x)) n) |
(/.f64 (+.f64 (/.f64 (log1p.f64 x) (log.f64 x)) -1) (/.f64 n (log.f64 x))) |
(*.f64 (/.f64 (+.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x))) n) (log.f64 x)) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1) (/.f64 n (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1)) n) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1) (/.f64 n (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1)) n) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1) (/.f64 n (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1)) n) |
(*.f64 -1 (/.f64 (*.f64 (+.f64 (*.f64 -1 (/.f64 (log.f64 (+.f64 1 x)) (log.f64 x))) 1) (log.f64 x)) n)) |
(neg.f64 (/.f64 (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1) (/.f64 n (log.f64 x)))) |
(/.f64 (*.f64 (neg.f64 (log.f64 x)) (fma.f64 -1 (/.f64 (log1p.f64 x) (log.f64 x)) 1)) n) |
(*.f64 -1 n) |
(neg.f64 n) |
(+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x))) |
(fma.f64 -1 n (/.f64 n (/.f64 (log.f64 x) x))) |
(fma.f64 -1 n (*.f64 (/.f64 n (log.f64 x)) x)) |
(+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x)))) |
(fma.f64 -1/2 (/.f64 (*.f64 n (*.f64 x x)) (log.f64 x)) (fma.f64 -1 n (/.f64 n (/.f64 (log.f64 x) x)))) |
(fma.f64 -1/2 (*.f64 (/.f64 n (log.f64 x)) (*.f64 x x)) (fma.f64 -1 n (*.f64 (/.f64 n (log.f64 x)) x))) |
(+.f64 (*.f64 1/3 (/.f64 (*.f64 n (pow.f64 x 3)) (log.f64 x))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 n (pow.f64 x 2)) (log.f64 x))) (+.f64 (*.f64 -1 n) (/.f64 (*.f64 n x) (log.f64 x))))) |
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(/.f64 n (log.f64 x)) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) |
(*.f64 (neg.f64 n) (/.f64 1 (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 n) (neg.f64 (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 (*.f64 1 (/.f64 n (sqrt.f64 (log.f64 x)))) (sqrt.f64 (log.f64 x))) |
(/.f64 (/.f64 n (sqrt.f64 (log.f64 x))) (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 (/.f64 n (cbrt.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(/.f64 (/.f64 n (pow.f64 (cbrt.f64 (log.f64 x)) 2)) (cbrt.f64 (log.f64 x))) |
(*.f64 (/.f64 1 (neg.f64 (log.f64 x))) (neg.f64 n)) |
(/.f64 (neg.f64 n) (neg.f64 (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 n) 1) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n)))) |
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(*.f64 (/.f64 (sqrt.f64 n) (log.f64 x)) (sqrt.f64 n)) |
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n)))) |
(*.f64 (sqrt.f64 n) (/.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 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (cbrt.f64 (log.f64 x)))) (pow.f64 (cbrt.f64 (log.f64 x)) 2)) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) 1) (/.f64 (cbrt.f64 n) (log.f64 x))) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (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)))) |
(*.f64 (cbrt.f64 (/.f64 n (log.f64 x))) (/.f64 (pow.f64 (cbrt.f64 n) 2) (pow.f64 (cbrt.f64 (log.f64 x)) 2))) |
(/.f64 (pow.f64 (cbrt.f64 n) 2) (/.f64 (pow.f64 (cbrt.f64 (log.f64 x)) 2) (cbrt.f64 (/.f64 n (log.f64 x))))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n))) (sqrt.f64 n)) |
(*.f64 (sqrt.f64 n) (/.f64 1 (/.f64 (log.f64 x) (sqrt.f64 n)))) |
(*.f64 (sqrt.f64 n) (/.f64 (sqrt.f64 n) (log.f64 x))) |
(*.f64 (/.f64 1 (/.f64 (log.f64 x) (pow.f64 (cbrt.f64 n) 2))) (cbrt.f64 n)) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x)) (cbrt.f64 n)) |
(*.f64 (pow.f64 (cbrt.f64 n) 2) (*.f64 (cbrt.f64 n) (/.f64 1 (log.f64 x)))) |
(*.f64 (cbrt.f64 n) (/.f64 (pow.f64 (cbrt.f64 n) 2) (log.f64 x))) |
(pow.f64 (/.f64 n (log.f64 x)) 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)) |
(pow.f64 (/.f64 (log.f64 x) n) -1) |
(/.f64 n (log.f64 x)) |
(neg.f64 (/.f64 n (neg.f64 (log.f64 x)))) |
(/.f64 (neg.f64 n) (neg.f64 (log.f64 x))) |
(sqrt.f64 (pow.f64 (/.f64 n (log.f64 x)) 2)) |
(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)) |
(cbrt.f64 (/.f64 (pow.f64 n 3) (pow.f64 (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)) |
Compiled 29694 to 11016 computations (62.9% saved)
34 alts after pruning (29 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1166 | 15 | 1181 |
| Fresh | 10 | 14 | 24 |
| Picked | 1 | 0 | 1 |
| Done | 2 | 5 | 7 |
| Total | 1179 | 34 | 1213 |
| Status | Error | Program |
|---|---|---|
| 40.9b | (pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) | |
| 41.2b | (pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3) | |
| 41.8b | (/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n) | |
| 43.6b | (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) | |
| 41.0b | (/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n) | |
| 28.2b | (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) | |
| 40.8b | (/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) | |
| 38.2b | (/.f64 (/.f64 1 x) n) | |
| 38.2b | (/.f64 (/.f64 1 n) x) | |
| 39.1b | (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) | |
| 33.5b | (/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) | |
| ✓ | 40.7b | (/.f64 (neg.f64 (log.f64 x)) n) |
| 42.2b | (/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) | |
| 16.9b | (/.f64 (log1p.f64 (/.f64 1 x)) n) | |
| ✓ | 19.2b | (/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
| 40.1b | (/.f64 (log.f64 1) n) | |
| 41.2b | (/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) | |
| ✓ | 60.9b | (/.f64 x n) |
| ✓ | 38.3b | (/.f64 1 (*.f64 x n)) |
| 39.1b | (-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) | |
| 41.6b | (-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) | |
| 49.3b | (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) | |
| 45.5b | (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) | |
| ✓ | 39.3b | (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
| 39.4b | (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) | |
| 56.2b | (-.f64 (exp.f64 (/.f64 x n)) 1) | |
| 43.4b | (-.f64 1 (pow.f64 x (/.f64 1 n))) | |
| 43.3b | (-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) | |
| 61.9b | (+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) | |
| 43.6b | (*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) | |
| 28.0b | (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) | |
| 34.0b | (*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) | |
| 38.2b | (*.f64 (/.f64 1 x) (/.f64 1 n)) | |
| 40.7b | (*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
Compiled 467 to 328 computations (29.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.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)) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) |
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n) |
(-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(/.f64 (-.f64 (*.f64 (log1p.f64 x) (/.f64 n (log.f64 x))) n) (*.f64 n (/.f64 n (log.f64 x)))) |
(-.f64 (-.f64 (+.f64 (/.f64 x n) (/.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 n n))) (/.f64 (log.f64 x) n)) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 3) n) |
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (log1p.f64 x) (log.f64 x))) 2) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) 3) |
(/.f64 (pow.f64 (pow.f64 (-.f64 (log1p.f64 x) (log.f64 x)) 3) 1/3) n) |
(+.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) (*.f64 x n)) (*.f64 (/.f64 (exp.f64 (/.f64 (log.f64 x) n)) x) (/.f64 (+.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 -1/2 n)) x))) |
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (-.f64 (log1p.f64 x) (log.f64 x))))) 3) n) |
(+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (log1p.f64 x) n) 2) (/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n)) (*.f64 (/.f64 (pow.f64 (log.f64 x) 2) (*.f64 n n)) -1/2)) |
(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 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 1 x) x) (/.f64 1 n)) (+.f64 (pow.f64 x (/.f64 2 n)) (pow.f64 (+.f64 1 x) (/.f64 2 n))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n)))))) |
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (exp.f64 (/.f64 (log1p.f64 x) n)) (pow.f64 x (/.f64 1 n)))) 2) (cbrt.f64 (+.f64 (pow.f64 x (/.f64 2 n)) (+.f64 (pow.f64 (+.f64 1 x) (/.f64 2 n)) (pow.f64 (fma.f64 x x x) (/.f64 1 n)))))) (cbrt.f64 (-.f64 (pow.f64 (+.f64 1 x) (/.f64 3 n)) (pow.f64 x (/.f64 3 n))))) |
(/.f64 (/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2)))) (/.f64 (+.f64 (log1p.f64 x) (log.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (log1p.f64 x) 2) (pow.f64 (log.f64 x) 2))))) n) |
| Outputs |
|---|
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
4 calls:
| 129.0ms | (/.f64 1 n) |
| 113.0ms | n |
| 64.0ms | x |
| 7.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.0b | 2 | x |
| 0.5b | 3 | n |
| 10.6b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 0.5b | 3 | (/.f64 1 n) |
Compiled 843 to 408 computations (51.6% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 90.0ms | 0.00848657541689586 | 95340983.06476845 |
| 49.0ms | -277630467650057.28 | -3.80862496283535 |
| 55.0ms | 170× | body | 256 | valid |
| 46.0ms | 102× | body | 1024 | valid |
| 13.0ms | 42× | body | 512 | valid |
| 4.0ms | 6× | body | 2048 | valid |
Compiled 480 to 355 computations (26% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.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)) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(-.f64 (+.f64 (/.f64 x n) 1) (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) (*.f64 n n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 (log1p.f64 x) (log.f64 x)))) n) |
(*.f64 (/.f64 1 (*.f64 n n)) (*.f64 n (-.f64 (log1p.f64 x) (log.f64 x)))) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (expm1.f64 (log1p.f64 (-.f64 x (log.f64 x)))) n) |
(/.f64 (pow.f64 (cbrt.f64 (neg.f64 (log.f64 x))) 3) n) |
(pow.f64 (cbrt.f64 (/.f64 (-.f64 x (log.f64 x)) n)) 3) |
(pow.f64 (/.f64 n (-.f64 (log1p.f64 x) (log.f64 x))) -1) |
(/.f64 (-.f64 (log1p.f64 x) (*.f64 3 (log.f64 (cbrt.f64 x)))) n) |
(/.f64 (pow.f64 (pow.f64 (-.f64 x (log.f64 x)) 3) 1/3) n) |
| Outputs |
|---|
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) |
4 calls:
| 64.0ms | (/.f64 1 n) |
| 56.0ms | n |
| 37.0ms | x |
| 6.0ms | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| Error | Segments | Branch |
|---|---|---|
| 7.0b | 2 | x |
| 0.5b | 3 | n |
| 10.6b | 2 | (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))) |
| 0.5b | 3 | (/.f64 1 n) |
Compiled 431 to 213 computations (50.6% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0488668858392882e-8 | 117.83316012358854 |
| 0.0ms | -0.2625619507717412 | -3.6019101522404314e-15 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
(expm1.f64 (/.f64 (log1p.f64 x) n)) |
(-.f64 1 (exp.f64 (/.f64 (log.f64 x) n))) |
(/.f64 (-.f64 (log1p.f64 x) (log.f64 x)) n) |
(pow.f64 (/.f64 n (-.f64 x (log.f64 x))) -1) |
(*.f64 (/.f64 1 n) (-.f64 (log1p.f64 x) (log.f64 x))) |
(-.f64 (/.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)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))) |
3 calls:
| 55.0ms | n |
| 47.0ms | (/.f64 1 n) |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.0b | 2 | x |
| 0.7b | 4 | n |
| 0.7b | 3 | (/.f64 1 n) |
Compiled 293 to 153 computations (47.8% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0488668858392882e-8 | 117.83316012358854 |
| 0.0ms | -3.6019101522404314e-15 | -4.347262165211714e-19 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 74.0ms | n |
| 35.0ms | (/.f64 1 n) |
| 24.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.0b | 2 | x |
| 0.9b | 4 | n |
| 0.9b | 3 | (/.f64 1 n) |
Compiled 219 to 127 computations (42% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0488668858392882e-8 | 117.83316012358854 |
| 0.0ms | -3.6019101522404314e-15 | -4.347262165211714e-19 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (/.f64 1 (/.f64 1 (-.f64 x (log.f64 x)))) n) |
| Outputs |
|---|
(/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 83.0ms | n |
| 32.0ms | (/.f64 1 n) |
| 21.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 7.1b | 2 | x |
| 0.9b | 4 | n |
| 0.9b | 3 | (/.f64 1 n) |
Compiled 208 to 120 computations (42.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0488668858392882e-8 | 117.83316012358854 |
| 0.0ms | -3.6019101522404314e-15 | -4.347262165211714e-19 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
(/.f64 (log.f64 (/.f64 (+.f64 x 1) x)) n) |
(/.f64 (log1p.f64 (+.f64 (/.f64 1 x) 0)) n) |
(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) 1) |
(/.f64 (neg.f64 n) (*.f64 n (/.f64 n (log.f64 x)))) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(-.f64 1 (pow.f64 x (/.f64 1 n))) |
3 calls:
| 60.0ms | n |
| 28.0ms | (/.f64 1 n) |
| 28.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 2 | x |
| 0.9b | 4 | n |
| 0.9b | 3 | (/.f64 1 n) |
Compiled 189 to 111 computations (41.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0488668858392882e-8 | 117.83316012358854 |
| 0.0ms | -1.4745923695608898e+20 | -0.2625619507717412 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
(/.f64 (-.f64 x (log.f64 x)) n) |
(*.f64 (log.f64 x) (/.f64 1 (neg.f64 n))) |
| Outputs |
|---|
(/.f64 (log.f64 1) n) |
(/.f64 (log1p.f64 (/.f64 1 x)) n) |
3 calls:
| 58.0ms | n |
| 49.0ms | x |
| 20.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 14.9b | 2 | x |
| 7.0b | 3 | n |
| 7.0b | 2 | (/.f64 1 n) |
Compiled 148 to 85 computations (42.6% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4745923695608898e+20 | -0.2625619507717412 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
(/.f64 (neg.f64 (log.f64 x)) n) |
(-.f64 (exp.f64 (/.f64 x n)) 1) |
| Outputs |
|---|
(/.f64 (neg.f64 (log.f64 x)) n) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(/.f64 (log.f64 1) n) |
3 calls:
| 72.0ms | n |
| 48.0ms | (/.f64 1 n) |
| 29.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 15.5b | 3 | x |
| 22.8b | 10 | n |
| 24.4b | 7 | (/.f64 1 n) |
Compiled 129 to 75 computations (41.9% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 101.0ms | 1.0624929829983716e+190 | 3.9109761534472546e+191 |
| 83.0ms | 0.4983887552481466 | 35.2918960961413 |
| 83.0ms | 71× | body | 2048 | valid |
| 65.0ms | 79× | body | 1024 | valid |
| 15.0ms | 47× | body | 256 | valid |
| 7.0ms | 27× | body | 512 | valid |
| 6.0ms | 32× | body | 256 | infinite |
| 3.0ms | 18× | body | 256 | unsamplable |
| 2.0ms | 3× | body | 1024 | infinite |
Compiled 321 to 239 computations (25.5% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
(/.f64 (log.f64 1) n) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
(/.f64 (log.f64 1) n) |
(/.f64 (/.f64 1 n) x) |
3 calls:
| 20.0ms | n |
| 20.0ms | x |
| 14.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 36.2b | 2 | x |
| 28.2b | 3 | n |
| 28.3b | 2 | (/.f64 1 n) |
Compiled 118 to 69 computations (41.5% saved)
| 2× | binary-search |
| Time | Left | Right |
|---|---|---|
| 75.0ms | 3.3774835425149724e-47 | 2.015980783327112e-41 |
| 53.0ms | -3.80862496283535 | -6.781535159427037e-21 |
| 50.0ms | 280× | body | 256 | valid |
| 40.0ms | 209× | body | 256 | unsamplable |
| 15.0ms | 70× | body | 256 | infinite |
| 14.0ms | 31× | body | 1024 | valid |
| 4.0ms | 9× | body | 512 | valid |
Compiled 320 to 255 computations (20.3% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 1/2 (*.f64 (*.f64 x x) n))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 1/2 n) (*.f64 x x))) |
(-.f64 (/.f64 1 (*.f64 x n)) (/.f64 (/.f64 (/.f64 1/2 x) x) n)) |
(+.f64 (/.f64 x n) (*.f64 (-.f64 (/.f64 1/2 (*.f64 n n)) (/.f64 1/2 n)) (*.f64 x x))) |
| Outputs |
|---|
(-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) |
(/.f64 (/.f64 1 n) x) |
3 calls:
| 18.0ms | n |
| 12.0ms | x |
| 11.0ms | (/.f64 1 n) |
| Error | Segments | Branch |
|---|---|---|
| 36.7b | 2 | x |
| 33.6b | 3 | n |
| 33.6b | 2 | (/.f64 1 n) |
Compiled 114 to 66 computations (42.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.4745923695608898e+20 | -0.2625619507717412 |
Compiled 18 to 13 computations (27.8% saved)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 (/.f64 1 x) n) |
(*.f64 (/.f64 1 x) (/.f64 1 n)) |
| Outputs |
|---|
(/.f64 (/.f64 1 n) x) |
3 calls:
| 6.0ms | n |
| 4.0ms | (/.f64 1 n) |
| 4.0ms | x |
| Error | Segments | Branch |
|---|---|---|
| 38.2b | 1 | x |
| 38.2b | 1 | n |
| 38.2b | 1 | (/.f64 1 n) |
Compiled 38 to 25 computations (34.2% saved)
Total -23.1b remaining (-60.4%)
Threshold costs -23.1b (-60.4%)
| Inputs |
|---|
(/.f64 x n) |
(/.f64 1 (*.f64 x n)) |
| Outputs |
|---|
(/.f64 1 (*.f64 x n)) |
2 calls:
| 4.0ms | x |
| 3.0ms | n |
| Error | Segments | Branch |
|---|---|---|
| 38.3b | 1 | x |
| 38.3b | 1 | n |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
| 28× | +-commutative |
| 24× | sub-neg |
| 16× | *-commutative |
| 12× | neg-mul-1 |
| 12× | neg-sub0 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 80 | 769 |
| 1 | 111 | 769 |
| 2 | 129 | 769 |
| 3 | 143 | 769 |
| 4 | 149 | 769 |
| 5 | 150 | 769 |
| 1× | fuel |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 n -11500) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 22500000) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(if (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 (log.f64 1) n))) |
(if (<=.f64 n -4278419646001971/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 x n) |
| Outputs |
|---|
(if (<=.f64 n -11500) (/.f64 (log1p.f64 (/.f64 1 x)) n) (if (<=.f64 n 22500000) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n)))) (/.f64 (log1p.f64 (/.f64 1 x)) n))) |
(if (or (<=.f64 n -11500) (not (<=.f64 n 22500000))) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (cbrt.f64 (pow.f64 x (/.f64 3 n))))) |
(if (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (or (<=.f64 (/.f64 1 n) -3602879701896397/18014398509481984) (not (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272))) (-.f64 (exp.f64 (/.f64 x n)) (pow.f64 x (/.f64 1 n))) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 (/.f64 x n) 1) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 (+.f64 1 (/.f64 x n)) (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 (pow.f64 x (/.f64 1 n)) n) (/.f64 1 x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (*.f64 (/.f64 1 x) (/.f64 (pow.f64 x (/.f64 1 n)) n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 x n)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -2535301200456459/1267650600228229401496703205376) (/.f64 (pow.f64 x (/.f64 1 n)) (*.f64 n x)) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 0 n) (if (<=.f64 (/.f64 1 n) 3022314549036573/151115727451828646838272) (/.f64 (log1p.f64 (/.f64 1 x)) n) (-.f64 1 (pow.f64 x (/.f64 1 n))))) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 (log.f64 1) n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (/.f64 0 n) (/.f64 (log1p.f64 (/.f64 1 x)) n)) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 (log.f64 1) n))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (-.f64 (/.f64 1 x) (/.f64 (/.f64 1/2 x) x)) n) (/.f64 0 n))) |
(if (<=.f64 x 6124895493223875/9007199254740992) (/.f64 (neg.f64 (log.f64 x)) n) (if (<=.f64 x 370000000000000018932320643868602903645146026020310713384825556168188886572047700782015319315480202764278327184363562015843900234538125450301462436045416187350390143914768242538302098072666112) (/.f64 (+.f64 (/.f64 1 x) (/.f64 (/.f64 -1/2 x) x)) n) (/.f64 0 n))) |
(if (<=.f64 n -4278419646001971/1125899906842624) (/.f64 (/.f64 1 n) x) (if (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448) (/.f64 (log.f64 1) n) (/.f64 (/.f64 1 n) x))) |
(if (or (<=.f64 n -4278419646001971/1125899906842624) (not (<=.f64 n 5335536475078679/3138550867693340381917894711603833208051177722232017256448))) (/.f64 (/.f64 1 n) x) (/.f64 0 n)) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (-.f64 (+.f64 1 (/.f64 1 (*.f64 x n))) 1) (/.f64 (/.f64 1 n) x)) |
(if (<=.f64 (/.f64 1 n) -100000000000000000000) (+.f64 (+.f64 1 (/.f64 1 (*.f64 n x))) -1) (/.f64 (/.f64 1 n) x)) |
(/.f64 (/.f64 1 n) x) |
(/.f64 1 (*.f64 x n)) |
(/.f64 1 (*.f64 n x)) |
(/.f64 x n) |
Compiled 311 to 227 computations (27% saved)
| 4× | egg-herbie |
| 1564× | associate-/r* |
| 1382× | associate-*r/ |
| 1092× | associate-/l* |
| 940× | associate--r+ |
| 940× | associate--r+ |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 448 | 13248 |
| 1 | 1288 | 12594 |
| 2 | 5562 | 12586 |
| 0 | 384 | 5359 |
| 1 | 981 | 4933 |
| 2 | 3970 | 4927 |
| 0 | 163 | 1982 |
| 1 | 389 | 1938 |
| 2 | 1875 | 1938 |
| 0 | 448 | 13248 |
| 1 | 1288 | 12594 |
| 2 | 5562 | 12586 |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
| 1× | node limit |
Compiled 180 to 124 computations (31.1% saved)
Compiled 287 to 197 computations (31.4% saved)
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